From: bangerth Date: Tue, 21 Apr 2009 03:10:42 +0000 (+0000) Subject: Avoid round-off problems. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=92803d7cf331330c2d7dd21c410db984b6b35a95;p=dealii-svn.git Avoid round-off problems. git-svn-id: https://svn.dealii.org/trunk@18667 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/tests/deal.II/derivative_approximation_2/cmp/generic b/tests/deal.II/derivative_approximation_2/cmp/generic index 4d8b159df5..cef4b7df3f 100644 --- a/tests/deal.II/derivative_approximation_2/cmp/generic +++ b/tests/deal.II/derivative_approximation_2/cmp/generic @@ -519,17 +519,17 @@ DEAL:: DEAL::cell 2.0 DEAL::approx. gradient: 1.68054 -2.12960 0.00000 , norm: 2.71283 DEAL:: exact gradient: 2.84675 -1.40255 0.00000 , norm: 3.17350 -DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 0.00000 0.00000 0.00000 0.00000 , norm: 17.5230 +DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 2.22045e-16 0.00000 2.22045e-16 0.00000 , norm: 17.5230 DEAL:: exact second derivative (hessian): -6.22074 -10.2694 0.00000 -10.2694 -9.71991 0.00000 0.00000 0.00000 0.00000 , norm: 18.3877 -DEAL::approx. third derivative: -26.3331 33.7236 -9.11744e-10 33.7236 -29.0569 -9.94867e-10 -9.11744e-10 -9.94867e-10 1.38239e-14 33.7236 -29.0569 -9.94867e-10 -29.0569 51.5294 5.42802e-10 -9.94867e-10 5.42802e-10 -1.94370e-10 -9.11744e-10 -9.94867e-10 1.38239e-14 -9.94867e-10 5.42802e-10 -1.94370e-10 1.38239e-14 -1.94370e-10 1.07415e-15 , norm: 96.4027 +DEAL::approx. third derivative: -26.3331 33.7236 -1.00945e-09 33.7236 -29.0569 -1.02148e-09 -1.00945e-09 -1.02148e-09 1.38239e-14 33.7236 -29.0569 -1.02148e-09 -29.0569 51.5294 -9.10732e-11 -1.02148e-09 -9.10732e-11 -3.46920e-15 -1.00945e-09 -1.02148e-09 1.38239e-14 -1.02148e-09 -9.10732e-11 -3.46920e-15 1.38239e-14 -3.46920e-15 0.00000 , norm: 96.4027 DEAL:: exact third derivative: -45.5480 22.4408 0.00000 22.4408 -71.1687 0.00000 0.00000 0.00000 0.00000 22.4408 -71.1687 0.00000 -71.1687 35.0638 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 141.456 DEAL:: DEAL::cell 2.1 DEAL::approx. gradient: 0.193085 -4.43086 0.00000 , norm: 4.43506 DEAL:: exact gradient: 0.229461 -2.91816 0.00000 , norm: 2.92717 -DEAL::approx. second derivative (hessian): -10.4429 -0.928602 6.10623e-16 -0.928602 -6.89131 0.00000 6.10623e-16 0.00000 0.00000 , norm: 10.6711 +DEAL::approx. second derivative (hessian): -10.4429 -0.928602 2.22045e-16 -0.928602 -6.89131 4.44089e-16 2.22045e-16 4.44089e-16 0.00000 , norm: 10.6711 DEAL:: exact second derivative (hessian): -12.9429 -0.827763 0.00000 -0.827763 -20.2233 0.00000 0.00000 0.00000 0.00000 , norm: 20.3162 -DEAL::approx. third derivative: -3.02553 46.6543 -1.51620e-09 46.6543 -2.80690 -1.24888e-09 -1.51620e-09 -1.24888e-09 -1.50003e-14 46.6543 -2.80690 -1.24888e-09 -2.80690 107.212 -3.67039e-09 -1.24888e-09 -3.67039e-09 -4.04402e-10 -1.51620e-09 -1.24888e-09 -1.50003e-14 -1.24888e-09 -3.67039e-09 -4.04402e-10 -1.50003e-14 -4.04402e-10 0.00000 , norm: 134.377 +DEAL::approx. third derivative: -3.02553 46.6543 -2.30673e-09 46.6543 -2.80690 -1.26564e-09 -2.30673e-09 -1.26564e-09 -1.66238e-14 46.6543 -2.80690 -1.26564e-09 -2.80690 107.212 -1.03269e-09 -1.26564e-09 -1.03269e-09 -6.83620e-15 -2.30673e-09 -1.26564e-09 -1.66238e-14 -1.26564e-09 -1.03269e-09 -6.83620e-15 -1.66238e-14 -6.83620e-15 0.00000 , norm: 134.377 DEAL:: exact third derivative: -3.67138 46.6905 0.00000 46.6905 -5.73653 0.00000 0.00000 0.00000 0.00000 46.6905 -5.73653 0.00000 -5.73653 72.9539 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 109.428 DEAL:: DEAL::cell 2.2 @@ -537,15 +537,15 @@ DEAL::approx. gradient: -0.620717 -1.73631 0.00000 , norm: 1.84393 DEAL:: exact gradient: -1.05146 -2.28707 0.00000 , norm: 2.51719 DEAL::approx. second derivative (hessian): 3.70772 -10.7223 0.00000 -10.7223 2.55155 0.00000 0.00000 0.00000 0.00000 , norm: 13.8675 DEAL:: exact second derivative (hessian): 2.29766 -16.7458 0.00000 -16.7458 3.59010 0.00000 0.00000 0.00000 0.00000 , norm: 19.7021 -DEAL::approx. third derivative: 9.72628 45.9222 -9.43301e-10 45.9222 16.9488 -3.55502e-09 -9.43301e-10 -3.55502e-09 3.16941e-10 45.9222 16.9488 -3.55502e-09 16.9488 42.0131 4.97817e-10 -3.55502e-09 4.97817e-10 -6.33879e-10 -9.43301e-10 -3.55502e-09 3.16941e-10 -3.55502e-09 4.97817e-10 -6.33879e-10 3.16941e-10 -6.33879e-10 0.00000 , norm: 95.1212 +DEAL::approx. third derivative: 9.72628 45.9222 4.11639e-10 45.9222 16.9488 -8.82233e-10 4.11639e-10 -8.82233e-10 0.00000 45.9222 16.9488 -8.82233e-10 16.9488 42.0131 3.19990e-10 -8.82233e-10 3.19990e-10 -2.36848e-15 4.11639e-10 -8.82233e-10 0.00000 -8.82233e-10 3.19990e-10 -2.36848e-15 0.00000 -2.36848e-15 0.00000 , norm: 95.1212 DEAL:: exact third derivative: 16.8234 36.5930 0.00000 36.5930 26.2865 0.00000 0.00000 0.00000 0.00000 36.5930 26.2865 0.00000 26.2865 57.1766 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 98.1952 DEAL:: DEAL::cell 2.3 DEAL::approx. gradient: -0.0713169 -3.61258 0.00000 , norm: 3.61328 DEAL:: exact gradient: -0.0847526 -4.75848 0.00000 , norm: 4.75923 -DEAL::approx. second derivative (hessian): 3.85715 -1.02293 1.33227e-15 -1.02293 5.30876 0.00000 1.33227e-15 0.00000 2.66454e-15 , norm: 5.83722 +DEAL::approx. second derivative (hessian): 3.85715 -1.02293 0.00000 -1.02293 5.30876 0.00000 0.00000 0.00000 0.00000 , norm: 5.83722 DEAL:: exact second derivative (hessian): 4.78053 -1.34979 0.00000 -1.34979 7.46958 0.00000 0.00000 0.00000 0.00000 , norm: 8.03022 -DEAL::approx. third derivative: 1.11750 57.2075 5.64474e-10 57.2075 1.53782 -1.70455e-09 5.64474e-10 -1.70455e-09 -1.58759e-14 57.2075 1.53782 -1.70455e-09 1.53782 87.4126 3.48283e-10 -1.70455e-09 3.48283e-10 1.31883e-09 5.64474e-10 -1.70455e-09 -1.58759e-14 -1.70455e-09 3.48283e-10 1.31883e-09 -1.58759e-14 1.31883e-09 -2.85444e-15 , norm: 132.164 +DEAL::approx. third derivative: 1.11750 57.2075 7.77759e-10 57.2075 1.53782 3.77879e-10 7.77759e-10 3.77879e-10 -1.65793e-14 57.2075 1.53782 3.77879e-10 1.53782 87.4126 1.15707e-09 3.77879e-10 1.15707e-09 -9.47390e-15 7.77759e-10 3.77879e-10 -1.65793e-14 3.77879e-10 1.15707e-09 -9.47390e-15 -1.65793e-14 -9.47390e-15 0.00000 , norm: 132.164 DEAL:: exact third derivative: 1.35604 76.1357 0.00000 76.1357 2.11882 0.00000 0.00000 0.00000 0.00000 76.1357 2.11882 0.00000 2.11882 118.962 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 177.643 DEAL:: DEAL::cell 2.4 @@ -553,111 +553,111 @@ DEAL::approx. gradient: 1.68054 -2.12960 0.00000 , norm: 2.71283 DEAL:: exact gradient: 2.84675 -1.40255 0.00000 , norm: 3.17350 DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 0.00000 0.00000 0.00000 0.00000 , norm: 17.5230 DEAL:: exact second derivative (hessian): -6.22074 -10.2694 0.00000 -10.2694 -9.71991 0.00000 0.00000 0.00000 0.00000 , norm: 18.3877 -DEAL::approx. third derivative: -26.3331 33.7236 -9.11765e-10 33.7236 -29.0569 -9.41415e-10 -9.11765e-10 -9.41415e-10 2.80775e-15 33.7236 -29.0569 -9.41415e-10 -29.0569 51.5294 1.03291e-10 -9.41415e-10 1.03291e-10 -4.44089e-15 -9.11765e-10 -9.41415e-10 2.80775e-15 -9.41415e-10 1.03291e-10 -4.44089e-15 2.80775e-15 -4.44089e-15 0.00000 , norm: 96.4027 +DEAL::approx. third derivative: -26.3331 33.7236 -1.00947e-09 33.7236 -29.0569 -1.12650e-09 -1.00947e-09 -1.12650e-09 4.73695e-15 33.7236 -29.0569 -1.12650e-09 -29.0569 51.5294 -2.13648e-10 -1.12650e-09 -2.13648e-10 -4.73695e-15 -1.00947e-09 -1.12650e-09 4.73695e-15 -1.12650e-09 -2.13648e-10 -4.73695e-15 4.73695e-15 -4.73695e-15 0.00000 , norm: 96.4027 DEAL:: exact third derivative: -45.5480 22.4408 0.00000 22.4408 -71.1687 0.00000 0.00000 0.00000 0.00000 22.4408 -71.1687 0.00000 -71.1687 35.0638 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 141.456 DEAL:: DEAL::cell 2.5 DEAL::approx. gradient: 0.193085 -4.43086 0.00000 , norm: 4.43506 DEAL:: exact gradient: 0.229461 -2.91816 0.00000 , norm: 2.92717 -DEAL::approx. second derivative (hessian): -10.4429 -0.928602 4.16334e-16 -0.928602 -6.89131 1.33227e-15 4.16334e-16 1.33227e-15 0.00000 , norm: 10.6711 +DEAL::approx. second derivative (hessian): -10.4429 -0.928602 2.22045e-16 -0.928602 -6.89131 4.44089e-16 2.22045e-16 4.44089e-16 0.00000 , norm: 10.6711 DEAL:: exact second derivative (hessian): -12.9429 -0.827763 0.00000 -0.827763 -20.2233 0.00000 0.00000 0.00000 0.00000 , norm: 20.3162 -DEAL::approx. third derivative: -3.02553 46.6543 -1.51620e-09 46.6543 -2.80690 -1.01832e-09 -1.51620e-09 -1.01832e-09 5.88277e-16 46.6543 -2.80690 -1.01832e-09 -2.80690 107.212 -1.94716e-09 -1.01832e-09 -1.94716e-09 6.06581e-10 -1.51620e-09 -1.01832e-09 5.88277e-16 -1.01832e-09 -1.94716e-09 6.06581e-10 5.88277e-16 6.06581e-10 0.00000 , norm: 134.377 +DEAL::approx. third derivative: -3.02553 46.6543 -2.30673e-09 46.6543 -2.80690 -1.27771e-09 -2.30673e-09 -1.27771e-09 -4.44540e-17 46.6543 -2.80690 -1.27771e-09 -2.80690 107.212 -1.28772e-09 -1.27771e-09 -1.28772e-09 -6.83620e-15 -2.30673e-09 -1.27771e-09 -4.44540e-17 -1.27771e-09 -1.28772e-09 -6.83620e-15 -4.44540e-17 -6.83620e-15 0.00000 , norm: 134.377 DEAL:: exact third derivative: -3.67138 46.6905 0.00000 46.6905 -5.73653 0.00000 0.00000 0.00000 0.00000 46.6905 -5.73653 0.00000 -5.73653 72.9539 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 109.428 DEAL:: DEAL::cell 2.6 DEAL::approx. gradient: -0.620717 -1.73631 0.00000 , norm: 1.84393 DEAL:: exact gradient: -1.05146 -2.28707 0.00000 , norm: 2.51719 -DEAL::approx. second derivative (hessian): 3.70772 -10.7223 1.33227e-15 -10.7223 2.55155 0.00000 1.33227e-15 0.00000 0.00000 , norm: 13.8675 +DEAL::approx. second derivative (hessian): 3.70772 -10.7223 0.00000 -10.7223 2.55155 0.00000 0.00000 0.00000 0.00000 , norm: 13.8675 DEAL:: exact second derivative (hessian): 2.29766 -16.7458 0.00000 -16.7458 3.59010 0.00000 0.00000 0.00000 0.00000 , norm: 19.7021 -DEAL::approx. third derivative: 9.72628 45.9222 -1.26026e-09 45.9222 16.9488 -1.94478e-09 -1.26026e-09 -1.94478e-09 -9.51480e-16 45.9222 16.9488 -1.94478e-09 16.9488 42.0131 5.95000e-10 -1.94478e-09 5.95000e-10 -1.77636e-15 -1.26026e-09 -1.94478e-09 -9.51480e-16 -1.94478e-09 5.95000e-10 -1.77636e-15 -9.51480e-16 -1.77636e-15 0.00000 , norm: 95.1212 +DEAL::approx. third derivative: 9.72628 45.9222 7.54106e-10 45.9222 16.9488 -1.27193e-09 7.54106e-10 -1.27193e-09 0.00000 45.9222 16.9488 -1.27193e-09 16.9488 42.0131 5.08842e-10 -1.27193e-09 5.08842e-10 -2.36848e-15 7.54106e-10 -1.27193e-09 0.00000 -1.27193e-09 5.08842e-10 -2.36848e-15 0.00000 -2.36848e-15 0.00000 , norm: 95.1212 DEAL:: exact third derivative: 16.8234 36.5930 0.00000 36.5930 26.2865 0.00000 0.00000 0.00000 0.00000 36.5930 26.2865 0.00000 26.2865 57.1766 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 98.1952 DEAL:: DEAL::cell 2.7 DEAL::approx. gradient: -0.0713169 -3.61258 0.00000 , norm: 3.61328 DEAL:: exact gradient: -0.0847526 -4.75848 0.00000 , norm: 4.75923 -DEAL::approx. second derivative (hessian): 3.85715 -1.02293 1.66533e-16 -1.02293 5.30876 0.00000 1.66533e-16 0.00000 0.00000 , norm: 5.83722 +DEAL::approx. second derivative (hessian): 3.85715 -1.02293 -6.66134e-16 -1.02293 5.30876 -4.44089e-16 -6.66134e-16 -4.44089e-16 0.00000 , norm: 5.83722 DEAL:: exact second derivative (hessian): 4.78053 -1.34979 0.00000 -1.34979 7.46958 0.00000 0.00000 0.00000 0.00000 , norm: 8.03022 -DEAL::approx. third derivative: 1.11750 57.2075 4.06002e-10 57.2075 1.53782 -9.85543e-10 4.06002e-10 -9.85543e-10 6.59433e-10 57.2075 1.53782 -9.85543e-10 1.53782 87.4126 5.50481e-10 -9.85543e-10 5.50481e-10 -1.14699e-14 4.06002e-10 -9.85543e-10 6.59433e-10 -9.85543e-10 5.50481e-10 -1.14699e-14 6.59433e-10 -1.14699e-14 0.00000 , norm: 132.164 +DEAL::approx. third derivative: 1.11750 57.2075 7.77756e-10 57.2075 1.53782 4.17232e-10 7.77756e-10 4.17232e-10 8.51555e-15 57.2075 1.53782 4.17232e-10 1.53782 87.4126 7.64140e-10 4.17232e-10 7.64140e-10 -6.79033e-15 7.77756e-10 4.17232e-10 8.51555e-15 4.17232e-10 7.64140e-10 -6.79033e-15 8.51555e-15 -6.79033e-15 0.00000 , norm: 132.164 DEAL:: exact third derivative: 1.35604 76.1357 0.00000 76.1357 2.11882 0.00000 0.00000 0.00000 0.00000 76.1357 2.11882 0.00000 2.11882 118.962 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 177.643 DEAL:: DEAL::cell 2.8 DEAL::approx. gradient: -2.18681 -2.65841 0.00000 , norm: 3.44227 DEAL:: exact gradient: -2.59879 -1.75082 0.00000 , norm: 3.13354 -DEAL::approx. second derivative (hessian): -6.26549 10.5170 -8.88178e-16 10.5170 -4.13461 -4.44089e-16 -8.88178e-16 -4.44089e-16 0.00000 , norm: 15.7709 +DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 -2.22045e-16 0.00000 -2.22045e-16 0.00000 , norm: 15.7709 DEAL:: exact second derivative (hessian): -7.76542 9.37494 0.00000 9.37494 -12.1335 0.00000 0.00000 0.00000 0.00000 , norm: 19.5754 -DEAL::approx. third derivative: 34.2660 27.9914 -1.87813e-11 27.9914 31.7900 1.56323e-09 -1.87813e-11 1.56323e-09 1.24649e-15 27.9914 31.7900 1.56323e-09 31.7900 64.3247 2.35268e-09 1.56323e-09 2.35268e-09 7.27882e-10 -1.87813e-11 1.56323e-09 1.24649e-15 1.56323e-09 2.35268e-09 7.27882e-10 1.24649e-15 7.27882e-10 0.00000 , norm: 103.413 +DEAL::approx. third derivative: 34.2660 27.9914 -1.29600e-09 27.9914 31.7900 1.24725e-09 -1.29600e-09 1.24725e-09 1.09559e-15 27.9914 31.7900 1.24725e-09 31.7900 64.3247 1.56142e-09 1.24725e-09 1.56142e-09 1.58255e-15 -1.29600e-09 1.24725e-09 1.09559e-15 1.24725e-09 1.56142e-09 1.58255e-15 1.09559e-15 1.58255e-15 0.00000 , norm: 103.413 DEAL:: exact third derivative: 41.5807 28.0132 0.00000 28.0132 64.9698 0.00000 0.00000 0.00000 0.00000 28.0132 64.9698 0.00000 64.9698 43.7706 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 136.610 DEAL:: DEAL::cell 2.9 DEAL::approx. gradient: -3.07924 1.55817 0.00000 , norm: 3.45104 DEAL:: exact gradient: -3.03773 1.02621 0.00000 , norm: 3.20638 -DEAL::approx. second derivative (hessian): -1.68350 13.1766 -4.44089e-16 13.1766 2.42343 -2.22045e-16 -4.44089e-16 -2.22045e-16 0.00000 , norm: 13.7056 +DEAL::approx. second derivative (hessian): -1.68350 13.1766 -4.44089e-16 13.1766 2.42343 -1.11022e-16 -4.44089e-16 -1.11022e-16 0.00000 , norm: 13.7056 DEAL:: exact second derivative (hessian): 4.55156 10.9584 0.00000 10.9584 7.11181 0.00000 0.00000 0.00000 0.00000 , norm: 16.8646 -DEAL::approx. third derivative: 48.2500 -4.34834 2.08309e-09 -4.34834 41.3783 1.28723e-09 2.08309e-09 1.28723e-09 3.07741e-15 -4.34834 41.3783 1.28723e-09 41.3783 -37.7027 1.19664e-09 1.28723e-09 1.19664e-09 1.42211e-10 2.08309e-09 1.28723e-09 3.07741e-15 1.28723e-09 1.19664e-09 1.42211e-10 3.07741e-15 1.42211e-10 -7.85930e-16 , norm: 94.5662 +DEAL::approx. third derivative: 48.2500 -4.34834 -1.30125e-10 -4.34834 41.3783 2.59622e-10 -1.30125e-10 2.59622e-10 7.08936e-16 -4.34834 41.3783 2.59622e-10 41.3783 -37.7027 2.69057e-10 2.59622e-10 2.69057e-10 -9.27584e-16 -1.30125e-10 2.59622e-10 7.08936e-16 2.59622e-10 2.69057e-10 -9.27584e-16 7.08936e-16 -9.27584e-16 0.00000 , norm: 94.5662 DEAL:: exact third derivative: 48.6036 -16.4194 0.00000 -16.4194 75.9432 0.00000 0.00000 0.00000 0.00000 -16.4194 75.9432 0.00000 75.9432 -25.6553 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 145.366 DEAL:: DEAL::cell 2.10 DEAL::approx. gradient: 0.807709 -2.16746 0.00000 , norm: 2.31306 DEAL:: exact gradient: 0.959877 -2.85497 0.00000 , norm: 3.01201 -DEAL::approx. second derivative (hessian): 2.31419 11.5854 -8.88178e-16 11.5854 3.18513 -2.22045e-16 -8.88178e-16 -2.22045e-16 1.33227e-15 , norm: 14.3432 +DEAL::approx. second derivative (hessian): 2.31419 11.5854 0.00000 11.5854 3.18513 0.00000 0.00000 0.00000 0.00000 , norm: 14.3432 DEAL:: exact second derivative (hessian): 2.86820 15.2872 0.00000 15.2872 4.48156 0.00000 0.00000 0.00000 0.00000 , norm: 18.9833 -DEAL::approx. third derivative: -12.6563 34.3231 8.47790e-10 34.3231 -17.4168 1.59145e-09 8.47790e-10 1.59145e-09 1.05323e-14 34.3231 -17.4168 1.59145e-09 -17.4168 52.4454 1.98718e-09 1.59145e-09 1.98718e-09 -2.37382e-09 8.47790e-10 1.59145e-09 1.05323e-14 1.59145e-09 1.98718e-09 -2.37382e-09 1.05323e-14 -2.37382e-09 -2.91861e-16 , norm: 85.7611 +DEAL::approx. third derivative: -12.6563 34.3231 4.28212e-10 34.3231 -17.4168 1.42369e-09 4.28212e-10 1.42369e-09 1.59872e-14 34.3231 -17.4168 1.42369e-09 -17.4168 52.4454 1.76519e-09 1.42369e-09 1.76519e-09 4.73695e-15 4.28212e-10 1.42369e-09 1.59872e-14 1.42369e-09 1.76519e-09 4.73695e-15 1.59872e-14 4.73695e-15 0.00000 , norm: 85.7611 DEAL:: exact third derivative: -15.3580 45.6795 0.00000 45.6795 -23.9969 0.00000 0.00000 0.00000 0.00000 45.6795 -23.9969 0.00000 -23.9969 71.3742 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 115.402 DEAL:: DEAL::cell 2.11 DEAL::approx. gradient: 1.13734 1.27041 0.00000 , norm: 1.70513 DEAL:: exact gradient: 1.12200 1.67339 0.00000 , norm: 2.01472 -DEAL::approx. second derivative (hessian): 0.621808 14.9824 4.44089e-16 14.9824 -1.86690 0.00000 4.44089e-16 0.00000 0.00000 , norm: 15.6565 +DEAL::approx. second derivative (hessian): 0.621808 14.9824 0.00000 14.9824 -1.86690 0.00000 0.00000 0.00000 0.00000 , norm: 15.6565 DEAL:: exact second derivative (hessian): -1.68114 17.8692 0.00000 17.8692 -2.62678 0.00000 0.00000 0.00000 0.00000 , norm: 20.0294 -DEAL::approx. third derivative: -17.8214 -0.455036 -3.76682e-10 -0.455036 -21.9168 9.75826e-10 -3.76682e-10 9.75826e-10 2.31897e-10 -0.455036 -21.9168 9.75826e-10 -21.9168 -30.7399 -1.99200e-10 9.75826e-10 -1.99200e-10 -9.27584e-10 -3.76682e-10 9.75826e-10 2.31897e-10 9.75826e-10 -1.99200e-10 -9.27584e-10 2.31897e-10 -9.27584e-10 0.00000 , norm: 52.0019 +DEAL::approx. third derivative: -17.8214 -0.455036 1.23206e-09 -0.455036 -21.9168 1.88659e-09 1.23206e-09 1.88659e-09 -1.18424e-15 -0.455036 -21.9168 1.88659e-09 -21.9168 -30.7399 -4.83623e-10 1.88659e-09 -4.83623e-10 0.00000 1.23206e-09 1.88659e-09 -1.18424e-15 1.88659e-09 -4.83623e-10 0.00000 -1.18424e-15 0.00000 0.00000 , norm: 52.0019 DEAL:: exact third derivative: -17.9520 -26.7742 0.00000 -26.7742 -28.0500 0.00000 0.00000 0.00000 0.00000 -26.7742 -28.0500 0.00000 -28.0500 -41.8347 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 81.1381 DEAL:: DEAL::cell 2.12 DEAL::approx. gradient: -2.18681 -2.65841 0.00000 , norm: 3.44227 DEAL:: exact gradient: -2.59879 -1.75082 0.00000 , norm: 3.13354 -DEAL::approx. second derivative (hessian): -6.26549 10.5170 -4.44089e-16 10.5170 -4.13461 2.22045e-16 -4.44089e-16 2.22045e-16 0.00000 , norm: 15.7709 +DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 -2.22045e-16 0.00000 -2.22045e-16 0.00000 , norm: 15.7709 DEAL:: exact second derivative (hessian): -7.76542 9.37494 0.00000 9.37494 -12.1335 0.00000 0.00000 0.00000 0.00000 , norm: 19.5754 -DEAL::approx. third derivative: 34.2660 27.9914 -1.87739e-11 27.9914 31.7900 1.69988e-09 -1.87739e-11 1.69988e-09 -6.80553e-15 27.9914 31.7900 1.69988e-09 31.7900 64.3247 -7.49023e-10 1.69988e-09 -7.49023e-10 -1.21315e-10 -1.87739e-11 1.69988e-09 -6.80553e-15 1.69988e-09 -7.49023e-10 -1.21315e-10 -6.80553e-15 -1.21315e-10 -9.86076e-32 , norm: 103.413 +DEAL::approx. third derivative: 34.2660 27.9914 -1.29600e-09 27.9914 31.7900 8.37303e-10 -1.29600e-09 8.37303e-10 -6.60196e-15 27.9914 31.7900 8.37303e-10 31.7900 64.3247 2.02044e-09 8.37303e-10 2.02044e-09 1.58255e-15 -1.29600e-09 8.37303e-10 -6.60196e-15 8.37303e-10 2.02044e-09 1.58255e-15 -6.60196e-15 1.58255e-15 0.00000 , norm: 103.413 DEAL:: exact third derivative: 41.5807 28.0132 0.00000 28.0132 64.9698 0.00000 0.00000 0.00000 0.00000 28.0132 64.9698 0.00000 64.9698 43.7706 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 136.610 DEAL:: DEAL::cell 2.13 DEAL::approx. gradient: -3.07924 1.55817 0.00000 , norm: 3.45104 DEAL:: exact gradient: -3.03773 1.02621 0.00000 , norm: 3.20638 -DEAL::approx. second derivative (hessian): -1.68350 13.1766 -4.44089e-16 13.1766 2.42343 -1.11022e-16 -4.44089e-16 -1.11022e-16 0.00000 , norm: 13.7056 +DEAL::approx. second derivative (hessian): -1.68350 13.1766 0.00000 13.1766 2.42343 0.00000 0.00000 0.00000 0.00000 , norm: 13.7056 DEAL:: exact second derivative (hessian): 4.55156 10.9584 0.00000 10.9584 7.11181 0.00000 0.00000 0.00000 0.00000 , norm: 16.8646 -DEAL::approx. third derivative: 48.2500 -4.34834 2.08309e-09 -4.34834 41.3783 1.11034e-09 2.08309e-09 1.11034e-09 1.63120e-15 -4.34834 41.3783 1.11034e-09 41.3783 -37.7027 1.26844e-10 1.11034e-09 1.26844e-10 -1.48030e-15 2.08309e-09 1.11034e-09 1.63120e-15 1.11034e-09 1.26844e-10 -1.48030e-15 1.63120e-15 -1.48030e-15 9.86076e-32 , norm: 94.5662 +DEAL::approx. third derivative: 48.2500 -4.34834 -1.30128e-10 -4.34834 41.3783 4.52042e-10 -1.30128e-10 4.52042e-10 0.00000 -4.34834 41.3783 4.52042e-10 41.3783 -37.7027 3.58740e-10 4.52042e-10 3.58740e-10 -1.18424e-15 -1.30128e-10 4.52042e-10 0.00000 4.52042e-10 3.58740e-10 -1.18424e-15 0.00000 -1.18424e-15 0.00000 , norm: 94.5662 DEAL:: exact third derivative: 48.6036 -16.4194 0.00000 -16.4194 75.9432 0.00000 0.00000 0.00000 0.00000 -16.4194 75.9432 0.00000 75.9432 -25.6553 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 145.366 DEAL:: DEAL::cell 2.14 DEAL::approx. gradient: 0.807709 -2.16746 0.00000 , norm: 2.31306 DEAL:: exact gradient: 0.959877 -2.85497 0.00000 , norm: 3.01201 -DEAL::approx. second derivative (hessian): 2.31419 11.5854 -6.66134e-16 11.5854 3.18513 -2.22045e-16 -6.66134e-16 -2.22045e-16 0.00000 , norm: 14.3432 +DEAL::approx. second derivative (hessian): 2.31419 11.5854 -1.66533e-16 11.5854 3.18513 -2.22045e-16 -1.66533e-16 -2.22045e-16 0.00000 , norm: 14.3432 DEAL:: exact second derivative (hessian): 2.86820 15.2872 0.00000 15.2872 4.48156 0.00000 0.00000 0.00000 0.00000 , norm: 18.9833 -DEAL::approx. third derivative: -12.6563 34.3231 9.63738e-10 34.3231 -17.4168 1.51751e-09 9.63738e-10 1.51751e-09 1.18691e-09 34.3231 -17.4168 1.51751e-09 -17.4168 52.4454 1.59571e-09 1.51751e-09 1.59571e-09 -7.91269e-10 9.63738e-10 1.51751e-09 1.18691e-09 1.51751e-09 1.59571e-09 -7.91269e-10 1.18691e-09 -7.91269e-10 0.00000 , norm: 85.7611 +DEAL::approx. third derivative: -12.6563 34.3231 4.28210e-10 34.3231 -17.4168 2.76067e-09 4.28210e-10 2.76067e-09 -8.47953e-15 34.3231 -17.4168 2.76067e-09 -17.4168 52.4454 2.47243e-09 2.76067e-09 2.47243e-09 6.34703e-15 4.28210e-10 2.76067e-09 -8.47953e-15 2.76067e-09 2.47243e-09 6.34703e-15 -8.47953e-15 6.34703e-15 0.00000 , norm: 85.7611 DEAL:: exact third derivative: -15.3580 45.6795 0.00000 45.6795 -23.9969 0.00000 0.00000 0.00000 0.00000 45.6795 -23.9969 0.00000 -23.9969 71.3742 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 115.402 DEAL:: DEAL::cell 2.15 DEAL::approx. gradient: 1.13734 1.27041 0.00000 , norm: 1.70513 DEAL:: exact gradient: 1.12200 1.67339 0.00000 , norm: 2.01472 -DEAL::approx. second derivative (hessian): 0.621808 14.9824 -4.44089e-16 14.9824 -1.86690 0.00000 -4.44089e-16 0.00000 0.00000 , norm: 15.6565 +DEAL::approx. second derivative (hessian): 0.621808 14.9824 0.00000 14.9824 -1.86690 0.00000 0.00000 0.00000 0.00000 , norm: 15.6565 DEAL:: exact second derivative (hessian): -1.68114 17.8692 0.00000 17.8692 -2.62678 0.00000 0.00000 0.00000 0.00000 , norm: 20.0294 -DEAL::approx. third derivative: -17.8214 -0.455036 -1.44794e-10 -0.455036 -21.9168 1.23515e-09 -1.44794e-10 1.23515e-09 -4.94832e-16 -0.455036 -21.9168 1.23515e-09 -21.9168 -30.7399 -2.70306e-10 1.23515e-09 -2.70306e-10 -5.92119e-16 -1.44794e-10 1.23515e-09 -4.94832e-16 1.23515e-09 -2.70306e-10 -5.92119e-16 -4.94832e-16 -5.92119e-16 0.00000 , norm: 52.0019 +DEAL::approx. third derivative: -17.8214 -0.455036 1.85958e-09 -0.455036 -21.9168 5.96971e-10 1.85958e-09 5.96971e-10 -1.18424e-15 -0.455036 -21.9168 5.96971e-10 -21.9168 -30.7399 -2.07267e-10 5.96971e-10 -2.07267e-10 0.00000 1.85958e-09 5.96971e-10 -1.18424e-15 5.96971e-10 -2.07267e-10 0.00000 -1.18424e-15 0.00000 0.00000 , norm: 52.0019 DEAL:: exact third derivative: -17.9520 -26.7742 0.00000 -26.7742 -28.0500 0.00000 0.00000 0.00000 0.00000 -26.7742 -28.0500 0.00000 -28.0500 -41.8347 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 81.1381 DEAL:: DEAL::cell 2.16 DEAL::approx. gradient: -2.07199 -0.0301951 0.00000 , norm: 2.07221 DEAL:: exact gradient: -3.50985 -0.0397729 0.00000 , norm: 3.51007 -DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 -2.08167e-16 0.00000 -2.08167e-16 0.00000 , norm: 12.3856 +DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 0.00000 0.00000 0.00000 0.00000 , norm: 12.3856 DEAL:: exact second derivative (hessian): 7.66975 -0.291215 0.00000 -0.291215 11.9840 0.00000 0.00000 0.00000 0.00000 , norm: 12.0036 -DEAL::approx. third derivative: 32.4669 0.798604 1.26552e-09 0.798604 56.5762 -7.47819e-10 1.26552e-09 -7.47819e-10 -9.47390e-15 0.798604 56.5762 -7.47819e-10 56.5762 0.730622 -1.24819e-09 -7.47819e-10 -1.24819e-09 1.18424e-15 1.26552e-09 -7.47819e-10 -9.47390e-15 -7.47819e-10 -1.24819e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 +DEAL::approx. third derivative: 32.4669 0.798604 1.38599e-09 0.798604 56.5762 -4.62318e-10 1.38599e-09 -4.62318e-10 -9.47390e-15 0.798604 56.5762 -4.62318e-10 56.5762 0.730622 2.21033e-09 -4.62318e-10 2.21033e-09 1.18424e-15 1.38599e-09 -4.62318e-10 -9.47390e-15 -4.62318e-10 2.21033e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 DEAL:: exact third derivative: 56.1576 0.636366 0.00000 0.636366 87.7462 0.00000 0.00000 0.00000 0.00000 0.636366 87.7462 0.00000 87.7462 0.994322 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 162.031 DEAL:: DEAL::cell 2.17 DEAL::approx. gradient: -0.238060 -0.0628240 0.00000 , norm: 0.246211 DEAL:: exact gradient: -0.282910 -0.0827516 0.00000 , norm: 0.294764 -DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 -1.11022e-16 -0.0177892 17.7210 -4.44089e-16 -1.11022e-16 -4.44089e-16 0.00000 , norm: 17.7211 +DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 0.00000 -0.0177892 17.7210 0.00000 0.00000 0.00000 0.00000 , norm: 17.7211 DEAL:: exact second derivative (hessian): 15.9577 -0.0234733 0.00000 -0.0234733 24.9339 0.00000 0.00000 0.00000 0.00000 , norm: 24.9340 -DEAL::approx. third derivative: 3.73027 0.994859 1.88562e-09 0.994859 5.13335 -2.60357e-10 1.88562e-09 -2.60357e-10 3.87721e-15 0.994859 5.13335 -2.60357e-10 5.13335 1.52014 -5.84801e-10 -2.60357e-10 -5.84801e-10 0.00000 1.88562e-09 -2.60357e-10 3.87721e-15 -2.60357e-10 -5.84801e-10 0.00000 3.87721e-15 0.00000 0.00000 , norm: 9.91205 +DEAL::approx. third derivative: 3.73027 0.994859 2.86029e-09 0.994859 5.13335 7.69358e-10 2.86029e-09 7.69358e-10 4.73695e-15 0.994859 5.13335 7.69358e-10 5.13335 1.52014 4.58687e-09 7.69358e-10 4.58687e-09 0.00000 2.86029e-09 7.69358e-10 4.73695e-15 7.69358e-10 4.58687e-09 0.00000 4.73695e-15 0.00000 0.00000 , norm: 9.91205 DEAL:: exact third derivative: 4.52656 1.32403 0.00000 1.32403 7.07275 0.00000 0.00000 0.00000 0.00000 1.32403 7.07275 0.00000 7.07275 2.06879 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 13.4201 DEAL:: DEAL::cell 2.18 @@ -665,31 +665,31 @@ DEAL::approx. gradient: -0.685975 1.28263 0.00000 , norm: 1.45455 DEAL:: exact gradient: -1.16200 2.26198 0.00000 , norm: 2.54299 DEAL::approx. second derivative (hessian): 4.09752 9.07897 0.00000 9.07897 8.61921 0.00000 0.00000 0.00000 0.00000 , norm: 15.7146 DEAL:: exact second derivative (hessian): 2.53922 16.5621 0.00000 16.5621 3.96754 0.00000 0.00000 0.00000 0.00000 , norm: 19.8309 -DEAL::approx. third derivative: 10.7488 -43.1484 -1.61735e-09 -43.1484 45.8745 -2.05143e-09 -1.61735e-09 -2.05143e-09 -3.55271e-15 -43.1484 45.8745 -2.05143e-09 45.8745 -31.0355 -2.94921e-09 -2.05143e-09 -2.94921e-09 1.18424e-15 -1.61735e-09 -2.05143e-09 -3.55271e-15 -2.05143e-09 -2.94921e-09 1.18424e-15 -3.55271e-15 1.18424e-15 0.00000 , norm: 113.919 +DEAL::approx. third derivative: 10.7488 -43.1484 -1.57746e-09 -43.1484 45.8745 -2.01924e-09 -1.57746e-09 -2.01924e-09 -2.36848e-15 -43.1484 45.8745 -2.01924e-09 45.8745 -31.0355 -3.03740e-09 -2.01924e-09 -3.03740e-09 2.36848e-15 -1.57746e-09 -2.01924e-09 -2.36848e-15 -2.01924e-09 -3.03740e-09 2.36848e-15 -2.36848e-15 2.36848e-15 0.00000 , norm: 113.919 DEAL:: exact third derivative: 18.5921 -36.1917 0.00000 -36.1917 29.0501 0.00000 0.00000 0.00000 0.00000 -36.1917 29.0501 0.00000 29.0501 -56.5496 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 100.024 DEAL:: DEAL::cell 2.19 DEAL::approx. gradient: -0.0788147 2.66865 0.00000 , norm: 2.66981 DEAL:: exact gradient: -0.0936630 4.70629 0.00000 , norm: 4.70722 -DEAL::approx. second derivative (hessian): 4.26266 0.888734 1.38778e-16 0.888734 17.9332 0.00000 1.38778e-16 0.00000 0.00000 , norm: 17.9907 +DEAL::approx. second derivative (hessian): 4.26266 0.888734 0.00000 0.888734 17.9332 0.00000 0.00000 0.00000 0.00000 , norm: 17.9907 DEAL:: exact second derivative (hessian): 5.28312 1.33498 0.00000 1.33498 8.25488 0.00000 0.00000 0.00000 0.00000 , norm: 8.76650 -DEAL::approx. third derivative: 1.23498 -51.8568 3.90309e-10 -51.8568 3.88741 -1.93264e-09 3.90309e-10 -1.93264e-09 -1.18424e-15 -51.8568 3.88741 -1.93264e-09 3.88741 -64.5726 -5.62830e-09 -1.93264e-09 -5.62830e-09 8.28967e-15 3.90309e-10 -1.93264e-09 -1.18424e-15 -1.93264e-09 -5.62830e-09 8.28967e-15 -1.18424e-15 8.28967e-15 0.00000 , norm: 110.833 +DEAL::approx. third derivative: 1.23498 -51.8568 7.12995e-10 -51.8568 3.88741 -1.61228e-09 7.12995e-10 -1.61228e-09 0.00000 -51.8568 3.88741 -1.61228e-09 3.88741 -64.5726 -5.81177e-09 -1.61228e-09 -5.81177e-09 9.47390e-15 7.12995e-10 -1.61228e-09 0.00000 -1.61228e-09 -5.81177e-09 9.47390e-15 0.00000 9.47390e-15 0.00000 , norm: 110.833 DEAL:: exact third derivative: 1.49861 -75.3007 0.00000 -75.3007 2.34157 0.00000 0.00000 0.00000 0.00000 -75.3007 2.34157 0.00000 2.34157 -117.657 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 175.706 DEAL:: DEAL::cell 2.20 DEAL::approx. gradient: -2.07199 -0.0301951 0.00000 , norm: 2.07221 DEAL:: exact gradient: -3.50985 -0.0397729 0.00000 , norm: 3.51007 -DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 -1.04083e-16 0.00000 -1.04083e-16 0.00000 , norm: 12.3856 +DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 0.00000 0.00000 0.00000 0.00000 , norm: 12.3856 DEAL:: exact second derivative (hessian): 7.66975 -0.291215 0.00000 -0.291215 11.9840 0.00000 0.00000 0.00000 0.00000 , norm: 12.0036 -DEAL::approx. third derivative: 32.4669 0.798604 1.26552e-09 0.798604 56.5762 -8.32566e-10 1.26552e-09 -8.32566e-10 -9.47390e-15 0.798604 56.5762 -8.32566e-10 56.5762 0.730622 -9.31253e-10 -8.32566e-10 -9.31253e-10 1.18424e-15 1.26552e-09 -8.32566e-10 -9.47390e-15 -8.32566e-10 -9.31253e-10 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 +DEAL::approx. third derivative: 32.4669 0.798604 1.38599e-09 0.798604 56.5762 -4.62318e-10 1.38599e-09 -4.62318e-10 -9.47390e-15 0.798604 56.5762 -4.62318e-10 56.5762 0.730622 2.21033e-09 -4.62318e-10 2.21033e-09 1.18424e-15 1.38599e-09 -4.62318e-10 -9.47390e-15 -4.62318e-10 2.21033e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 DEAL:: exact third derivative: 56.1576 0.636366 0.00000 0.636366 87.7462 0.00000 0.00000 0.00000 0.00000 0.636366 87.7462 0.00000 87.7462 0.994322 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 162.031 DEAL:: DEAL::cell 2.21 DEAL::approx. gradient: -0.238060 -0.0628240 0.00000 , norm: 0.246211 DEAL:: exact gradient: -0.282910 -0.0827516 0.00000 , norm: 0.294764 -DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 -5.55112e-17 -0.0177892 17.7210 -8.88178e-16 -5.55112e-17 -8.88178e-16 0.00000 , norm: 17.7211 +DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 0.00000 -0.0177892 17.7210 0.00000 0.00000 0.00000 0.00000 , norm: 17.7211 DEAL:: exact second derivative (hessian): 15.9577 -0.0234733 0.00000 -0.0234733 24.9339 0.00000 0.00000 0.00000 0.00000 , norm: 24.9340 -DEAL::approx. third derivative: 3.73027 0.994859 1.87186e-09 0.994859 5.13335 -2.85578e-10 1.87186e-09 -2.85578e-10 4.30708e-15 0.994859 5.13335 -2.85578e-10 5.13335 1.52014 -1.29009e-09 -2.85578e-10 -1.29009e-09 -2.29335e-11 1.87186e-09 -2.85578e-10 4.30708e-15 -2.85578e-10 -1.29009e-09 -2.29335e-11 4.30708e-15 -2.29335e-11 0.00000 , norm: 9.91205 +DEAL::approx. third derivative: 3.73027 0.994859 2.86029e-09 0.994859 5.13335 7.69363e-10 2.86029e-09 7.69363e-10 4.73695e-15 0.994859 5.13335 7.69363e-10 5.13335 1.52014 4.58687e-09 7.69363e-10 4.58687e-09 0.00000 2.86029e-09 7.69363e-10 4.73695e-15 7.69363e-10 4.58687e-09 0.00000 4.73695e-15 0.00000 0.00000 , norm: 9.91205 DEAL:: exact third derivative: 4.52656 1.32403 0.00000 1.32403 7.07275 0.00000 0.00000 0.00000 0.00000 1.32403 7.07275 0.00000 7.07275 2.06879 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 13.4201 DEAL:: DEAL::cell 2.22 @@ -697,31 +697,31 @@ DEAL::approx. gradient: -0.685975 1.28263 0.00000 , norm: 1.45455 DEAL:: exact gradient: -1.16200 2.26198 0.00000 , norm: 2.54299 DEAL::approx. second derivative (hessian): 4.09752 9.07897 0.00000 9.07897 8.61921 0.00000 0.00000 0.00000 0.00000 , norm: 15.7146 DEAL:: exact second derivative (hessian): 2.53922 16.5621 0.00000 16.5621 3.96754 0.00000 0.00000 0.00000 0.00000 , norm: 19.8309 -DEAL::approx. third derivative: 10.7488 -43.1484 -1.61735e-09 -43.1484 45.8745 -1.73797e-09 -1.61735e-09 -1.73797e-09 -2.96059e-15 -43.1484 45.8745 -1.73797e-09 45.8745 -31.0355 -2.94922e-09 -1.73797e-09 -2.94922e-09 2.07242e-15 -1.61735e-09 -1.73797e-09 -2.96059e-15 -1.73797e-09 -2.94922e-09 2.07242e-15 -2.96059e-15 2.07242e-15 0.00000 , norm: 113.919 +DEAL::approx. third derivative: 10.7488 -43.1484 -1.57746e-09 -43.1484 45.8745 -2.01924e-09 -1.57746e-09 -2.01924e-09 -2.36848e-15 -43.1484 45.8745 -2.01924e-09 45.8745 -31.0355 -3.03740e-09 -2.01924e-09 -3.03740e-09 2.36848e-15 -1.57746e-09 -2.01924e-09 -2.36848e-15 -2.01924e-09 -3.03740e-09 2.36848e-15 -2.36848e-15 2.36848e-15 0.00000 , norm: 113.919 DEAL:: exact third derivative: 18.5921 -36.1917 0.00000 -36.1917 29.0501 0.00000 0.00000 0.00000 0.00000 -36.1917 29.0501 0.00000 29.0501 -56.5496 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 100.024 DEAL:: DEAL::cell 2.23 DEAL::approx. gradient: -0.0788147 2.66865 0.00000 , norm: 2.66981 DEAL:: exact gradient: -0.0936630 4.70629 0.00000 , norm: 4.70722 -DEAL::approx. second derivative (hessian): 4.26266 0.888734 6.93889e-17 0.888734 17.9332 0.00000 6.93889e-17 0.00000 0.00000 , norm: 17.9907 +DEAL::approx. second derivative (hessian): 4.26266 0.888734 0.00000 0.888734 17.9332 0.00000 0.00000 0.00000 0.00000 , norm: 17.9907 DEAL:: exact second derivative (hessian): 5.28312 1.33498 0.00000 1.33498 8.25488 0.00000 0.00000 0.00000 0.00000 , norm: 8.76650 -DEAL::approx. third derivative: 1.23498 -51.8568 3.90311e-10 -51.8568 3.88741 -1.28045e-09 3.90311e-10 -1.28045e-09 -5.92119e-16 -51.8568 3.88741 -1.28045e-09 3.88741 -64.5726 -5.62830e-09 -1.28045e-09 -5.62830e-09 8.88178e-15 3.90311e-10 -1.28045e-09 -5.92119e-16 -1.28045e-09 -5.62830e-09 8.88178e-15 -5.92119e-16 8.88178e-15 0.00000 , norm: 110.833 +DEAL::approx. third derivative: 1.23498 -51.8568 7.12995e-10 -51.8568 3.88741 -1.61228e-09 7.12995e-10 -1.61228e-09 0.00000 -51.8568 3.88741 -1.61228e-09 3.88741 -64.5726 -5.81178e-09 -1.61228e-09 -5.81178e-09 9.47390e-15 7.12995e-10 -1.61228e-09 0.00000 -1.61228e-09 -5.81178e-09 9.47390e-15 0.00000 9.47390e-15 0.00000 , norm: 110.833 DEAL:: exact third derivative: 1.49861 -75.3007 0.00000 -75.3007 2.34157 0.00000 0.00000 0.00000 0.00000 -75.3007 2.34157 0.00000 2.34157 -117.657 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 175.706 DEAL:: DEAL::cell 2.24 DEAL::approx. gradient: 2.69619 -0.0376929 0.00000 , norm: 2.69645 DEAL:: exact gradient: 3.20413 -0.0496489 0.00000 , norm: 3.20452 -DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 1.80411e-16 0.00000 1.80411e-16 0.00000 , norm: 10.6461 +DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 0.00000 0.00000 0.00000 0.00000 , norm: 10.6461 DEAL:: exact second derivative (hessian): 9.57424 0.265850 0.00000 0.265850 14.9597 0.00000 0.00000 0.00000 0.00000 , norm: 14.9728 -DEAL::approx. third derivative: -42.2477 0.596891 -1.60837e-10 0.596891 -58.1384 -4.81684e-10 -1.60837e-10 -4.81684e-10 -2.75187e-11 0.596891 -58.1384 -4.81684e-10 -58.1384 0.912043 -1.53437e-09 -4.81684e-10 -1.53437e-09 -5.50434e-11 -1.60837e-10 -4.81684e-10 -2.75187e-11 -4.81684e-10 -1.53437e-09 -5.50434e-11 -2.75187e-11 -5.50434e-11 0.00000 , norm: 109.211 +DEAL::approx. third derivative: -42.2477 0.596891 1.41390e-09 0.596891 -58.1384 2.23319e-10 1.41390e-09 2.23319e-10 4.73695e-15 0.596891 -58.1384 2.23319e-10 -58.1384 0.912043 2.78293e-09 2.23319e-10 2.78293e-09 1.18424e-15 1.41390e-09 2.23319e-10 4.73695e-15 2.23319e-10 2.78293e-09 1.18424e-15 4.73695e-15 1.18424e-15 0.00000 , norm: 109.211 DEAL:: exact third derivative: -51.2661 0.794383 0.00000 0.794383 -80.1033 0.00000 0.00000 0.00000 0.00000 0.794383 -80.1033 0.00000 -80.1033 1.24122 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 147.923 DEAL:: DEAL::cell 2.25 DEAL::approx. gradient: 3.79650 0.0220930 0.00000 , norm: 3.79656 DEAL:: exact gradient: 3.74531 0.0291008 0.00000 , norm: 3.74542 -DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 1.52656e-16 0.00000 1.52656e-16 0.00000 , norm: 6.24000 +DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 0.00000 0.00000 0.00000 0.00000 , norm: 6.24000 DEAL:: exact second derivative (hessian): -5.61176 0.310752 0.00000 0.310752 -8.76837 0.00000 0.00000 0.00000 0.00000 , norm: 8.79867 -DEAL::approx. third derivative: -59.4890 0.00791324 -2.82739e-09 0.00791324 -73.1597 -6.47491e-10 -2.82739e-09 -6.47491e-10 -1.18424e-14 0.00791324 -73.1597 -6.47491e-10 -73.1597 -0.534577 2.20454e-10 -6.47491e-10 2.20454e-10 -5.92119e-16 -2.82739e-09 -6.47491e-10 -1.18424e-14 -6.47491e-10 2.20454e-10 -5.92119e-16 -1.18424e-14 -5.92119e-16 0.00000 , norm: 139.987 +DEAL::approx. third derivative: -59.4890 0.00791324 -9.86381e-11 0.00791324 -73.1597 2.64632e-10 -9.86381e-11 2.64632e-10 -9.47390e-15 0.00791324 -73.1597 2.64632e-10 -73.1597 -0.534577 -1.61437e-09 2.64632e-10 -1.61437e-09 5.92119e-16 -9.86381e-11 2.64632e-10 -9.47390e-15 2.64632e-10 -1.61437e-09 5.92119e-16 -9.47390e-15 5.92119e-16 0.00000 , norm: 139.987 DEAL:: exact third derivative: -59.9250 -0.465613 0.00000 -0.465613 -93.6328 0.00000 0.00000 0.00000 0.00000 -0.465613 -93.6328 0.00000 -93.6328 -0.727520 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 172.897 DEAL:: DEAL::cell 2.26 @@ -729,7 +729,7 @@ DEAL::approx. gradient: 0.892626 1.60112 0.00000 , norm: 1.83313 DEAL:: exact gradient: 1.06079 2.82366 0.00000 , norm: 3.01634 DEAL::approx. second derivative (hessian): 2.55749 -10.0655 0.00000 -10.0655 10.7594 0.00000 0.00000 0.00000 0.00000 , norm: 17.5273 DEAL:: exact second derivative (hessian): 3.16974 -15.1195 0.00000 -15.1195 4.95272 0.00000 0.00000 0.00000 0.00000 , norm: 19.2070 -DEAL::approx. third derivative: -13.9869 -31.1128 2.59652e-09 -31.1128 -44.0274 6.20826e-11 2.59652e-09 6.20826e-11 1.03621e-15 -31.1128 -44.0274 6.20826e-11 -44.0274 -38.7419 -4.69043e-09 6.20826e-11 -4.69043e-09 -4.73695e-15 2.59652e-09 6.20826e-11 1.03621e-15 6.20826e-11 -4.69043e-09 -4.73695e-15 1.03621e-15 -4.73695e-15 0.00000 , norm: 102.058 +DEAL::approx. third derivative: -13.9869 -31.1128 3.11787e-09 -31.1128 -44.0274 2.17671e-10 3.11787e-09 2.17671e-10 0.00000 -31.1128 -44.0274 2.17671e-10 -44.0274 -38.7419 -4.80050e-09 2.17671e-10 -4.80050e-09 -7.10543e-15 3.11787e-09 2.17671e-10 0.00000 2.17671e-10 -4.80050e-09 -7.10543e-15 0.00000 -7.10543e-15 0.00000 , norm: 102.058 DEAL:: exact third derivative: -16.9727 -45.1785 0.00000 -45.1785 -26.5198 0.00000 0.00000 0.00000 0.00000 -45.1785 -26.5198 0.00000 -26.5198 -70.5914 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 116.209 DEAL:: DEAL::cell 2.27 @@ -737,23 +737,23 @@ DEAL::approx. gradient: 1.25691 -0.938469 0.00000 , norm: 1.56861 DEAL:: exact gradient: 1.23996 -1.65503 0.00000 , norm: 2.06800 DEAL::approx. second derivative (hessian): 0.687181 -13.1900 0.00000 -13.1900 -6.30645 0.00000 0.00000 0.00000 0.00000 , norm: 16.4553 DEAL:: exact second derivative (hessian): -1.85788 -17.6732 0.00000 -17.6732 -2.90295 0.00000 0.00000 0.00000 0.00000 , norm: 20.0614 -DEAL::approx. third derivative: -19.6950 -1.21098 2.79508e-09 -1.21098 -53.1857 3.36170e-09 2.79508e-09 3.36170e-09 0.00000 -1.21098 -53.1857 3.36170e-09 -53.1857 22.7079 2.03595e-09 3.36170e-09 2.03595e-09 -1.18424e-15 2.79508e-09 3.36170e-09 0.00000 3.36170e-09 2.03595e-09 -1.18424e-15 0.00000 -1.18424e-15 0.00000 , norm: 96.9232 +DEAL::approx. third derivative: -19.6950 -1.21098 3.69848e-09 -1.21098 -53.1857 3.67090e-09 3.69848e-09 3.67090e-09 -2.36848e-15 -1.21098 -53.1857 3.67090e-09 -53.1857 22.7079 2.10047e-09 3.67090e-09 2.10047e-09 0.00000 3.69848e-09 3.67090e-09 -2.36848e-15 3.67090e-09 2.10047e-09 0.00000 -2.36848e-15 0.00000 0.00000 , norm: 96.9232 DEAL:: exact third derivative: -19.8394 26.4805 0.00000 26.4805 -30.9990 0.00000 0.00000 0.00000 0.00000 26.4805 -30.9990 0.00000 -30.9990 41.3759 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 84.2142 DEAL:: DEAL::cell 2.28 DEAL::approx. gradient: 2.69619 -0.0376929 0.00000 , norm: 2.69645 DEAL:: exact gradient: 3.20413 -0.0496489 0.00000 , norm: 3.20452 -DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 -2.42861e-16 0.00000 -2.42861e-16 0.00000 , norm: 10.6461 +DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 0.00000 0.00000 0.00000 0.00000 , norm: 10.6461 DEAL:: exact second derivative (hessian): 9.57424 0.265850 0.00000 0.265850 14.9597 0.00000 0.00000 0.00000 0.00000 , norm: 14.9728 -DEAL::approx. third derivative: -42.2477 0.596891 -1.60837e-10 0.596891 -58.1384 -4.88568e-10 -1.60837e-10 -4.88568e-10 4.46201e-15 0.596891 -58.1384 -4.88568e-10 -58.1384 0.912043 -3.47465e-10 -4.88568e-10 -3.47465e-10 -1.37596e-11 -1.60837e-10 -4.88568e-10 4.46201e-15 -4.88568e-10 -3.47465e-10 -1.37596e-11 4.46201e-15 -1.37596e-11 0.00000 , norm: 109.211 +DEAL::approx. third derivative: -42.2477 0.596891 1.44490e-09 0.596891 -58.1384 1.04125e-09 1.44490e-09 1.04125e-09 4.73695e-15 0.596891 -58.1384 1.04125e-09 -58.1384 0.912043 5.93068e-09 1.04125e-09 5.93068e-09 1.18424e-15 1.44490e-09 1.04125e-09 4.73695e-15 1.04125e-09 5.93068e-09 1.18424e-15 4.73695e-15 1.18424e-15 0.00000 , norm: 109.211 DEAL:: exact third derivative: -51.2661 0.794383 0.00000 0.794383 -80.1033 0.00000 0.00000 0.00000 0.00000 0.794383 -80.1033 0.00000 -80.1033 1.24122 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 147.923 DEAL:: DEAL::cell 2.29 DEAL::approx. gradient: 3.79650 0.0220930 0.00000 , norm: 3.79656 DEAL:: exact gradient: 3.74531 0.0291008 0.00000 , norm: 3.74542 -DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 7.63278e-17 0.00000 7.63278e-17 0.00000 , norm: 6.24000 +DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 0.00000 0.00000 0.00000 0.00000 , norm: 6.24000 DEAL:: exact second derivative (hessian): -5.61176 0.310752 0.00000 0.310752 -8.76837 0.00000 0.00000 0.00000 0.00000 , norm: 8.79867 -DEAL::approx. third derivative: -59.4890 0.00791324 -2.79986e-09 0.00791324 -73.1597 -6.73910e-10 -2.79986e-09 -6.73910e-10 -9.47390e-15 0.00791324 -73.1597 -6.73910e-10 -73.1597 -0.534577 6.84245e-10 -6.73910e-10 6.84245e-10 -5.92119e-16 -2.79986e-09 -6.73910e-10 -9.47390e-15 -6.73910e-10 6.84245e-10 -5.92119e-16 -9.47390e-15 -5.92119e-16 0.00000 , norm: 139.987 +DEAL::approx. third derivative: -59.4890 0.00791324 -9.86405e-11 0.00791324 -73.1597 2.64632e-10 -9.86405e-11 2.64632e-10 -9.47390e-15 0.00791324 -73.1597 2.64632e-10 -73.1597 -0.534577 -1.61437e-09 2.64632e-10 -1.61437e-09 5.92119e-16 -9.86405e-11 2.64632e-10 -9.47390e-15 2.64632e-10 -1.61437e-09 5.92119e-16 -9.47390e-15 5.92119e-16 0.00000 , norm: 139.987 DEAL:: exact third derivative: -59.9250 -0.465613 0.00000 -0.465613 -93.6328 0.00000 0.00000 0.00000 0.00000 -0.465613 -93.6328 0.00000 -93.6328 -0.727520 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 172.897 DEAL:: DEAL::cell 2.30 @@ -761,7 +761,7 @@ DEAL::approx. gradient: 0.892626 1.60112 0.00000 , norm: 1.83313 DEAL:: exact gradient: 1.06079 2.82366 0.00000 , norm: 3.01634 DEAL::approx. second derivative (hessian): 2.55749 -10.0655 0.00000 -10.0655 10.7594 0.00000 0.00000 0.00000 0.00000 , norm: 17.5273 DEAL:: exact second derivative (hessian): 3.16974 -15.1195 0.00000 -15.1195 4.95272 0.00000 0.00000 0.00000 0.00000 , norm: 19.2070 -DEAL::approx. third derivative: -13.9869 -31.1128 2.59652e-09 -31.1128 -44.0274 4.67144e-10 2.59652e-09 4.67144e-10 7.40149e-17 -31.1128 -44.0274 4.67144e-10 -44.0274 -38.7419 -4.63538e-09 4.67144e-10 -4.63538e-09 -6.80937e-15 2.59652e-09 4.67144e-10 7.40149e-17 4.67144e-10 -4.63538e-09 -6.80937e-15 7.40149e-17 -6.80937e-15 0.00000 , norm: 102.058 +DEAL::approx. third derivative: -13.9869 -31.1128 3.11787e-09 -31.1128 -44.0274 2.17673e-10 3.11787e-09 2.17673e-10 0.00000 -31.1128 -44.0274 2.17673e-10 -44.0274 -38.7419 -4.80050e-09 2.17673e-10 -4.80050e-09 -7.10543e-15 3.11787e-09 2.17673e-10 0.00000 2.17673e-10 -4.80050e-09 -7.10543e-15 0.00000 -7.10543e-15 0.00000 , norm: 102.058 DEAL:: exact third derivative: -16.9727 -45.1785 0.00000 -45.1785 -26.5198 0.00000 0.00000 0.00000 0.00000 -45.1785 -26.5198 0.00000 -26.5198 -70.5914 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 116.209 DEAL:: DEAL::cell 2.31 @@ -769,23 +769,23 @@ DEAL::approx. gradient: 1.25691 -0.938469 0.00000 , norm: 1.56861 DEAL:: exact gradient: 1.23996 -1.65503 0.00000 , norm: 2.06800 DEAL::approx. second derivative (hessian): 0.687181 -13.1900 0.00000 -13.1900 -6.30645 0.00000 0.00000 0.00000 0.00000 , norm: 16.4553 DEAL:: exact second derivative (hessian): -1.85788 -17.6732 0.00000 -17.6732 -2.90295 0.00000 0.00000 0.00000 0.00000 , norm: 20.0614 -DEAL::approx. third derivative: -19.6950 -1.21098 2.79508e-09 -1.21098 -53.1857 3.13234e-09 2.79508e-09 3.13234e-09 -2.36848e-15 -1.21098 -53.1857 3.13234e-09 -53.1857 22.7079 2.03595e-09 3.13234e-09 2.03595e-09 -2.96059e-16 2.79508e-09 3.13234e-09 -2.36848e-15 3.13234e-09 2.03595e-09 -2.96059e-16 -2.36848e-15 -2.96059e-16 0.00000 , norm: 96.9232 +DEAL::approx. third derivative: -19.6950 -1.21098 3.69848e-09 -1.21098 -53.1857 3.67090e-09 3.69848e-09 3.67090e-09 -2.36848e-15 -1.21098 -53.1857 3.67090e-09 -53.1857 22.7079 2.10047e-09 3.67090e-09 2.10047e-09 0.00000 3.69848e-09 3.67090e-09 -2.36848e-15 3.67090e-09 2.10047e-09 0.00000 -2.36848e-15 0.00000 0.00000 , norm: 96.9232 DEAL:: exact third derivative: -19.8394 26.4805 0.00000 26.4805 -30.9990 0.00000 0.00000 0.00000 0.00000 26.4805 -30.9990 0.00000 -30.9990 41.3759 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 84.2142 DEAL:: DEAL::cell 2.32 DEAL::approx. gradient: 1.68054 -2.12960 0.00000 , norm: 2.71283 DEAL:: exact gradient: 2.84675 -1.40255 0.00000 , norm: 3.17350 -DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 0.00000 0.00000 0.00000 0.00000 , norm: 17.5230 +DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 2.22045e-16 0.00000 2.22045e-16 0.00000 , norm: 17.5230 DEAL:: exact second derivative (hessian): -6.22074 -10.2694 0.00000 -10.2694 -9.71991 0.00000 0.00000 0.00000 0.00000 , norm: 18.3877 -DEAL::approx. third derivative: -26.3331 33.7236 -9.11734e-10 33.7236 -29.0569 -3.88276e-10 -9.11734e-10 -3.88276e-10 4.35004e-15 33.7236 -29.0569 -3.88276e-10 -29.0569 51.5294 5.42803e-10 -3.88276e-10 5.42803e-10 -4.67496e-15 -9.11734e-10 -3.88276e-10 4.35004e-15 -3.88276e-10 5.42803e-10 -4.67496e-15 4.35004e-15 -4.67496e-15 0.00000 , norm: 96.4027 +DEAL::approx. third derivative: -26.3331 33.7236 -1.00944e-09 33.7236 -29.0569 -1.02148e-09 -1.00944e-09 -1.02148e-09 4.35004e-15 33.7236 -29.0569 -1.02148e-09 -29.0569 51.5294 -9.10762e-11 -1.02148e-09 -9.10762e-11 -3.46920e-15 -1.00944e-09 -1.02148e-09 4.35004e-15 -1.02148e-09 -9.10762e-11 -3.46920e-15 4.35004e-15 -3.46920e-15 0.00000 , norm: 96.4027 DEAL:: exact third derivative: -45.5480 22.4408 0.00000 22.4408 -71.1687 0.00000 0.00000 0.00000 0.00000 22.4408 -71.1687 0.00000 -71.1687 35.0638 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 141.456 DEAL:: DEAL::cell 2.33 DEAL::approx. gradient: 0.193085 -4.43086 0.00000 , norm: 4.43506 DEAL:: exact gradient: 0.229461 -2.91816 0.00000 , norm: 2.92717 -DEAL::approx. second derivative (hessian): -10.4429 -0.928602 3.05311e-16 -0.928602 -6.89131 0.00000 3.05311e-16 0.00000 0.00000 , norm: 10.6711 +DEAL::approx. second derivative (hessian): -10.4429 -0.928602 2.22045e-16 -0.928602 -6.89131 4.44089e-16 2.22045e-16 4.44089e-16 0.00000 , norm: 10.6711 DEAL:: exact second derivative (hessian): -12.9429 -0.827763 0.00000 -0.827763 -20.2233 0.00000 0.00000 0.00000 0.00000 , norm: 20.3162 -DEAL::approx. third derivative: -3.02553 46.6543 -1.51620e-09 46.6543 -2.80690 -6.50111e-10 -1.51620e-09 -6.50111e-10 -8.56211e-16 46.6543 -2.80690 -6.50111e-10 -2.80690 107.212 -4.88358e-09 -6.50111e-10 -4.88358e-09 -1.16895e-14 -1.51620e-09 -6.50111e-10 -8.56211e-16 -6.50111e-10 -4.88358e-09 -1.16895e-14 -8.56211e-16 -1.16895e-14 1.11744e-15 , norm: 134.377 +DEAL::approx. third derivative: -3.02553 46.6543 -2.30673e-09 46.6543 -2.80690 -1.22944e-09 -2.30673e-09 -1.22944e-09 -4.44540e-17 46.6543 -2.80690 -1.22944e-09 -2.80690 107.212 -2.67601e-10 -1.22944e-09 -2.67601e-10 -6.83620e-15 -2.30673e-09 -1.22944e-09 -4.44540e-17 -1.22944e-09 -2.67601e-10 -6.83620e-15 -4.44540e-17 -6.83620e-15 0.00000 , norm: 134.377 DEAL:: exact third derivative: -3.67138 46.6905 0.00000 46.6905 -5.73653 0.00000 0.00000 0.00000 0.00000 46.6905 -5.73653 0.00000 -5.73653 72.9539 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 109.428 DEAL:: DEAL::cell 2.34 @@ -793,15 +793,15 @@ DEAL::approx. gradient: -0.620717 -1.73631 0.00000 , norm: 1.84393 DEAL:: exact gradient: -1.05146 -2.28707 0.00000 , norm: 2.51719 DEAL::approx. second derivative (hessian): 3.70772 -10.7223 0.00000 -10.7223 2.55155 0.00000 0.00000 0.00000 0.00000 , norm: 13.8675 DEAL:: exact second derivative (hessian): 2.29766 -16.7458 0.00000 -16.7458 3.59010 0.00000 0.00000 0.00000 0.00000 , norm: 19.7021 -DEAL::approx. third derivative: 9.72628 45.9222 3.75565e-10 45.9222 16.9488 -2.92114e-09 3.75565e-10 -2.92114e-09 0.00000 45.9222 16.9488 -2.92114e-09 16.9488 42.0131 4.97817e-10 -2.92114e-09 4.97817e-10 -1.59733e-15 3.75565e-10 -2.92114e-09 0.00000 -2.92114e-09 4.97817e-10 -1.59733e-15 0.00000 -1.59733e-15 0.00000 , norm: 95.1212 +DEAL::approx. third derivative: 9.72628 45.9222 4.11657e-10 45.9222 16.9488 -8.82230e-10 4.11657e-10 -8.82230e-10 0.00000 45.9222 16.9488 -8.82230e-10 16.9488 42.0131 3.19990e-10 -8.82230e-10 3.19990e-10 -2.36848e-15 4.11657e-10 -8.82230e-10 0.00000 -8.82230e-10 3.19990e-10 -2.36848e-15 0.00000 -2.36848e-15 0.00000 , norm: 95.1212 DEAL:: exact third derivative: 16.8234 36.5930 0.00000 36.5930 26.2865 0.00000 0.00000 0.00000 0.00000 36.5930 26.2865 0.00000 26.2865 57.1766 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 98.1952 DEAL:: DEAL::cell 2.35 DEAL::approx. gradient: -0.0713169 -3.61258 0.00000 , norm: 3.61328 DEAL:: exact gradient: -0.0847526 -4.75848 0.00000 , norm: 4.75923 -DEAL::approx. second derivative (hessian): 3.85715 -1.02293 -6.66134e-16 -1.02293 5.30876 0.00000 -6.66134e-16 0.00000 -1.33227e-15 , norm: 5.83722 +DEAL::approx. second derivative (hessian): 3.85715 -1.02293 0.00000 -1.02293 5.30876 0.00000 0.00000 0.00000 0.00000 , norm: 5.83722 DEAL:: exact second derivative (hessian): 4.78053 -1.34979 0.00000 -1.34979 7.46958 0.00000 0.00000 0.00000 0.00000 , norm: 8.03022 -DEAL::approx. third derivative: 1.11750 57.2075 1.75138e-09 57.2075 1.53782 -2.86773e-10 1.75138e-09 -2.86773e-10 -3.29704e-10 57.2075 1.53782 -2.86773e-10 1.53782 87.4126 -2.81241e-10 -2.86773e-10 -2.81241e-10 6.59417e-10 1.75138e-09 -2.86773e-10 -3.29704e-10 -2.86773e-10 -2.81241e-10 6.59417e-10 -3.29704e-10 6.59417e-10 1.42722e-15 , norm: 132.164 +DEAL::approx. third derivative: 1.11750 57.2075 8.56452e-10 57.2075 1.53782 1.81415e-10 8.56452e-10 1.81415e-10 8.28967e-15 57.2075 1.53782 1.81415e-10 1.53782 87.4126 1.15707e-09 1.81415e-10 1.15707e-09 -9.47390e-15 8.56452e-10 1.81415e-10 8.28967e-15 1.81415e-10 1.15707e-09 -9.47390e-15 8.28967e-15 -9.47390e-15 0.00000 , norm: 132.164 DEAL:: exact third derivative: 1.35604 76.1357 0.00000 76.1357 2.11882 0.00000 0.00000 0.00000 0.00000 76.1357 2.11882 0.00000 2.11882 118.962 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 177.643 DEAL:: DEAL::cell 2.36 @@ -809,15 +809,15 @@ DEAL::approx. gradient: 1.68054 -2.12960 0.00000 , norm: 2.71283 DEAL:: exact gradient: 2.84675 -1.40255 0.00000 , norm: 3.17350 DEAL::approx. second derivative (hessian): -10.0384 -10.3133 0.00000 -10.3133 -3.31217 0.00000 0.00000 0.00000 0.00000 , norm: 17.5230 DEAL:: exact second derivative (hessian): -6.22074 -10.2694 0.00000 -10.2694 -9.71991 0.00000 0.00000 0.00000 0.00000 , norm: 18.3877 -DEAL::approx. third derivative: -26.3331 33.7236 -9.11763e-10 33.7236 -29.0569 -9.41418e-10 -9.11763e-10 -9.41418e-10 1.65793e-14 33.7236 -29.0569 -9.41418e-10 -29.0569 51.5294 1.03293e-10 -9.41418e-10 1.03293e-10 -1.94371e-10 -9.11763e-10 -9.41418e-10 1.65793e-14 -9.41418e-10 1.03293e-10 -1.94371e-10 1.65793e-14 -1.94371e-10 1.07415e-15 , norm: 96.4027 +DEAL::approx. third derivative: -26.3331 33.7236 -1.00947e-09 33.7236 -29.0569 -1.12651e-09 -1.00947e-09 -1.12651e-09 1.42109e-14 33.7236 -29.0569 -1.12651e-09 -29.0569 51.5294 -2.13645e-10 -1.12651e-09 -2.13645e-10 -4.73695e-15 -1.00947e-09 -1.12651e-09 1.42109e-14 -1.12651e-09 -2.13645e-10 -4.73695e-15 1.42109e-14 -4.73695e-15 0.00000 , norm: 96.4027 DEAL:: exact third derivative: -45.5480 22.4408 0.00000 22.4408 -71.1687 0.00000 0.00000 0.00000 0.00000 22.4408 -71.1687 0.00000 -71.1687 35.0638 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 141.456 DEAL:: DEAL::cell 2.37 DEAL::approx. gradient: 0.193085 -4.43086 0.00000 , norm: 4.43506 DEAL:: exact gradient: 0.229461 -2.91816 0.00000 , norm: 2.92717 -DEAL::approx. second derivative (hessian): -10.4429 -0.928602 1.66533e-16 -0.928602 -6.89131 0.00000 1.66533e-16 0.00000 0.00000 , norm: 10.6711 +DEAL::approx. second derivative (hessian): -10.4429 -0.928602 0.00000 -0.928602 -6.89131 0.00000 0.00000 0.00000 0.00000 , norm: 10.6711 DEAL:: exact second derivative (hessian): -12.9429 -0.827763 0.00000 -0.827763 -20.2233 0.00000 0.00000 0.00000 0.00000 , norm: 20.3162 -DEAL::approx. third derivative: -3.02553 46.6543 -1.51620e-09 46.6543 -2.80690 -1.59066e-09 -1.51620e-09 -1.59066e-09 -1.82028e-14 46.6543 -2.80690 -1.59066e-09 -2.80690 107.212 -6.28297e-10 -1.59066e-09 -6.28297e-10 -1.61759e-09 -1.51620e-09 -1.59066e-09 -1.82028e-14 -1.59066e-09 -6.28297e-10 -1.61759e-09 -1.82028e-14 -1.61759e-09 2.23489e-15 , norm: 134.377 +DEAL::approx. third derivative: -3.02553 46.6543 -2.30673e-09 46.6543 -2.80690 -1.27770e-09 -2.30673e-09 -1.27770e-09 -1.65793e-14 46.6543 -2.80690 -1.27770e-09 -2.80690 107.212 -1.28772e-09 -1.27770e-09 -1.28772e-09 -9.47390e-15 -2.30673e-09 -1.27770e-09 -1.65793e-14 -1.27770e-09 -1.28772e-09 -9.47390e-15 -1.65793e-14 -9.47390e-15 0.00000 , norm: 134.377 DEAL:: exact third derivative: -3.67138 46.6905 0.00000 46.6905 -5.73653 0.00000 0.00000 0.00000 0.00000 46.6905 -5.73653 0.00000 -5.73653 72.9539 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 109.428 DEAL:: DEAL::cell 2.38 @@ -825,39 +825,39 @@ DEAL::approx. gradient: -0.620717 -1.73631 0.00000 , norm: 1.84393 DEAL:: exact gradient: -1.05146 -2.28707 0.00000 , norm: 2.51719 DEAL::approx. second derivative (hessian): 3.70772 -10.7223 0.00000 -10.7223 2.55155 0.00000 0.00000 0.00000 0.00000 , norm: 13.8675 DEAL:: exact second derivative (hessian): 2.29766 -16.7458 0.00000 -16.7458 3.59010 0.00000 0.00000 0.00000 0.00000 , norm: 19.7021 -DEAL::approx. third derivative: 9.72628 45.9222 -1.91967e-09 45.9222 16.9488 -1.91923e-09 -1.91967e-09 -1.91923e-09 3.16941e-10 45.9222 16.9488 -1.91923e-09 16.9488 42.0131 5.95000e-10 -1.91923e-09 5.95000e-10 -6.33879e-10 -1.91967e-09 -1.91923e-09 3.16941e-10 -1.91923e-09 5.95000e-10 -6.33879e-10 3.16941e-10 -6.33879e-10 0.00000 , norm: 95.1212 +DEAL::approx. third derivative: 9.72628 45.9222 7.54122e-10 45.9222 16.9488 -1.27193e-09 7.54122e-10 -1.27193e-09 0.00000 45.9222 16.9488 -1.27193e-09 16.9488 42.0131 5.08843e-10 -1.27193e-09 5.08843e-10 -2.36848e-15 7.54122e-10 -1.27193e-09 0.00000 -1.27193e-09 5.08843e-10 -2.36848e-15 0.00000 -2.36848e-15 0.00000 , norm: 95.1212 DEAL:: exact third derivative: 16.8234 36.5930 0.00000 36.5930 26.2865 0.00000 0.00000 0.00000 0.00000 36.5930 26.2865 0.00000 26.2865 57.1766 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 98.1952 DEAL:: DEAL::cell 2.39 DEAL::approx. gradient: -0.0713169 -3.61258 0.00000 , norm: 3.61328 DEAL:: exact gradient: -0.0847526 -4.75848 0.00000 , norm: 4.75923 -DEAL::approx. second derivative (hessian): 3.85715 -1.02293 3.33067e-16 -1.02293 5.30876 0.00000 3.33067e-16 0.00000 0.00000 , norm: 5.83722 +DEAL::approx. second derivative (hessian): 3.85715 -1.02293 1.33227e-15 -1.02293 5.30876 0.00000 1.33227e-15 0.00000 0.00000 , norm: 5.83722 DEAL:: exact second derivative (hessian): 4.78053 -1.34979 0.00000 -1.34979 7.46958 0.00000 0.00000 0.00000 0.00000 , norm: 8.03022 -DEAL::approx. third derivative: 1.11750 57.2075 6.03836e-10 57.2075 1.53782 -4.25047e-10 6.03836e-10 -4.25047e-10 -1.97829e-09 57.2075 1.53782 -4.25047e-10 1.53782 87.4126 5.50481e-10 -4.25047e-10 5.50481e-10 2.63769e-09 6.03836e-10 -4.25047e-10 -1.97829e-09 -4.25047e-10 5.50481e-10 2.63769e-09 -1.97829e-09 2.63769e-09 0.00000 , norm: 132.164 +DEAL::approx. third derivative: 1.11750 57.2075 7.38425e-10 57.2075 1.53782 5.54814e-10 7.38425e-10 5.54814e-10 -1.65793e-14 57.2075 1.53782 5.54814e-10 1.53782 87.4126 3.71221e-10 5.54814e-10 3.71221e-10 -9.47390e-15 7.38425e-10 5.54814e-10 -1.65793e-14 5.54814e-10 3.71221e-10 -9.47390e-15 -1.65793e-14 -9.47390e-15 0.00000 , norm: 132.164 DEAL:: exact third derivative: 1.35604 76.1357 0.00000 76.1357 2.11882 0.00000 0.00000 0.00000 0.00000 76.1357 2.11882 0.00000 2.11882 118.962 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 177.643 DEAL:: DEAL::cell 2.40 DEAL::approx. gradient: -2.18681 -2.65841 0.00000 , norm: 3.44227 DEAL:: exact gradient: -2.59879 -1.75082 0.00000 , norm: 3.13354 -DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 -4.44089e-16 0.00000 -4.44089e-16 -4.44089e-16 , norm: 15.7709 +DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 -2.22045e-16 0.00000 -2.22045e-16 0.00000 , norm: 15.7709 DEAL:: exact second derivative (hessian): -7.76542 9.37494 0.00000 9.37494 -12.1335 0.00000 0.00000 0.00000 0.00000 , norm: 19.5754 -DEAL::approx. third derivative: 34.2660 27.9914 -1.87821e-11 27.9914 31.7900 2.44684e-09 -1.87821e-11 2.44684e-09 -6.23332e-15 27.9914 31.7900 2.44684e-09 31.7900 64.3247 1.01277e-09 2.44684e-09 1.01277e-09 -4.85255e-10 -1.87821e-11 2.44684e-09 -6.23332e-15 2.44684e-09 1.01277e-09 -4.85255e-10 -6.23332e-15 -4.85255e-10 6.70438e-16 , norm: 103.413 +DEAL::approx. third derivative: 34.2660 27.9914 -1.29601e-09 27.9914 31.7900 1.38390e-09 -1.29601e-09 1.38390e-09 -6.60196e-15 27.9914 31.7900 1.38390e-09 31.7900 64.3247 1.40840e-09 1.38390e-09 1.40840e-09 1.58255e-15 -1.29601e-09 1.38390e-09 -6.60196e-15 1.38390e-09 1.40840e-09 1.58255e-15 -6.60196e-15 1.58255e-15 0.00000 , norm: 103.413 DEAL:: exact third derivative: 41.5807 28.0132 0.00000 28.0132 64.9698 0.00000 0.00000 0.00000 0.00000 28.0132 64.9698 0.00000 64.9698 43.7706 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 136.610 DEAL:: DEAL::cell 2.41 DEAL::approx. gradient: -3.07924 1.55817 0.00000 , norm: 3.45104 DEAL:: exact gradient: -3.03773 1.02621 0.00000 , norm: 3.20638 -DEAL::approx. second derivative (hessian): -1.68350 13.1766 -4.44089e-16 13.1766 2.42343 0.00000 -4.44089e-16 0.00000 0.00000 , norm: 13.7056 +DEAL::approx. second derivative (hessian): -1.68350 13.1766 -4.44089e-16 13.1766 2.42343 -1.11022e-16 -4.44089e-16 -1.11022e-16 0.00000 , norm: 13.7056 DEAL:: exact second derivative (hessian): 4.55156 10.9584 0.00000 10.9584 7.11181 0.00000 0.00000 0.00000 0.00000 , norm: 16.8646 -DEAL::approx. third derivative: 48.2500 -4.34834 2.08310e-09 -4.34834 41.3783 1.40854e-09 2.08310e-09 1.40854e-09 -4.75302e-16 -4.34834 41.3783 1.40854e-09 41.3783 -37.7027 1.19664e-09 1.40854e-09 1.19664e-09 -1.29818e-15 2.08310e-09 1.40854e-09 -4.75302e-16 1.40854e-09 1.19664e-09 -1.29818e-15 -4.75302e-16 -1.29818e-15 0.00000 , norm: 94.5662 +DEAL::approx. third derivative: 48.2500 -4.34834 -1.30118e-10 -4.34834 41.3783 2.59623e-10 -1.30118e-10 2.59623e-10 7.08936e-16 -4.34834 41.3783 2.59623e-10 41.3783 -37.7027 2.69057e-10 2.59623e-10 2.69057e-10 -9.27584e-16 -1.30118e-10 2.59623e-10 7.08936e-16 2.59623e-10 2.69057e-10 -9.27584e-16 7.08936e-16 -9.27584e-16 0.00000 , norm: 94.5662 DEAL:: exact third derivative: 48.6036 -16.4194 0.00000 -16.4194 75.9432 0.00000 0.00000 0.00000 0.00000 -16.4194 75.9432 0.00000 75.9432 -25.6553 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 145.366 DEAL:: DEAL::cell 2.42 DEAL::approx. gradient: 0.807709 -2.16746 0.00000 , norm: 2.31306 DEAL:: exact gradient: 0.959877 -2.85497 0.00000 , norm: 3.01201 -DEAL::approx. second derivative (hessian): 2.31419 11.5854 4.44089e-16 11.5854 3.18513 -2.22045e-16 4.44089e-16 -2.22045e-16 -6.66134e-16 , norm: 14.3432 +DEAL::approx. second derivative (hessian): 2.31419 11.5854 0.00000 11.5854 3.18513 0.00000 0.00000 0.00000 0.00000 , norm: 14.3432 DEAL:: exact second derivative (hessian): 2.86820 15.2872 0.00000 15.2872 4.48156 0.00000 0.00000 0.00000 0.00000 , norm: 18.9833 -DEAL::approx. third derivative: -12.6563 34.3231 1.88348e-10 34.3231 -17.4168 2.67945e-09 1.88348e-10 2.67945e-09 1.97812e-10 34.3231 -17.4168 2.67945e-09 -17.4168 52.4454 2.09473e-09 2.67945e-09 2.09473e-09 7.91283e-10 1.88348e-10 2.67945e-09 1.97812e-10 2.67945e-09 2.09473e-09 7.91283e-10 1.97812e-10 7.91283e-10 1.45930e-16 , norm: 85.7611 +DEAL::approx. third derivative: -12.6563 34.3231 -2.24576e-09 34.3231 -17.4168 1.96139e-09 -2.24576e-09 1.96139e-09 -8.88178e-15 34.3231 -17.4168 1.96139e-09 -17.4168 52.4454 2.23669e-09 1.96139e-09 2.23669e-09 4.73695e-15 -2.24576e-09 1.96139e-09 -8.88178e-15 1.96139e-09 2.23669e-09 4.73695e-15 -8.88178e-15 4.73695e-15 0.00000 , norm: 85.7611 DEAL:: exact third derivative: -15.3580 45.6795 0.00000 45.6795 -23.9969 0.00000 0.00000 0.00000 0.00000 45.6795 -23.9969 0.00000 -23.9969 71.3742 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 115.402 DEAL:: DEAL::cell 2.43 @@ -865,15 +865,15 @@ DEAL::approx. gradient: 1.13734 1.27041 0.00000 , norm: 1.70513 DEAL:: exact gradient: 1.12200 1.67339 0.00000 , norm: 2.01472 DEAL::approx. second derivative (hessian): 0.621808 14.9824 0.00000 14.9824 -1.86690 0.00000 0.00000 0.00000 0.00000 , norm: 15.6565 DEAL:: exact second derivative (hessian): -1.68114 17.8692 0.00000 17.8692 -2.62678 0.00000 0.00000 0.00000 0.00000 , norm: 20.0294 -DEAL::approx. third derivative: -17.8214 -0.455036 -2.75050e-09 -0.455036 -21.9168 1.30331e-09 -2.75050e-09 1.30331e-09 -1.77636e-15 -0.455036 -21.9168 1.30331e-09 -21.9168 -30.7399 -1.99201e-10 1.30331e-09 -1.99201e-10 -7.23107e-16 -2.75050e-09 1.30331e-09 -1.77636e-15 1.30331e-09 -1.99201e-10 -7.23107e-16 -1.77636e-15 -7.23107e-16 0.00000 , norm: 52.0019 +DEAL::approx. third derivative: -17.8214 -0.455036 1.23208e-09 -0.455036 -21.9168 1.88659e-09 1.23208e-09 1.88659e-09 -1.18424e-15 -0.455036 -21.9168 1.88659e-09 -21.9168 -30.7399 -4.83623e-10 1.88659e-09 -4.83623e-10 0.00000 1.23208e-09 1.88659e-09 -1.18424e-15 1.88659e-09 -4.83623e-10 0.00000 -1.18424e-15 0.00000 0.00000 , norm: 52.0019 DEAL:: exact third derivative: -17.9520 -26.7742 0.00000 -26.7742 -28.0500 0.00000 0.00000 0.00000 0.00000 -26.7742 -28.0500 0.00000 -28.0500 -41.8347 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 81.1381 DEAL:: DEAL::cell 2.44 DEAL::approx. gradient: -2.18681 -2.65841 0.00000 , norm: 3.44227 DEAL:: exact gradient: -2.59879 -1.75082 0.00000 , norm: 3.13354 -DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 0.00000 0.00000 0.00000 -8.88178e-16 , norm: 15.7709 +DEAL::approx. second derivative (hessian): -6.26549 10.5170 0.00000 10.5170 -4.13461 0.00000 0.00000 0.00000 0.00000 , norm: 15.7709 DEAL:: exact second derivative (hessian): -7.76542 9.37494 0.00000 9.37494 -12.1335 0.00000 0.00000 0.00000 0.00000 , norm: 19.5754 -DEAL::approx. third derivative: 34.2660 27.9914 -1.87742e-11 27.9914 31.7900 1.89770e-09 -1.87742e-11 1.89770e-09 1.62546e-15 27.9914 31.7900 1.89770e-09 31.7900 64.3247 1.80405e-09 1.89770e-09 1.80405e-09 1.77636e-15 -1.87742e-11 1.89770e-09 1.62546e-15 1.89770e-09 1.80405e-09 1.77636e-15 1.62546e-15 1.77636e-15 1.34088e-15 , norm: 103.413 +DEAL::approx. third derivative: 34.2660 27.9914 -1.29600e-09 27.9914 31.7900 1.38390e-09 -1.29600e-09 1.38390e-09 2.96059e-15 27.9914 31.7900 1.38390e-09 31.7900 64.3247 1.40841e-09 1.38390e-09 1.40841e-09 0.00000 -1.29600e-09 1.38390e-09 2.96059e-15 1.38390e-09 1.40841e-09 0.00000 2.96059e-15 0.00000 0.00000 , norm: 103.413 DEAL:: exact third derivative: 41.5807 28.0132 0.00000 28.0132 64.9698 0.00000 0.00000 0.00000 0.00000 28.0132 64.9698 0.00000 64.9698 43.7706 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 136.610 DEAL:: DEAL::cell 2.45 @@ -881,15 +881,15 @@ DEAL::approx. gradient: -3.07924 1.55817 0.00000 , norm: 3.45104 DEAL:: exact gradient: -3.03773 1.02621 0.00000 , norm: 3.20638 DEAL::approx. second derivative (hessian): -1.68350 13.1766 0.00000 13.1766 2.42343 0.00000 0.00000 0.00000 0.00000 , norm: 13.7056 DEAL:: exact second derivative (hessian): 4.55156 10.9584 0.00000 10.9584 7.11181 0.00000 0.00000 0.00000 0.00000 , norm: 16.8646 -DEAL::approx. third derivative: 48.2500 -4.34834 2.08310e-09 -4.34834 41.3783 1.59560e-09 2.08310e-09 1.59560e-09 -2.36848e-15 -4.34834 41.3783 1.59560e-09 41.3783 -37.7027 1.26842e-10 1.59560e-09 1.26842e-10 1.42212e-10 2.08310e-09 1.59560e-09 -2.36848e-15 1.59560e-09 1.26842e-10 1.42212e-10 -2.36848e-15 1.42212e-10 -7.85930e-16 , norm: 94.5662 +DEAL::approx. third derivative: 48.2500 -4.34834 -1.30127e-10 -4.34834 41.3783 4.52044e-10 -1.30127e-10 4.52044e-10 -2.36848e-15 -4.34834 41.3783 4.52044e-10 41.3783 -37.7027 3.58740e-10 4.52044e-10 3.58740e-10 -1.18424e-15 -1.30127e-10 4.52044e-10 -2.36848e-15 4.52044e-10 3.58740e-10 -1.18424e-15 -2.36848e-15 -1.18424e-15 0.00000 , norm: 94.5662 DEAL:: exact third derivative: 48.6036 -16.4194 0.00000 -16.4194 75.9432 0.00000 0.00000 0.00000 0.00000 -16.4194 75.9432 0.00000 75.9432 -25.6553 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 145.366 DEAL:: DEAL::cell 2.46 DEAL::approx. gradient: 0.807709 -2.16746 0.00000 , norm: 2.31306 DEAL:: exact gradient: 0.959877 -2.85497 0.00000 , norm: 3.01201 -DEAL::approx. second derivative (hessian): 2.31419 11.5854 0.00000 11.5854 3.18513 0.00000 0.00000 0.00000 0.00000 , norm: 14.3432 +DEAL::approx. second derivative (hessian): 2.31419 11.5854 -1.33227e-15 11.5854 3.18513 0.00000 -1.33227e-15 0.00000 0.00000 , norm: 14.3432 DEAL:: exact second derivative (hessian): 2.86820 15.2872 0.00000 15.2872 4.48156 0.00000 0.00000 0.00000 0.00000 , norm: 18.9833 -DEAL::approx. third derivative: -12.6563 34.3231 1.29345e-09 34.3231 -17.4168 1.88704e-09 1.29345e-09 1.88704e-09 -1.97818e-09 34.3231 -17.4168 1.88704e-09 -17.4168 52.4454 2.10849e-09 1.88704e-09 2.10849e-09 7.91285e-10 1.29345e-09 1.88704e-09 -1.97818e-09 1.88704e-09 2.10849e-09 7.91285e-10 -1.97818e-09 7.91285e-10 0.00000 , norm: 85.7611 +DEAL::approx. third derivative: -12.6563 34.3231 -1.74341e-11 34.3231 -17.4168 1.81042e-09 -1.74341e-11 1.81042e-09 1.59872e-14 34.3231 -17.4168 1.81042e-09 -17.4168 52.4454 2.00094e-09 1.81042e-09 2.00094e-09 4.73695e-15 -1.74341e-11 1.81042e-09 1.59872e-14 1.81042e-09 2.00094e-09 4.73695e-15 1.59872e-14 4.73695e-15 0.00000 , norm: 85.7611 DEAL:: exact third derivative: -15.3580 45.6795 0.00000 45.6795 -23.9969 0.00000 0.00000 0.00000 0.00000 45.6795 -23.9969 0.00000 -23.9969 71.3742 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 115.402 DEAL:: DEAL::cell 2.47 @@ -897,7 +897,7 @@ DEAL::approx. gradient: 1.13734 1.27041 0.00000 , norm: 1.70513 DEAL:: exact gradient: 1.12200 1.67339 0.00000 , norm: 2.01472 DEAL::approx. second derivative (hessian): 0.621808 14.9824 0.00000 14.9824 -1.86690 0.00000 0.00000 0.00000 0.00000 , norm: 15.6565 DEAL:: exact second derivative (hessian): -1.68114 17.8692 0.00000 17.8692 -2.62678 0.00000 0.00000 0.00000 0.00000 , norm: 20.0294 -DEAL::approx. third derivative: -17.8214 -0.455036 -5.40421e-10 -0.455036 -21.9168 9.07669e-10 -5.40421e-10 9.07669e-10 2.31894e-10 -0.455036 -21.9168 9.07669e-10 -21.9168 -30.7399 -2.70307e-10 9.07669e-10 -2.70307e-10 -9.27584e-10 -5.40421e-10 9.07669e-10 2.31894e-10 9.07669e-10 -2.70307e-10 -9.27584e-10 2.31894e-10 -9.27584e-10 0.00000 , norm: 52.0019 +DEAL::approx. third derivative: -17.8214 -0.455036 1.85960e-09 -0.455036 -21.9168 5.96972e-10 1.85960e-09 5.96972e-10 -1.18424e-15 -0.455036 -21.9168 5.96972e-10 -21.9168 -30.7399 -2.07267e-10 5.96972e-10 -2.07267e-10 0.00000 1.85960e-09 5.96972e-10 -1.18424e-15 5.96972e-10 -2.07267e-10 0.00000 -1.18424e-15 0.00000 0.00000 , norm: 52.0019 DEAL:: exact third derivative: -17.9520 -26.7742 0.00000 -26.7742 -28.0500 0.00000 0.00000 0.00000 0.00000 -26.7742 -28.0500 0.00000 -28.0500 -41.8347 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 81.1381 DEAL:: DEAL::cell 2.48 @@ -905,15 +905,15 @@ DEAL::approx. gradient: -2.07199 -0.0301951 0.00000 , norm: 2.07221 DEAL:: exact gradient: -3.50985 -0.0397729 0.00000 , norm: 3.51007 DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 0.00000 0.00000 0.00000 0.00000 , norm: 12.3856 DEAL:: exact second derivative (hessian): 7.66975 -0.291215 0.00000 -0.291215 11.9840 0.00000 0.00000 0.00000 0.00000 , norm: 12.0036 -DEAL::approx. third derivative: 32.4669 0.798604 1.26552e-09 0.798604 56.5762 -7.76265e-10 1.26552e-09 -7.76265e-10 -9.47390e-15 0.798604 56.5762 -7.76265e-10 56.5762 0.730622 -1.24819e-09 -7.76265e-10 -1.24819e-09 1.18424e-15 1.26552e-09 -7.76265e-10 -9.47390e-15 -7.76265e-10 -1.24819e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 +DEAL::approx. third derivative: 32.4669 0.798604 1.38599e-09 0.798604 56.5762 -4.62318e-10 1.38599e-09 -4.62318e-10 -9.47390e-15 0.798604 56.5762 -4.62318e-10 56.5762 0.730622 2.21033e-09 -4.62318e-10 2.21033e-09 1.18424e-15 1.38599e-09 -4.62318e-10 -9.47390e-15 -4.62318e-10 2.21033e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 DEAL:: exact third derivative: 56.1576 0.636366 0.00000 0.636366 87.7462 0.00000 0.00000 0.00000 0.00000 0.636366 87.7462 0.00000 87.7462 0.994322 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 162.031 DEAL:: DEAL::cell 2.49 DEAL::approx. gradient: -0.238060 -0.0628240 0.00000 , norm: 0.246211 DEAL:: exact gradient: -0.282910 -0.0827516 0.00000 , norm: 0.294764 -DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 5.55112e-17 -0.0177892 17.7210 0.00000 5.55112e-17 0.00000 0.00000 , norm: 17.7211 +DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 0.00000 -0.0177892 17.7210 0.00000 0.00000 0.00000 0.00000 , norm: 17.7211 DEAL:: exact second derivative (hessian): 15.9577 -0.0234733 0.00000 -0.0234733 24.9339 0.00000 0.00000 0.00000 0.00000 , norm: 24.9340 -DEAL::approx. third derivative: 3.73027 0.994859 1.88562e-09 0.994859 5.13335 -6.08413e-10 1.88562e-09 -6.08413e-10 5.16682e-15 0.994859 5.13335 -6.08413e-10 5.13335 1.52014 -6.53608e-10 -6.08413e-10 -6.53608e-10 0.00000 1.88562e-09 -6.08413e-10 5.16682e-15 -6.08413e-10 -6.53608e-10 0.00000 5.16682e-15 0.00000 0.00000 , norm: 9.91205 +DEAL::approx. third derivative: 3.73027 0.994859 2.86029e-09 0.994859 5.13335 7.67986e-10 2.86029e-09 7.67986e-10 4.73695e-15 0.994859 5.13335 7.67986e-10 5.13335 1.52014 7.21011e-09 7.67986e-10 7.21011e-09 0.00000 2.86029e-09 7.67986e-10 4.73695e-15 7.67986e-10 7.21011e-09 0.00000 4.73695e-15 0.00000 0.00000 , norm: 9.91205 DEAL:: exact third derivative: 4.52656 1.32403 0.00000 1.32403 7.07275 0.00000 0.00000 0.00000 0.00000 1.32403 7.07275 0.00000 7.07275 2.06879 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 13.4201 DEAL:: DEAL::cell 2.50 @@ -921,7 +921,7 @@ DEAL::approx. gradient: -0.685975 1.28263 0.00000 , norm: 1.45455 DEAL:: exact gradient: -1.16200 2.26198 0.00000 , norm: 2.54299 DEAL::approx. second derivative (hessian): 4.09752 9.07897 0.00000 9.07897 8.61921 0.00000 0.00000 0.00000 0.00000 , norm: 15.7146 DEAL:: exact second derivative (hessian): 2.53922 16.5621 0.00000 16.5621 3.96754 0.00000 0.00000 0.00000 0.00000 , norm: 19.8309 -DEAL::approx. third derivative: 10.7488 -43.1484 -1.61735e-09 -43.1484 45.8745 -1.73797e-09 -1.61735e-09 -1.73797e-09 -2.36848e-15 -43.1484 45.8745 -1.73797e-09 45.8745 -31.0355 -2.94921e-09 -1.73797e-09 -2.94921e-09 2.66454e-15 -1.61735e-09 -1.73797e-09 -2.36848e-15 -1.73797e-09 -2.94921e-09 2.66454e-15 -2.36848e-15 2.66454e-15 0.00000 , norm: 113.919 +DEAL::approx. third derivative: 10.7488 -43.1484 -1.57746e-09 -43.1484 45.8745 -2.01924e-09 -1.57746e-09 -2.01924e-09 -2.36848e-15 -43.1484 45.8745 -2.01924e-09 45.8745 -31.0355 -3.03740e-09 -2.01924e-09 -3.03740e-09 2.36848e-15 -1.57746e-09 -2.01924e-09 -2.36848e-15 -2.01924e-09 -3.03740e-09 2.36848e-15 -2.36848e-15 2.36848e-15 0.00000 , norm: 113.919 DEAL:: exact third derivative: 18.5921 -36.1917 0.00000 -36.1917 29.0501 0.00000 0.00000 0.00000 0.00000 -36.1917 29.0501 0.00000 29.0501 -56.5496 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 100.024 DEAL:: DEAL::cell 2.51 @@ -929,7 +929,7 @@ DEAL::approx. gradient: -0.0788147 2.66865 0.00000 , norm: 2.66981 DEAL:: exact gradient: -0.0936630 4.70629 0.00000 , norm: 4.70722 DEAL::approx. second derivative (hessian): 4.26266 0.888734 0.00000 0.888734 17.9332 0.00000 0.00000 0.00000 0.00000 , norm: 17.9907 DEAL:: exact second derivative (hessian): 5.28312 1.33498 0.00000 1.33498 8.25488 0.00000 0.00000 0.00000 0.00000 , norm: 8.76650 -DEAL::approx. third derivative: 1.23498 -51.8568 3.90310e-10 -51.8568 3.88741 -1.28045e-09 3.90310e-10 -1.28045e-09 0.00000 -51.8568 3.88741 -1.28045e-09 3.88741 -64.5726 -5.58243e-09 -1.28045e-09 -5.58243e-09 8.88178e-15 3.90310e-10 -1.28045e-09 0.00000 -1.28045e-09 -5.58243e-09 8.88178e-15 0.00000 8.88178e-15 0.00000 , norm: 110.833 +DEAL::approx. third derivative: 1.23498 -51.8568 7.12995e-10 -51.8568 3.88741 -1.61228e-09 7.12995e-10 -1.61228e-09 0.00000 -51.8568 3.88741 -1.61228e-09 3.88741 -64.5726 -5.81178e-09 -1.61228e-09 -5.81178e-09 9.47390e-15 7.12995e-10 -1.61228e-09 0.00000 -1.61228e-09 -5.81178e-09 9.47390e-15 0.00000 9.47390e-15 0.00000 , norm: 110.833 DEAL:: exact third derivative: 1.49861 -75.3007 0.00000 -75.3007 2.34157 0.00000 0.00000 0.00000 0.00000 -75.3007 2.34157 0.00000 2.34157 -117.657 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 175.706 DEAL:: DEAL::cell 2.52 @@ -937,15 +937,15 @@ DEAL::approx. gradient: -2.07199 -0.0301951 0.00000 , norm: 2.07221 DEAL:: exact gradient: -3.50985 -0.0397729 0.00000 , norm: 3.51007 DEAL::approx. second derivative (hessian): 12.3766 -0.186464 0.00000 -0.186464 8.51723 0.00000 0.00000 0.00000 0.00000 , norm: 12.3856 DEAL:: exact second derivative (hessian): 7.66975 -0.291215 0.00000 -0.291215 11.9840 0.00000 0.00000 0.00000 0.00000 , norm: 12.0036 -DEAL::approx. third derivative: 32.4669 0.798604 1.26552e-09 0.798604 56.5762 -8.27054e-10 1.26552e-09 -8.27054e-10 -9.47390e-15 0.798604 56.5762 -8.27054e-10 56.5762 0.730622 -9.31254e-10 -8.27054e-10 -9.31254e-10 1.18424e-15 1.26552e-09 -8.27054e-10 -9.47390e-15 -8.27054e-10 -9.31254e-10 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 +DEAL::approx. third derivative: 32.4669 0.798604 1.38599e-09 0.798604 56.5762 -4.62318e-10 1.38599e-09 -4.62318e-10 -9.47390e-15 0.798604 56.5762 -4.62318e-10 56.5762 0.730622 2.21033e-09 -4.62318e-10 2.21033e-09 1.18424e-15 1.38599e-09 -4.62318e-10 -9.47390e-15 -4.62318e-10 2.21033e-09 1.18424e-15 -9.47390e-15 1.18424e-15 0.00000 , norm: 103.243 DEAL:: exact third derivative: 56.1576 0.636366 0.00000 0.636366 87.7462 0.00000 0.00000 0.00000 0.00000 0.636366 87.7462 0.00000 87.7462 0.994322 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 162.031 DEAL:: DEAL::cell 2.53 DEAL::approx. gradient: -0.238060 -0.0628240 0.00000 , norm: 0.246211 DEAL:: exact gradient: -0.282910 -0.0827516 0.00000 , norm: 0.294764 -DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 1.11022e-16 -0.0177892 17.7210 0.00000 1.11022e-16 0.00000 0.00000 , norm: 17.7211 +DEAL::approx. second derivative (hessian): 12.8754 -0.0177892 0.00000 -0.0177892 17.7210 0.00000 0.00000 0.00000 0.00000 , norm: 17.7211 DEAL:: exact second derivative (hessian): 15.9577 -0.0234733 0.00000 -0.0234733 24.9339 0.00000 0.00000 0.00000 0.00000 , norm: 24.9340 -DEAL::approx. third derivative: 3.73027 0.994859 1.88562e-09 0.994859 5.13335 -9.54923e-11 1.88562e-09 -9.54923e-11 5.59669e-15 0.994859 5.13335 -9.54923e-11 5.13335 1.52014 -1.94952e-09 -9.54923e-11 -1.94952e-09 4.58679e-11 1.88562e-09 -9.54923e-11 5.59669e-15 -9.54923e-11 -1.94952e-09 4.58679e-11 5.59669e-15 4.58679e-11 0.00000 , norm: 9.91205 +DEAL::approx. third derivative: 3.73027 0.994859 2.86029e-09 0.994859 5.13335 7.69357e-10 2.86029e-09 7.69357e-10 4.73695e-15 0.994859 5.13335 7.69357e-10 5.13335 1.52014 4.58688e-09 7.69357e-10 4.58688e-09 0.00000 2.86029e-09 7.69357e-10 4.73695e-15 7.69357e-10 4.58688e-09 0.00000 4.73695e-15 0.00000 0.00000 , norm: 9.91205 DEAL:: exact third derivative: 4.52656 1.32403 0.00000 1.32403 7.07275 0.00000 0.00000 0.00000 0.00000 1.32403 7.07275 0.00000 7.07275 2.06879 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 13.4201 DEAL:: DEAL::cell 2.54 @@ -953,7 +953,7 @@ DEAL::approx. gradient: -0.685975 1.28263 0.00000 , norm: 1.45455 DEAL:: exact gradient: -1.16200 2.26198 0.00000 , norm: 2.54299 DEAL::approx. second derivative (hessian): 4.09752 9.07897 0.00000 9.07897 8.61921 0.00000 0.00000 0.00000 0.00000 , norm: 15.7146 DEAL:: exact second derivative (hessian): 2.53922 16.5621 0.00000 16.5621 3.96754 0.00000 0.00000 0.00000 0.00000 , norm: 19.8309 -DEAL::approx. third derivative: 10.7488 -43.1484 -1.61735e-09 -43.1484 45.8745 -2.05143e-09 -1.61735e-09 -2.05143e-09 -2.36848e-15 -43.1484 45.8745 -2.05143e-09 45.8745 -31.0355 -2.94921e-09 -2.05143e-09 -2.94921e-09 2.36848e-15 -1.61735e-09 -2.05143e-09 -2.36848e-15 -2.05143e-09 -2.94921e-09 2.36848e-15 -2.36848e-15 2.36848e-15 0.00000 , norm: 113.919 +DEAL::approx. third derivative: 10.7488 -43.1484 -1.57746e-09 -43.1484 45.8745 -2.01924e-09 -1.57746e-09 -2.01924e-09 -2.36848e-15 -43.1484 45.8745 -2.01924e-09 45.8745 -31.0355 -3.03740e-09 -2.01924e-09 -3.03740e-09 2.36848e-15 -1.57746e-09 -2.01924e-09 -2.36848e-15 -2.01924e-09 -3.03740e-09 2.36848e-15 -2.36848e-15 2.36848e-15 0.00000 , norm: 113.919 DEAL:: exact third derivative: 18.5921 -36.1917 0.00000 -36.1917 29.0501 0.00000 0.00000 0.00000 0.00000 -36.1917 29.0501 0.00000 29.0501 -56.5496 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 100.024 DEAL:: DEAL::cell 2.55 @@ -961,7 +961,7 @@ DEAL::approx. gradient: -0.0788147 2.66865 0.00000 , norm: 2.66981 DEAL:: exact gradient: -0.0936630 4.70629 0.00000 , norm: 4.70722 DEAL::approx. second derivative (hessian): 4.26266 0.888734 0.00000 0.888734 17.9332 0.00000 0.00000 0.00000 0.00000 , norm: 17.9907 DEAL:: exact second derivative (hessian): 5.28312 1.33498 0.00000 1.33498 8.25488 0.00000 0.00000 0.00000 0.00000 , norm: 8.76650 -DEAL::approx. third derivative: 1.23498 -51.8568 3.90310e-10 -51.8568 3.88741 -1.93264e-09 3.90310e-10 -1.93264e-09 0.00000 -51.8568 3.88741 -1.93264e-09 3.88741 -64.5726 -5.62830e-09 -1.93264e-09 -5.62830e-09 8.28967e-15 3.90310e-10 -1.93264e-09 0.00000 -1.93264e-09 -5.62830e-09 8.28967e-15 0.00000 8.28967e-15 0.00000 , norm: 110.833 +DEAL::approx. third derivative: 1.23498 -51.8568 7.12995e-10 -51.8568 3.88741 -1.61228e-09 7.12995e-10 -1.61228e-09 0.00000 -51.8568 3.88741 -1.61228e-09 3.88741 -64.5726 -5.81178e-09 -1.61228e-09 -5.81178e-09 9.47390e-15 7.12995e-10 -1.61228e-09 0.00000 -1.61228e-09 -5.81178e-09 9.47390e-15 0.00000 9.47390e-15 0.00000 , norm: 110.833 DEAL:: exact third derivative: 1.49861 -75.3007 0.00000 -75.3007 2.34157 0.00000 0.00000 0.00000 0.00000 -75.3007 2.34157 0.00000 2.34157 -117.657 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 175.706 DEAL:: DEAL::cell 2.56 @@ -969,7 +969,7 @@ DEAL::approx. gradient: 2.69619 -0.0376929 0.00000 , norm: 2.69645 DEAL:: exact gradient: 3.20413 -0.0496489 0.00000 , norm: 3.20452 DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 0.00000 0.00000 0.00000 0.00000 , norm: 10.6461 DEAL:: exact second derivative (hessian): 9.57424 0.265850 0.00000 0.265850 14.9597 0.00000 0.00000 0.00000 0.00000 , norm: 14.9728 -DEAL::approx. third derivative: -42.2477 0.596891 -1.60833e-10 0.596891 -58.1384 -1.07056e-09 -1.60833e-10 -1.07056e-09 1.37664e-11 0.596891 -58.1384 -1.07056e-09 -58.1384 0.912043 -7.43109e-10 -1.07056e-09 -7.43109e-10 2.75229e-11 -1.60833e-10 -1.07056e-09 1.37664e-11 -1.07056e-09 -7.43109e-10 2.75229e-11 1.37664e-11 2.75229e-11 0.00000 , norm: 109.211 +DEAL::approx. third derivative: -42.2477 0.596891 1.41390e-09 0.596891 -58.1384 2.38822e-10 1.41390e-09 2.38822e-10 4.73695e-15 0.596891 -58.1384 2.38822e-10 -58.1384 0.912043 4.35681e-09 2.38822e-10 4.35681e-09 1.18424e-15 1.41390e-09 2.38822e-10 4.73695e-15 2.38822e-10 4.35681e-09 1.18424e-15 4.73695e-15 1.18424e-15 0.00000 , norm: 109.211 DEAL:: exact third derivative: -51.2661 0.794383 0.00000 0.794383 -80.1033 0.00000 0.00000 0.00000 0.00000 0.794383 -80.1033 0.00000 -80.1033 1.24122 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 147.923 DEAL:: DEAL::cell 2.57 @@ -977,7 +977,7 @@ DEAL::approx. gradient: 3.79650 0.0220930 0.00000 , norm: 3.79656 DEAL:: exact gradient: 3.74531 0.0291008 0.00000 , norm: 3.74542 DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 0.00000 0.00000 0.00000 0.00000 , norm: 6.24000 DEAL:: exact second derivative (hessian): -5.61176 0.310752 0.00000 0.310752 -8.76837 0.00000 0.00000 0.00000 0.00000 , norm: 8.79867 -DEAL::approx. third derivative: -59.4890 0.00791324 -2.82738e-09 0.00791324 -73.1597 -6.29698e-10 -2.82738e-09 -6.29698e-10 -9.47390e-15 0.00791324 -73.1597 -6.29698e-10 -73.1597 -0.534577 2.20454e-10 -6.29698e-10 2.20454e-10 0.00000 -2.82738e-09 -6.29698e-10 -9.47390e-15 -6.29698e-10 2.20454e-10 0.00000 -9.47390e-15 0.00000 0.00000 , norm: 139.987 +DEAL::approx. third derivative: -59.4890 0.00791324 -9.86358e-11 0.00791324 -73.1597 2.64631e-10 -9.86358e-11 2.64631e-10 -9.47390e-15 0.00791324 -73.1597 2.64631e-10 -73.1597 -0.534577 -1.61437e-09 2.64631e-10 -1.61437e-09 5.92119e-16 -9.86358e-11 2.64631e-10 -9.47390e-15 2.64631e-10 -1.61437e-09 5.92119e-16 -9.47390e-15 5.92119e-16 0.00000 , norm: 139.987 DEAL:: exact third derivative: -59.9250 -0.465613 0.00000 -0.465613 -93.6328 0.00000 0.00000 0.00000 0.00000 -0.465613 -93.6328 0.00000 -93.6328 -0.727520 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 172.897 DEAL:: DEAL::cell 2.58 @@ -985,7 +985,7 @@ DEAL::approx. gradient: 0.892626 1.60112 0.00000 , norm: 1.83313 DEAL:: exact gradient: 1.06079 2.82366 0.00000 , norm: 3.01634 DEAL::approx. second derivative (hessian): 2.55749 -10.0655 0.00000 -10.0655 10.7594 0.00000 0.00000 0.00000 0.00000 , norm: 17.5273 DEAL:: exact second derivative (hessian): 3.16974 -15.1195 0.00000 -15.1195 4.95272 0.00000 0.00000 0.00000 0.00000 , norm: 19.2070 -DEAL::approx. third derivative: -13.9869 -31.1128 2.59652e-09 -31.1128 -44.0274 4.53383e-10 2.59652e-09 4.53383e-10 -1.48030e-16 -31.1128 -44.0274 4.53383e-10 -44.0274 -38.7419 -4.66290e-09 4.53383e-10 -4.66290e-09 -7.69755e-15 2.59652e-09 4.53383e-10 -1.48030e-16 4.53383e-10 -4.66290e-09 -7.69755e-15 -1.48030e-16 -7.69755e-15 0.00000 , norm: 102.058 +DEAL::approx. third derivative: -13.9869 -31.1128 3.11787e-09 -31.1128 -44.0274 2.17672e-10 3.11787e-09 2.17672e-10 0.00000 -31.1128 -44.0274 2.17672e-10 -44.0274 -38.7419 -4.80050e-09 2.17672e-10 -4.80050e-09 -7.10543e-15 3.11787e-09 2.17672e-10 0.00000 2.17672e-10 -4.80050e-09 -7.10543e-15 0.00000 -7.10543e-15 0.00000 , norm: 102.058 DEAL:: exact third derivative: -16.9727 -45.1785 0.00000 -45.1785 -26.5198 0.00000 0.00000 0.00000 0.00000 -45.1785 -26.5198 0.00000 -26.5198 -70.5914 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 116.209 DEAL:: DEAL::cell 2.59 @@ -993,7 +993,7 @@ DEAL::approx. gradient: 1.25691 -0.938469 0.00000 , norm: 1.56861 DEAL:: exact gradient: 1.23996 -1.65503 0.00000 , norm: 2.06800 DEAL::approx. second derivative (hessian): 0.687181 -13.1900 0.00000 -13.1900 -6.30645 0.00000 0.00000 0.00000 0.00000 , norm: 16.4553 DEAL:: exact second derivative (hessian): -1.85788 -17.6732 0.00000 -17.6732 -2.90295 0.00000 0.00000 0.00000 0.00000 , norm: 20.0614 -DEAL::approx. third derivative: -19.6950 -1.21098 2.79508e-09 -1.21098 -53.1857 3.13234e-09 2.79508e-09 3.13234e-09 -3.55271e-15 -1.21098 -53.1857 3.13234e-09 -53.1857 22.7079 2.03595e-09 3.13234e-09 2.03595e-09 4.44089e-16 2.79508e-09 3.13234e-09 -3.55271e-15 3.13234e-09 2.03595e-09 4.44089e-16 -3.55271e-15 4.44089e-16 0.00000 , norm: 96.9232 +DEAL::approx. third derivative: -19.6950 -1.21098 3.69848e-09 -1.21098 -53.1857 3.67089e-09 3.69848e-09 3.67089e-09 -2.36848e-15 -1.21098 -53.1857 3.67089e-09 -53.1857 22.7079 2.10047e-09 3.67089e-09 2.10047e-09 0.00000 3.69848e-09 3.67089e-09 -2.36848e-15 3.67089e-09 2.10047e-09 0.00000 -2.36848e-15 0.00000 0.00000 , norm: 96.9232 DEAL:: exact third derivative: -19.8394 26.4805 0.00000 26.4805 -30.9990 0.00000 0.00000 0.00000 0.00000 26.4805 -30.9990 0.00000 -30.9990 41.3759 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 84.2142 DEAL:: DEAL::cell 2.60 @@ -1001,7 +1001,7 @@ DEAL::approx. gradient: 2.69619 -0.0376929 0.00000 , norm: 2.69645 DEAL:: exact gradient: 3.20413 -0.0496489 0.00000 , norm: 3.20452 DEAL::approx. second derivative (hessian): 7.72493 0.201474 0.00000 0.201474 10.6322 0.00000 0.00000 0.00000 0.00000 , norm: 10.6461 DEAL:: exact second derivative (hessian): 9.57424 0.265850 0.00000 0.265850 14.9597 0.00000 0.00000 0.00000 0.00000 , norm: 14.9728 -DEAL::approx. third derivative: -42.2477 0.596891 -1.60834e-10 0.596891 -58.1384 -5.80599e-10 -1.60834e-10 -5.80599e-10 5.28683e-15 0.596891 -58.1384 -5.80599e-10 -58.1384 0.912043 -1.13874e-09 -5.80599e-10 -1.13874e-09 2.75217e-11 -1.60834e-10 -5.80599e-10 5.28683e-15 -5.80599e-10 -1.13874e-09 2.75217e-11 5.28683e-15 2.75217e-11 0.00000 , norm: 109.211 +DEAL::approx. third derivative: -42.2477 0.596891 1.41390e-09 0.596891 -58.1384 2.23319e-10 1.41390e-09 2.23319e-10 4.73695e-15 0.596891 -58.1384 2.23319e-10 -58.1384 0.912043 2.78293e-09 2.23319e-10 2.78293e-09 1.18424e-15 1.41390e-09 2.23319e-10 4.73695e-15 2.23319e-10 2.78293e-09 1.18424e-15 4.73695e-15 1.18424e-15 0.00000 , norm: 109.211 DEAL:: exact third derivative: -51.2661 0.794383 0.00000 0.794383 -80.1033 0.00000 0.00000 0.00000 0.00000 0.794383 -80.1033 0.00000 -80.1033 1.24122 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 147.923 DEAL:: DEAL::cell 2.61 @@ -1009,7 +1009,7 @@ DEAL::approx. gradient: 3.79650 0.0220930 0.00000 , norm: 3.79656 DEAL:: exact gradient: 3.74531 0.0291008 0.00000 , norm: 3.74542 DEAL::approx. second derivative (hessian): 2.07564 0.260550 0.00000 0.260550 -6.23184 0.00000 0.00000 0.00000 0.00000 , norm: 6.24000 DEAL:: exact second derivative (hessian): -5.61176 0.310752 0.00000 0.310752 -8.76837 0.00000 0.00000 0.00000 0.00000 , norm: 8.79867 -DEAL::approx. third derivative: -59.4890 0.00791324 -2.82739e-09 0.00791324 -73.1597 -7.05465e-10 -2.82739e-09 -7.05465e-10 -1.18424e-14 0.00791324 -73.1597 -7.05465e-10 -73.1597 -0.534577 6.84246e-10 -7.05465e-10 6.84246e-10 5.92119e-16 -2.82739e-09 -7.05465e-10 -1.18424e-14 -7.05465e-10 6.84246e-10 5.92119e-16 -1.18424e-14 5.92119e-16 0.00000 , norm: 139.987 +DEAL::approx. third derivative: -59.4890 0.00791324 -9.86387e-11 0.00791324 -73.1597 2.64631e-10 -9.86387e-11 2.64631e-10 -9.47390e-15 0.00791324 -73.1597 2.64631e-10 -73.1597 -0.534577 -1.61437e-09 2.64631e-10 -1.61437e-09 5.92119e-16 -9.86387e-11 2.64631e-10 -9.47390e-15 2.64631e-10 -1.61437e-09 5.92119e-16 -9.47390e-15 5.92119e-16 0.00000 , norm: 139.987 DEAL:: exact third derivative: -59.9250 -0.465613 0.00000 -0.465613 -93.6328 0.00000 0.00000 0.00000 0.00000 -0.465613 -93.6328 0.00000 -93.6328 -0.727520 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 172.897 DEAL:: DEAL::cell 2.62 @@ -1017,7 +1017,7 @@ DEAL::approx. gradient: 0.892626 1.60112 0.00000 , norm: 1.83313 DEAL:: exact gradient: 1.06079 2.82366 0.00000 , norm: 3.01634 DEAL::approx. second derivative (hessian): 2.55749 -10.0655 0.00000 -10.0655 10.7594 0.00000 0.00000 0.00000 0.00000 , norm: 17.5273 DEAL:: exact second derivative (hessian): 3.16974 -15.1195 0.00000 -15.1195 4.95272 0.00000 0.00000 0.00000 0.00000 , norm: 19.2070 -DEAL::approx. third derivative: -13.9869 -31.1128 2.59652e-09 -31.1128 -44.0274 6.20847e-11 2.59652e-09 6.20847e-11 5.92119e-16 -31.1128 -44.0274 6.20847e-11 -44.0274 -38.7419 -4.69042e-09 6.20847e-11 -4.69042e-09 -6.51331e-15 2.59652e-09 6.20847e-11 5.92119e-16 6.20847e-11 -4.69042e-09 -6.51331e-15 5.92119e-16 -6.51331e-15 0.00000 , norm: 102.058 +DEAL::approx. third derivative: -13.9869 -31.1128 3.11787e-09 -31.1128 -44.0274 2.17672e-10 3.11787e-09 2.17672e-10 0.00000 -31.1128 -44.0274 2.17672e-10 -44.0274 -38.7419 -4.80050e-09 2.17672e-10 -4.80050e-09 -7.10543e-15 3.11787e-09 2.17672e-10 0.00000 2.17672e-10 -4.80050e-09 -7.10543e-15 0.00000 -7.10543e-15 0.00000 , norm: 102.058 DEAL:: exact third derivative: -16.9727 -45.1785 0.00000 -45.1785 -26.5198 0.00000 0.00000 0.00000 0.00000 -45.1785 -26.5198 0.00000 -26.5198 -70.5914 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 116.209 DEAL:: DEAL::cell 2.63 @@ -1025,6 +1025,6 @@ DEAL::approx. gradient: 1.25691 -0.938469 0.00000 , norm: 1.56861 DEAL:: exact gradient: 1.23996 -1.65503 0.00000 , norm: 2.06800 DEAL::approx. second derivative (hessian): 0.687181 -13.1900 0.00000 -13.1900 -6.30645 0.00000 0.00000 0.00000 0.00000 , norm: 16.4553 DEAL:: exact second derivative (hessian): -1.85788 -17.6732 0.00000 -17.6732 -2.90295 0.00000 0.00000 0.00000 0.00000 , norm: 20.0614 -DEAL::approx. third derivative: -19.6950 -1.21098 2.79508e-09 -1.21098 -53.1857 3.36170e-09 2.79508e-09 3.36170e-09 -2.36848e-15 -1.21098 -53.1857 3.36170e-09 -53.1857 22.7079 2.03595e-09 3.36170e-09 2.03595e-09 2.96059e-16 2.79508e-09 3.36170e-09 -2.36848e-15 3.36170e-09 2.03595e-09 2.96059e-16 -2.36848e-15 2.96059e-16 0.00000 , norm: 96.9232 +DEAL::approx. third derivative: -19.6950 -1.21098 3.69848e-09 -1.21098 -53.1857 3.67090e-09 3.69848e-09 3.67090e-09 -2.36848e-15 -1.21098 -53.1857 3.67090e-09 -53.1857 22.7079 2.10047e-09 3.67090e-09 2.10047e-09 0.00000 3.69848e-09 3.67090e-09 -2.36848e-15 3.67090e-09 2.10047e-09 0.00000 -2.36848e-15 0.00000 0.00000 , norm: 96.9232 DEAL:: exact third derivative: -19.8394 26.4805 0.00000 26.4805 -30.9990 0.00000 0.00000 0.00000 0.00000 26.4805 -30.9990 0.00000 -30.9990 41.3759 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 , norm: 84.2142 DEAL:: diff --git a/tests/deal.II/grid_transform_3d/cmp/generic b/tests/deal.II/grid_transform_3d/cmp/generic index 5969a110d2..e562099268 100644 --- a/tests/deal.II/grid_transform_3d/cmp/generic +++ b/tests/deal.II/grid_transform_3d/cmp/generic @@ -222,7 +222,7 @@ -0.419079 0.29214 -0.139757 1 0 -0.444861 0.00117423 -0.142004 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.455094 0.290066 0.000998209 1 0 -0.419079 0.29214 -0.139757 1 0 @@ -233,7 +233,7 @@ -0.444861 0.00117423 -0.142004 1 0 -0.7 0 0 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.7 0.292893 0 1 0 -0.455094 0.290066 0.000998209 1 0 @@ -247,7 +247,7 @@ -0.444861 0.00117423 -0.142004 1 0 -0.429385 -0.288654 -0.146202 1 0 -0.455094 -0.290066 0.000998209 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.444861 0.00117423 -0.142004 1 0 -0.7 0 -0.146447 1 0 @@ -260,7 +260,7 @@ -0.455094 -0.290066 0.000998209 1 0 -0.7 0 0 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.7 0.292893 0 1 0 -0.7 0 0 1 0 @@ -269,7 +269,7 @@ -0.7 0.292893 0 1 0 -0.455094 0.290066 0.000998209 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.444861 0.00117423 0.142004 1 0 -0.429385 0.288654 0.146202 1 0 -0.455094 0.290066 0.000998209 1 0 @@ -278,7 +278,7 @@ -0.455094 0.290066 0.000998209 1 0 -0.7 0 0 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.7 0 0.146447 1 0 -0.444861 0.00117423 0.142004 1 0 @@ -292,14 +292,14 @@ -0.7 0 0.146447 1 0 -0.7 0 0 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.455094 -0.290066 0.000998209 1 0 -0.419079 -0.29214 0.139757 1 0 -0.444861 0.00117423 0.142004 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.7 0 0 1 0 --0.442826 1.70998e-17 9.02474e-18 1 0 +-0.442826 1.74584e-17 -8.57914e-18 1 0 -0.7 -0.292893 0 1 0 -0.455094 -0.290066 0.000998209 1 0 @@ -1896,13 +1896,13 @@ -0.209132 0.143331 -0.0631555 2 0 -0.131061 0.00191945 -0.0640825 2 0 --0.442826 1.70998e-17 9.02474e-18 2 0 +-0.442826 1.74584e-17 -8.57914e-18 2 0 -0.134373 0.142869 0.0027815 2 0 -0.209132 0.143331 -0.0631555 2 0 -0.100301 0.142288 -0.060833 2 0 -0.123514 0.000342621 -0.0655586 2 0 --0.0719291 4.02407e-17 -9.70919e-20 2 0 +-0.0719291 2.39465e-17 -5.82788e-18 2 0 -0.128114 0.144643 0.00192062 2 0 -0.100301 0.142288 -0.060833 2 0 @@ -1912,8 +1912,8 @@ -0.131061 0.00191945 -0.0640825 2 0 -0.123514 0.000342621 -0.0655586 2 0 --0.442826 1.70998e-17 9.02474e-18 2 0 --0.0719291 4.02407e-17 -9.70919e-20 2 0 +-0.442826 1.74584e-17 -8.57914e-18 2 0 +-0.0719291 2.39465e-17 -5.82788e-18 2 0 -0.134373 0.142869 0.0027815 2 0 -0.128114 0.144643 0.00192062 2 0 @@ -1944,13 +1944,13 @@ -0.100301 0.142288 -0.060833 2 0 -0.123514 0.000342621 -0.0655586 2 0 --0.0719291 4.02407e-17 -9.70919e-20 2 0 +-0.0719291 2.39465e-17 -5.82788e-18 2 0 -0.128114 0.144643 0.00192062 2 0 -0.100301 0.142288 -0.060833 2 0 0.0199148 0.155586 -0.0630023 2 0 0.0152397 0.00538936 -0.059347 2 0 -0.00256705 3.08877e-17 -2.27503e-18 2 0 +0.00256705 1.80617e-17 -1.32403e-17 2 0 0.00885596 0.146265 0.00273419 2 0 0.0199148 0.155586 -0.0630023 2 0 @@ -1960,8 +1960,8 @@ -0.123514 0.000342621 -0.0655586 2 0 0.0152397 0.00538936 -0.059347 2 0 --0.0719291 4.02407e-17 -9.70919e-20 2 0 -0.00256705 3.08877e-17 -2.27503e-18 2 0 +-0.0719291 2.39465e-17 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