From 1e3555a283f389c4843efc3f1a23c227d2e76bb1 Mon Sep 17 00:00:00 2001 From: David Wells Date: Tue, 22 Jun 2021 14:04:34 -0400 Subject: [PATCH] Fix several simplex quadrature rules. --- doc/news/changes/minor/20210622DavidWells | 4 + include/deal.II/base/quadrature_lib.h | 12 +- source/base/quadrature_lib.cc | 99 +++++----- tests/simplex/fe_lib_02.output | 184 ++++++++++-------- tests/simplex/fe_p_bubbles_02.output | 34 ++-- tests/simplex/matrix_free_01.output | 2 +- tests/simplex/matrix_free_03.output | 4 +- tests/simplex/poisson_02.output | 14 +- tests/simplex/q_projection_01.output | 168 +++++++++------- tests/simplex/qgauss_01.output | 6 +- tests/simplex/quadrature_lib_01.output | 43 ++-- tests/simplex/step-04.output | 8 +- tests/simplex/step-07.output | 24 +-- tests/simplex/step-12.output | 10 +- tests/simplex/step-12a.output | 6 +- tests/simplex/step-12b.output | 20 +- tests/simplex/step-12c.output | 10 +- .../variable_face_quadratures_03.output | 7 +- 18 files changed, 367 insertions(+), 288 deletions(-) create mode 100644 doc/news/changes/minor/20210622DavidWells diff --git a/doc/news/changes/minor/20210622DavidWells b/doc/news/changes/minor/20210622DavidWells new file mode 100644 index 0000000000..f060eda633 --- /dev/null +++ b/doc/news/changes/minor/20210622DavidWells @@ -0,0 +1,4 @@ +Fixed: The Gauss-like rules implemented by QGaussSimplex now integrate +2 * n_points_1D - 1 degree polynomials exactly. +
+(David Wells, 2021/06/22) diff --git a/include/deal.II/base/quadrature_lib.h b/include/deal.II/base/quadrature_lib.h index af9a4c0174..0e17569e45 100644 --- a/include/deal.II/base/quadrature_lib.h +++ b/include/deal.II/base/quadrature_lib.h @@ -800,13 +800,21 @@ public: * QGauss quadrature object, even though the present quadrature formula is not * a tensor product. The given value is translated for n_points_1D=1,2,3,4 to * following number of quadrature points for 2D and 3D: - * - 2D: 1, 3, 7, 15 - * - 3D: 1, 4, 10, 35 + * - 2D: 1, 4, 7, 15 + * - 3D: 1, 6, 14, 35 * * For 1D, the quadrature rule degenerates to a * `dealii::QGauss<1>(n_points_1D)`. * * @ingroup simplex + * + * @note The quadrature rules implemented by this class come from a variety of + * sources, but all of them have positive quadrature weights. + * + * @note Several of the schemes implemented by this class are not symmetric with + * respect to the vertices - i.e., the locations of the mapped quadrature points + * depends on the numbering of the cell vertices. If you need rules that are + * independent of the vertex numbering then use QWitherdenVincentSimplex. */ template class QGaussSimplex : public QSimplex diff --git a/source/base/quadrature_lib.cc b/source/base/quadrature_lib.cc index cb755baeb8..083018184c 100644 --- a/source/base/quadrature_lib.cc +++ b/source/base/quadrature_lib.cc @@ -1376,15 +1376,24 @@ QGaussSimplex::QGaussSimplex(const unsigned int n_points_1D) } else if (n_points_1D == 2) { - const double Q23 = 2.0 / 3.0; - const double Q16 = 1.0 / 6.0; - - this->quadrature_points.emplace_back(Q23, Q16); - this->quadrature_points.emplace_back(Q16, Q23); - this->quadrature_points.emplace_back(Q16, Q16); - this->weights.emplace_back(Q16); - this->weights.emplace_back(Q16); - this->weights.emplace_back(Q16); + // The Hillion 7 scheme, as communicated by quadpy + // + // See: Numerical Integration on a Triangle, International Journal for + // Numerical Methods in Engineering, 1977 + const double Q12 = 1.0 / 2.0; + this->quadrature_points.emplace_back(0.17855872826361643, + 0.1550510257216822); + this->quadrature_points.emplace_back(0.07503111022260812, + 0.6449489742783178); + this->quadrature_points.emplace_back(0.6663902460147014, + 0.1550510257216822); + this->quadrature_points.emplace_back(0.28001991549907407, + 0.6449489742783178); + + this->weights.emplace_back(0.31804138174397717 * Q12); + this->weights.emplace_back(0.18195861825602283 * Q12); + this->weights.emplace_back(0.31804138174397717 * Q12); + this->weights.emplace_back(0.18195861825602283 * Q12); } else if (n_points_1D == 3) { @@ -1429,48 +1438,46 @@ QGaussSimplex::QGaussSimplex(const unsigned int n_points_1D) this->quadrature_points.emplace_back(Q14, Q14, Q14); this->weights.emplace_back(Q16); } + // The Xiao Gimbutas 03 scheme, as communicated by quadpy + // + // See: A numerical algorithm for the construction of efficient quadrature + // rules in two and higher dimensions, Computers & Mathematics with + // Applications, 2010 else if (n_points_1D == 2) { - const double Q124 = 1.0 / 6.0 / 4.0; - - const double palpha = (5.0 + 3.0 * sqrt(5.0)) / 20.0; - const double pbeta = (5.0 - sqrt(5.0)) / 20.0; - this->quadrature_points.emplace_back(pbeta, pbeta, pbeta); - this->quadrature_points.emplace_back(palpha, pbeta, pbeta); - this->quadrature_points.emplace_back(pbeta, palpha, pbeta); - this->quadrature_points.emplace_back(pbeta, pbeta, palpha); - this->weights.emplace_back(Q124); - this->weights.emplace_back(Q124); - this->weights.emplace_back(Q124); - this->weights.emplace_back(Q124); + const double Q16 = 1.0 / 6.0; + this->weights.emplace_back(0.1223220027573451 * Q16); + this->weights.emplace_back(0.1280664127107469 * Q16); + this->weights.emplace_back(0.1325680271444452 * Q16); + this->weights.emplace_back(0.1406244096604032 * Q16); + this->weights.emplace_back(0.2244151669175574 * Q16); + this->weights.emplace_back(0.2520039808095023 * Q16); + + this->quadrature_points.emplace_back(0.1620014916985245, + 0.1838503504920977, + 0.01271836631368145); + this->quadrature_points.emplace_back(0.01090521221118924, + 0.2815238021235462, + 0.3621268299455338); + this->quadrature_points.emplace_back(0.1901170024392839, + 0.01140332944455717, + 0.3586207204668839); + this->quadrature_points.emplace_back(0.170816925164989, + 0.1528181430909273, + 0.6384932999617267); + this->quadrature_points.emplace_back(0.1586851632274406, + 0.5856628056552158, + 0.1308471689520965); + this->quadrature_points.emplace_back(0.5712260521491151, + 0.1469183900871696, + 0.1403728057942107); } + // Past this point the best rules (positive weights, minimal number of + // points) we have right now are the Witherden-Vincent ones else if (n_points_1D == 3) { - const double Q16 = 1.0 / 6.0; - - // clang-format off - this->quadrature_points.emplace_back(0.5684305841968444, 0.1438564719343852, 0.1438564719343852); - this->quadrature_points.emplace_back(0.1438564719343852, 0.1438564719343852, 0.1438564719343852); - this->quadrature_points.emplace_back(0.1438564719343852, 0.1438564719343852, 0.5684305841968444); - this->quadrature_points.emplace_back(0.1438564719343852, 0.5684305841968444, 0.1438564719343852); - this->quadrature_points.emplace_back(0.0000000000000000, 0.5000000000000000, 0.5000000000000000); - this->quadrature_points.emplace_back(0.5000000000000000, 0.0000000000000000, 0.5000000000000000); - this->quadrature_points.emplace_back(0.5000000000000000, 0.5000000000000000, 0.0000000000000000); - this->quadrature_points.emplace_back(0.5000000000000000, 0.0000000000000000, 0.0000000000000000); - this->quadrature_points.emplace_back(0.0000000000000000, 0.5000000000000000, 0.0000000000000000); - this->quadrature_points.emplace_back(0.0000000000000000, 0.0000000000000000, 0.5000000000000000); - // clang-format on - - this->weights.emplace_back(0.2177650698804054 * Q16); - this->weights.emplace_back(0.2177650698804054 * Q16); - this->weights.emplace_back(0.2177650698804054 * Q16); - this->weights.emplace_back(0.2177650698804054 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); - this->weights.emplace_back(0.0214899534130631 * Q16); + Quadrature::operator=( + QWitherdenVincentSimplex(n_points_1D)); } else if (n_points_1D == 4) { diff --git a/tests/simplex/fe_lib_02.output b/tests/simplex/fe_lib_02.output index cceed5719b..ccbb334e42 100644 --- a/tests/simplex/fe_lib_02.output +++ b/tests/simplex/fe_lib_02.output @@ -1,105 +1,133 @@ -DEAL:FE_SimplexP<2>(1)::0.666667 0.166667 : -DEAL:FE_SimplexP<2>(1)::0.166667 0.666667 0.166667 -1.00000 -1.00000 1.00000 0.00000 0.00000 1.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -DEAL:FE_SimplexP<2>(1)::0.166667 0.666667 : 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-2.77556e-17 -0.182015 -1.81799 -1.81799 -1.63597 1.81799 0.00000 1.81799 0.00000 1.81799 0.182015 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 -8.00000 -4.00000 -4.00000 -4.00000 0.00000 0.00000 -4.00000 0.00000 0.00000 0.00000 4.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -4.00000 0.00000 -4.00000 -8.00000 -4.00000 0.00000 -4.00000 0.00000 0.00000 0.00000 -4.00000 0.00000 0.00000 -4.00000 -4.00000 -4.00000 -8.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 0.00000 4.00000 0.00000 +DEAL:FE_SimplexDGP<3>(2)::0.454496 0.454496 0.0455037 : +DEAL:FE_SimplexDGP<3>(2)::-0.0413625 -0.0413625 -0.0413625 -0.0413625 0.0827251 0.826268 0.0827251 0.00828235 0.0827251 0.0827251 0.817985 0.817985 0.817985 0.817985 0.00000 0.00000 0.00000 0.817985 0.00000 0.00000 0.00000 -0.817985 -1.63597 -1.81799 -1.81799 1.81799 1.81799 0.00000 -1.81799 -1.63597 -1.81799 -0.182015 -0.182015 -5.55112e-17 0.182015 0.00000 1.81799 0.00000 0.182015 1.81799 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 -8.00000 -4.00000 -4.00000 -4.00000 0.00000 0.00000 -4.00000 0.00000 0.00000 0.00000 4.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -4.00000 0.00000 -4.00000 -8.00000 -4.00000 0.00000 -4.00000 0.00000 0.00000 0.00000 -4.00000 0.00000 0.00000 -4.00000 -4.00000 -4.00000 -8.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 4.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 4.00000 0.00000 4.00000 0.00000 DEAL:FE_SimplexDGP<3>(2):: diff --git a/tests/simplex/fe_p_bubbles_02.output b/tests/simplex/fe_p_bubbles_02.output index 41d0630803..7b4e868461 100644 --- a/tests/simplex/fe_p_bubbles_02.output +++ b/tests/simplex/fe_p_bubbles_02.output @@ -115,23 +115,23 @@ DEAL::ratio = 1.99086 DEAL::degree = 1 DEAL::number of cells = 8 DEAL::number of dofs = 9 -DEAL::error = 0.112188 +DEAL::error = 0.112372 DEAL::number of cells = 32 DEAL::number of dofs = 25 -DEAL::error = 0.0427299 -DEAL::ratio = 2.62551 +DEAL::error = 0.0427498 +DEAL::ratio = 2.62859 DEAL::number of cells = 128 DEAL::number of dofs = 81 -DEAL::error = 0.0170503 -DEAL::ratio = 2.50610 +DEAL::error = 0.0170530 +DEAL::ratio = 2.50688 DEAL::number of cells = 512 DEAL::number of dofs = 289 -DEAL::error = 0.00659734 -DEAL::ratio = 2.58443 +DEAL::error = 0.00659750 +DEAL::ratio = 2.58476 DEAL::number of cells = 2048 DEAL::number of dofs = 1089 -DEAL::error = 0.00268244 -DEAL::ratio = 2.45946 +DEAL::error = 0.00268246 +DEAL::ratio = 2.45950 DEAL::degree = 2 DEAL::number of cells = 8 DEAL::number of dofs = 33 @@ -162,7 +162,7 @@ DEAL::error = 0.110613 DEAL::number of cells = 192 DEAL::number of dofs = 192 DEAL::error = 0.0560060 -DEAL::ratio = 1.97503 +DEAL::ratio = 1.97501 DEAL::number of cells = 1536 DEAL::number of dofs = 1536 DEAL::error = 0.0288177 @@ -174,19 +174,19 @@ DEAL::ratio = 1.98187 DEAL::degree = 1 DEAL::number of cells = 24 DEAL::number of dofs = 14 -DEAL::error = 0.117148 +DEAL::error = 0.117311 DEAL::number of cells = 192 DEAL::number of dofs = 63 -DEAL::error = 0.0467977 -DEAL::ratio = 2.50329 +DEAL::error = 0.0468382 +DEAL::ratio = 2.50459 DEAL::number of cells = 1536 DEAL::number of dofs = 365 -DEAL::error = 0.0170371 -DEAL::ratio = 2.74682 +DEAL::error = 0.0170426 +DEAL::ratio = 2.74830 DEAL::number of cells = 12288 DEAL::number of dofs = 2457 -DEAL::error = 0.00632181 -DEAL::ratio = 2.69496 +DEAL::error = 0.00632241 +DEAL::ratio = 2.69559 DEAL::degree = 2 DEAL::number of cells = 24 DEAL::number of dofs = 147 diff --git a/tests/simplex/matrix_free_01.output b/tests/simplex/matrix_free_01.output index 83ee05c055..01b448a0a6 100644 --- a/tests/simplex/matrix_free_01.output +++ b/tests/simplex/matrix_free_01.output @@ -6,7 +6,7 @@ DEAL:SIMPLEX::dim=2 degree=2 Type=Helmholtz : Convergence step 36 value 0.000294 DEAL:SIMPLEX::dim=3 degree=1 Type=Possion : Convergence step 7 value 0.000281643. DEAL:SIMPLEX::dim=3 degree=1 Type=Helmholtz : Convergence step 7 value 0.000268188. DEAL:SIMPLEX::dim=3 degree=2 Type=Possion : Convergence step 20 value 0.000146315. -DEAL:SIMPLEX::dim=3 degree=2 Type=Helmholtz : Convergence step 20 value 0.000137731. +DEAL:SIMPLEX::dim=3 degree=2 Type=Helmholtz : Convergence step 20 value 0.000137758. DEAL:WEDGE ::dim=3 degree=1 Type=Possion : Convergence step 7 value 0.000224296. DEAL:WEDGE ::dim=3 degree=1 Type=Helmholtz : Convergence step 7 value 0.000211401. DEAL:WEDGE ::dim=3 degree=2 Type=Possion : Convergence step 20 value 0.000133408. diff --git a/tests/simplex/matrix_free_03.output b/tests/simplex/matrix_free_03.output index 730828db40..e2a2ab6c30 100644 --- a/tests/simplex/matrix_free_03.output +++ b/tests/simplex/matrix_free_03.output @@ -5,5 +5,5 @@ DEAL::dim=2 degree=2 0.0412685 DEAL::dim=2 degree=2 0.0412685 DEAL::dim=3 degree=1 0.0258555 DEAL::dim=3 degree=1 0.0258555 -DEAL::dim=3 degree=2 0.0250053 -DEAL::dim=3 degree=2 0.0250053 +DEAL::dim=3 degree=2 0.0250341 +DEAL::dim=3 degree=2 0.0250342 diff --git a/tests/simplex/poisson_02.output b/tests/simplex/poisson_02.output index 825396daad..ffb2f84e9c 100644 --- a/tests/simplex/poisson_02.output +++ b/tests/simplex/poisson_02.output @@ -1,8 +1,8 @@ error cells dofs -3.0924e-01 - 32 96 - -1.1363e-01 1.44 128 384 -2.00 -3.2531e-02 1.80 512 1536 -2.00 +3.2011e-01 - 32 96 - +1.1594e-01 1.47 128 384 -2.00 +3.3058e-02 1.81 512 1536 -2.00 DEAL:: error cells dofs 3.2745e-02 - 32 192 - @@ -10,12 +10,12 @@ DEAL:: 4.1566e-04 3.12 512 3072 -2.00 DEAL:: error cells dofs -1.6346e-01 - 320 1280 - -1.0816e-01 0.60 2560 10240 -3.00 +1.7408e-01 - 320 1280 - +1.1438e-01 0.61 2560 10240 -3.00 DEAL:: error cells dofs -8.4685e-02 - 320 3200 - -9.4765e-03 3.16 2560 25600 -3.00 +6.4411e-02 - 320 3200 - +6.4074e-03 3.33 2560 25600 -3.00 DEAL:: error cells dofs 1.6226e-01 - 16 64 - diff --git a/tests/simplex/q_projection_01.output b/tests/simplex/q_projection_01.output index ed748deec4..d6e0e3a2b0 100644 --- a/tests/simplex/q_projection_01.output +++ b/tests/simplex/q_projection_01.output @@ -144,124 +144,148 @@ DEAL:3d-1::face_no=3 face_orientation=false face_flip=false face_rotation=true: DEAL:3d-1::0.333333 0.333333 0.333333 0.866025 DEAL:3d-1:: DEAL:3d-4::face_no=0 face_orientation=true face_flip=false face_rotation=false: -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 +DEAL:3d-4::0.178559 0.155051 0.00000 0.159021 +DEAL:3d-4::0.0750311 0.644949 0.00000 0.0909793 +DEAL:3d-4::0.666390 0.155051 0.00000 0.159021 +DEAL:3d-4::0.280020 0.644949 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=0 face_orientation=true face_flip=true face_rotation=false: -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 +DEAL:3d-4::0.155051 0.666390 0.00000 0.159021 +DEAL:3d-4::0.644949 0.280020 0.00000 0.0909793 +DEAL:3d-4::0.155051 0.178559 0.00000 0.159021 +DEAL:3d-4::0.644949 0.0750311 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=0 face_orientation=true face_flip=false face_rotation=true: -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 +DEAL:3d-4::0.666390 0.178559 0.00000 0.159021 +DEAL:3d-4::0.280020 0.0750311 0.00000 0.0909793 +DEAL:3d-4::0.178559 0.666390 0.00000 0.159021 +DEAL:3d-4::0.0750311 0.280020 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=0 face_orientation=false face_flip=false face_rotation=false: -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 +DEAL:3d-4::0.155051 0.178559 0.00000 0.159021 +DEAL:3d-4::0.644949 0.0750311 0.00000 0.0909793 +DEAL:3d-4::0.155051 0.666390 0.00000 0.159021 +DEAL:3d-4::0.644949 0.280020 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=0 face_orientation=false face_flip=true face_rotation=false: -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 +DEAL:3d-4::0.666390 0.155051 0.00000 0.159021 +DEAL:3d-4::0.280020 0.644949 0.00000 0.0909793 +DEAL:3d-4::0.178559 0.155051 0.00000 0.159021 +DEAL:3d-4::0.0750311 0.644949 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=0 face_orientation=false face_flip=false face_rotation=true: -DEAL:3d-4::0.666667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.166667 0.00000 0.166667 -DEAL:3d-4::0.166667 0.666667 0.00000 0.166667 +DEAL:3d-4::0.178559 0.666390 0.00000 0.159021 +DEAL:3d-4::0.0750311 0.280020 0.00000 0.0909793 +DEAL:3d-4::0.666390 0.178559 0.00000 0.159021 +DEAL:3d-4::0.280020 0.0750311 0.00000 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=true face_flip=false face_rotation=false: -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 +DEAL:3d-4::0.666390 0.00000 0.155051 0.159021 +DEAL:3d-4::0.280020 0.00000 0.644949 0.0909793 +DEAL:3d-4::0.178559 0.00000 0.155051 0.159021 +DEAL:3d-4::0.0750311 0.00000 0.644949 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=true face_flip=true face_rotation=false: -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 +DEAL:3d-4::0.178559 0.00000 0.666390 0.159021 +DEAL:3d-4::0.0750311 0.00000 0.280020 0.0909793 +DEAL:3d-4::0.666390 0.00000 0.178559 0.159021 +DEAL:3d-4::0.280020 0.00000 0.0750311 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=true face_flip=false face_rotation=true: -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 +DEAL:3d-4::0.155051 0.00000 0.178559 0.159021 +DEAL:3d-4::0.644949 0.00000 0.0750311 0.0909793 +DEAL:3d-4::0.155051 0.00000 0.666390 0.159021 +DEAL:3d-4::0.644949 0.00000 0.280020 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=false face_flip=false face_rotation=false: -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 +DEAL:3d-4::0.666390 0.00000 0.178559 0.159021 +DEAL:3d-4::0.280020 0.00000 0.0750311 0.0909793 +DEAL:3d-4::0.178559 0.00000 0.666390 0.159021 +DEAL:3d-4::0.0750311 0.00000 0.280020 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=false face_flip=true face_rotation=false: -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 +DEAL:3d-4::0.178559 0.00000 0.155051 0.159021 +DEAL:3d-4::0.0750311 0.00000 0.644949 0.0909793 +DEAL:3d-4::0.666390 0.00000 0.155051 0.159021 +DEAL:3d-4::0.280020 0.00000 0.644949 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=1 face_orientation=false face_flip=false face_rotation=true: -DEAL:3d-4::0.166667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.666667 0.00000 0.166667 0.166667 -DEAL:3d-4::0.166667 0.00000 0.666667 0.166667 +DEAL:3d-4::0.155051 0.00000 0.666390 0.159021 +DEAL:3d-4::0.644949 0.00000 0.280020 0.0909793 +DEAL:3d-4::0.155051 0.00000 0.178559 0.159021 +DEAL:3d-4::0.644949 0.00000 0.0750311 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=true face_flip=false face_rotation=false: -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 +DEAL:3d-4::0.00000 0.178559 0.155051 0.159021 +DEAL:3d-4::0.00000 0.0750311 0.644949 0.0909793 +DEAL:3d-4::0.00000 0.666390 0.155051 0.159021 +DEAL:3d-4::0.00000 0.280020 0.644949 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=true face_flip=true face_rotation=false: -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 +DEAL:3d-4::0.00000 0.155051 0.666390 0.159021 +DEAL:3d-4::0.00000 0.644949 0.280020 0.0909793 +DEAL:3d-4::0.00000 0.155051 0.178559 0.159021 +DEAL:3d-4::0.00000 0.644949 0.0750311 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=true face_flip=false face_rotation=true: -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 +DEAL:3d-4::0.00000 0.666390 0.178559 0.159021 +DEAL:3d-4::0.00000 0.280020 0.0750311 0.0909793 +DEAL:3d-4::0.00000 0.178559 0.666390 0.159021 +DEAL:3d-4::0.00000 0.0750311 0.280020 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=false face_flip=false face_rotation=false: -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 +DEAL:3d-4::0.00000 0.155051 0.178559 0.159021 +DEAL:3d-4::0.00000 0.644949 0.0750311 0.0909793 +DEAL:3d-4::0.00000 0.155051 0.666390 0.159021 +DEAL:3d-4::0.00000 0.644949 0.280020 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=false face_flip=true face_rotation=false: -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 +DEAL:3d-4::0.00000 0.666390 0.155051 0.159021 +DEAL:3d-4::0.00000 0.280020 0.644949 0.0909793 +DEAL:3d-4::0.00000 0.178559 0.155051 0.159021 +DEAL:3d-4::0.00000 0.0750311 0.644949 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=2 face_orientation=false face_flip=false face_rotation=true: -DEAL:3d-4::0.00000 0.666667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.166667 0.166667 -DEAL:3d-4::0.00000 0.166667 0.666667 0.166667 +DEAL:3d-4::0.00000 0.178559 0.666390 0.159021 +DEAL:3d-4::0.00000 0.0750311 0.280020 0.0909793 +DEAL:3d-4::0.00000 0.666390 0.178559 0.159021 +DEAL:3d-4::0.00000 0.280020 0.0750311 0.0909793 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=true face_flip=false face_rotation=false: -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 +DEAL:3d-4::0.178559 0.666390 0.155051 0.275432 +DEAL:3d-4::0.0750311 0.280020 0.644949 0.157581 +DEAL:3d-4::0.666390 0.178559 0.155051 0.275432 +DEAL:3d-4::0.280020 0.0750311 0.644949 0.157581 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=true face_flip=true face_rotation=false: -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 +DEAL:3d-4::0.155051 0.178559 0.666390 0.275432 +DEAL:3d-4::0.644949 0.0750311 0.280020 0.157581 +DEAL:3d-4::0.155051 0.666390 0.178559 0.275432 +DEAL:3d-4::0.644949 0.280020 0.0750311 0.157581 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=true face_flip=false face_rotation=true: -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 +DEAL:3d-4::0.666390 0.155051 0.178559 0.275432 +DEAL:3d-4::0.280020 0.644949 0.0750311 0.157581 +DEAL:3d-4::0.178559 0.155051 0.666390 0.275432 +DEAL:3d-4::0.0750311 0.644949 0.280020 0.157581 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=false face_flip=false face_rotation=false: -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 +DEAL:3d-4::0.155051 0.666390 0.178559 0.275432 +DEAL:3d-4::0.644949 0.280020 0.0750311 0.157581 +DEAL:3d-4::0.155051 0.178559 0.666390 0.275432 +DEAL:3d-4::0.644949 0.0750311 0.280020 0.157581 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=false face_flip=true face_rotation=false: -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 +DEAL:3d-4::0.666390 0.178559 0.155051 0.275432 +DEAL:3d-4::0.280020 0.0750311 0.644949 0.157581 +DEAL:3d-4::0.178559 0.666390 0.155051 0.275432 +DEAL:3d-4::0.0750311 0.280020 0.644949 0.157581 DEAL:3d-4:: DEAL:3d-4::face_no=3 face_orientation=false face_flip=false face_rotation=true: -DEAL:3d-4::0.666667 0.166667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.666667 0.166667 0.288675 -DEAL:3d-4::0.166667 0.166667 0.666667 0.288675 +DEAL:3d-4::0.178559 0.155051 0.666390 0.275432 +DEAL:3d-4::0.0750311 0.644949 0.280020 0.157581 +DEAL:3d-4::0.666390 0.155051 0.178559 0.275432 +DEAL:3d-4::0.280020 0.644949 0.0750311 0.157581 DEAL:3d-4:: DEAL:3d-10::face_no=0 face_orientation=true face_flip=false face_rotation=false: DEAL:3d-10::0.333333 0.333333 0.00000 0.112500 diff --git a/tests/simplex/qgauss_01.output b/tests/simplex/qgauss_01.output index d69117871d..005640a101 100644 --- a/tests/simplex/qgauss_01.output +++ b/tests/simplex/qgauss_01.output @@ -4,7 +4,7 @@ DEAL:: DEAL::Monomial powers = 0.00000 1.00000 DEAL::Integrand = 0.1666666666666667 DEAL::Monomial powers = 1.00000 2.00000 -DEAL::Integrand = 0.01620370370370370 +DEAL::Integrand = 0.01666666666666667 DEAL::Monomial powers = 2.00000 3.00000 DEAL::Integrand = 0.002380952380952380 DEAL::Monomial powers = 3.00000 4.00000 @@ -12,8 +12,8 @@ DEAL::Integrand = 0.0003968253968253969 DEAL::Monomial powers = 0.00000 0.00000 1.00000 DEAL::Integrand = 0.04166666666666666 DEAL::Monomial powers = 1.00000 1.00000 1.00000 -DEAL::Integrand = 0.001507514161979123 +DEAL::Integrand = 0.001388888888888889 DEAL::Monomial powers = 1.00000 1.00000 3.00000 -DEAL::Integrand = 0.0001578591272523996 +DEAL::Integrand = 0.0001488095238095239 DEAL::Monomial powers = 2.00000 2.00000 3.00000 DEAL::Integrand = 6.613756613756609e-06 diff --git a/tests/simplex/quadrature_lib_01.output b/tests/simplex/quadrature_lib_01.output index d2a4bff8c8..917f2f520c 100644 --- a/tests/simplex/quadrature_lib_01.output +++ b/tests/simplex/quadrature_lib_01.output @@ -5,10 +5,11 @@ DEAL:1d-2::0.788675 0.500000 DEAL:1d-3::0.112702 0.277778 DEAL:1d-3::0.500000 0.444444 DEAL:1d-3::0.887298 0.277778 -DEAL:2d-1::0.333333 0.333333 0.50000 -DEAL:2d-3::0.666667 0.166667 0.166667 -DEAL:2d-3::0.166667 0.666667 0.166667 -DEAL:2d-3::0.166667 0.166667 0.166667 +DEAL:2d-1::0.333333 0.333333 0.500000 +DEAL:2d-3::0.178559 0.155051 0.159021 +DEAL:2d-3::0.0750311 0.644949 0.0909793 +DEAL:2d-3::0.666390 0.155051 0.159021 +DEAL:2d-3::0.280020 0.644949 0.0909793 DEAL:2d-7::0.333333 0.333333 0.112500 DEAL:2d-7::0.797427 0.101287 0.0629696 DEAL:2d-7::0.101287 0.797427 0.0629696 @@ -17,17 +18,23 @@ DEAL:2d-7::0.0597159 0.470142 0.0661971 DEAL:2d-7::0.470142 0.0597159 0.0661971 DEAL:2d-7::0.470142 0.470142 0.0661971 DEAL:3d-1::0.250000 0.250000 0.250000 0.166667 -DEAL:3d-4::0.138197 0.138197 0.138197 0.0416667 -DEAL:3d-4::0.585410 0.138197 0.138197 0.0416667 -DEAL:3d-4::0.138197 0.585410 0.138197 0.0416667 -DEAL:3d-4::0.138197 0.138197 0.585410 0.0416667 -DEAL:3d-10::0.568431 0.143856 0.143856 0.0362942 -DEAL:3d-10::0.143856 0.143856 0.143856 0.0362942 -DEAL:3d-10::0.143856 0.143856 0.568431 0.0362942 -DEAL:3d-10::0.143856 0.568431 0.143856 0.0362942 -DEAL:3d-10::0.00000 0.500000 0.500000 0.00358166 -DEAL:3d-10::0.500000 0.00000 0.500000 0.00358166 -DEAL:3d-10::0.500000 0.500000 0.00000 0.00358166 -DEAL:3d-10::0.500000 0.00000 0.00000 0.00358166 -DEAL:3d-10::0.00000 0.500000 0.00000 0.00358166 -DEAL:3d-10::0.00000 0.00000 0.500000 0.00358166 +DEAL:3d-4::0.162001 0.183850 0.0127184 0.0203870 +DEAL:3d-4::0.0109052 0.281524 0.362127 0.0213444 +DEAL:3d-4::0.190117 0.0114033 0.358621 0.0220947 +DEAL:3d-4::0.170817 0.152818 0.638493 0.0234374 +DEAL:3d-4::0.158685 0.585663 0.130847 0.0374025 +DEAL:3d-4::0.571226 0.146918 0.140373 0.0420007 +DEAL:3d-10::0.0673422 0.310886 0.310886 0.0187813 +DEAL:3d-10::0.310886 0.0673422 0.310886 0.0187813 +DEAL:3d-10::0.310886 0.310886 0.0673422 0.0187813 +DEAL:3d-10::0.310886 0.310886 0.310886 0.0187813 +DEAL:3d-10::0.0927353 0.0927353 0.0927353 0.0122488 +DEAL:3d-10::0.0927353 0.0927353 0.721794 0.0122488 +DEAL:3d-10::0.0927353 0.721794 0.0927353 0.0122488 +DEAL:3d-10::0.721794 0.0927353 0.0927353 0.0122488 +DEAL:3d-10::0.0455037 0.0455037 0.454496 0.00709100 +DEAL:3d-10::0.0455037 0.454496 0.0455037 0.00709100 +DEAL:3d-10::0.0455037 0.454496 0.454496 0.00709100 +DEAL:3d-10::0.454496 0.0455037 0.0455037 0.00709100 +DEAL:3d-10::0.454496 0.0455037 0.454496 0.00709100 +DEAL:3d-10::0.454496 0.454496 0.0455037 0.00709100 diff --git a/tests/simplex/step-04.output b/tests/simplex/step-04.output index f1a975bbd9..2b996f6d87 100644 --- a/tests/simplex/step-04.output +++ b/tests/simplex/step-04.output @@ -4,12 +4,12 @@ DEAL:: Number of active cells: 512 DEAL:: Total number of cells: 512 DEAL:: Number of degrees of freedom: 289 DEAL:cg::Starting value 11.6837 -DEAL:cg::Convergence step 33 value 2.19749e-16 +DEAL:cg::Convergence step 33 value 6.23059e-17 DEAL:: 33 CG iterations needed to obtain convergence. DEAL::Solving problem in 3 space dimensions. DEAL:: Number of active cells: 12288 DEAL:: Total number of cells: 12288 DEAL:: Number of degrees of freedom: 2457 -DEAL:cg::Starting value 13.9290 -DEAL:cg::Convergence step 46 value 8.50319e-13 -DEAL:: 46 CG iterations needed to obtain convergence. +DEAL:cg::Starting value 13.9291 +DEAL:cg::Convergence step 50 value 5.74165e-13 +DEAL:: 50 CG iterations needed to obtain convergence. diff --git a/tests/simplex/step-07.output b/tests/simplex/step-07.output index 4fe8ec18c4..8ac8c0b0fd 100644 --- a/tests/simplex/step-07.output +++ b/tests/simplex/step-07.output @@ -6,25 +6,25 @@ DEAL:: DEAL::Solving with P1 elements, global refinement DEAL::=========================================== DEAL:: -DEAL:cg::Starting value 4.36155 -DEAL:cg::Convergence step 32 value 4.41596e-13 +DEAL:cg::Starting value 4.31042 +DEAL:cg::Convergence step 32 value 4.40009e-13 DEAL::Cycle 0: DEAL:: Number of active cells: 512 DEAL:: Number of degrees of freedom: 289 -DEAL:cg::Starting value 2.73911 -DEAL:cg::Convergence step 58 value 8.84507e-13 +DEAL:cg::Starting value 2.73770 +DEAL:cg::Convergence step 58 value 8.84330e-13 DEAL::Cycle 1: DEAL:: Number of active cells: 2048 DEAL:: Number of degrees of freedom: 1089 -DEAL:cg::Starting value 1.49437 -DEAL:cg::Convergence step 113 value 6.96045e-13 +DEAL:cg::Starting value 1.49432 +DEAL:cg::Convergence step 113 value 6.96029e-13 DEAL::Cycle 2: DEAL:: Number of active cells: 8192 DEAL:: Number of degrees of freedom: 4225 DEAL:: cycle cells dofs L2 H1 Linfty -0 512 289 1.342e-01 3.074e+00 8.185e-01 -1 2048 1089 4.203e-02 1.878e+00 3.749e-01 +0 512 289 1.335e-01 3.062e+00 8.074e-01 +1 2048 1089 4.205e-02 1.878e+00 3.744e-01 2 8192 4225 1.131e-02 9.927e-01 1.125e-01 \documentclass[10pt]{report} \usepackage{float} @@ -35,8 +35,8 @@ cycle cells dofs L2 H1 Linfty \begin{center} \begin{tabular}{|c|r|r|c|c|c|} \hline cycle & \# cells & \# dofs & $L^2$-error & $H^1$-error & $L^\infty$-error\\ \hline -0 & 512 & 289 & 1.342e-01 & 3.074e+00 & 8.185e-01\\ \hline -1 & 2048 & 1089 & 4.203e-02 & 1.878e+00 & 3.749e-01\\ \hline +0 & 512 & 289 & 1.335e-01 & 3.062e+00 & 8.074e-01\\ \hline +1 & 2048 & 1089 & 4.205e-02 & 1.878e+00 & 3.744e-01\\ \hline 2 & 8192 & 4225 & 1.131e-02 & 9.927e-01 & 1.125e-01\\ \hline \end{tabular} \end{center} @@ -44,8 +44,8 @@ cycle & \# cells & \# dofs & $L^2$-error & $H^1$-error & $L^\infty$-error\\ \hli \end{document} DEAL:: n cells H1 L2 -0 512 3.074e+00 - - 1.342e-01 - - -1 2048 1.878e+00 1.64 0.71 4.203e-02 3.19 1.68 +0 512 3.062e+00 - - 1.335e-01 - - +1 2048 1.878e+00 1.63 0.71 4.205e-02 3.17 1.67 2 8192 9.927e-01 1.89 0.92 1.131e-02 3.72 1.89 DEAL:: DEAL::Solving with P2 elements, global refinement diff --git a/tests/simplex/step-12.output b/tests/simplex/step-12.output index f6149cf944..69c23db213 100644 --- a/tests/simplex/step-12.output +++ b/tests/simplex/step-12.output @@ -3,22 +3,22 @@ Cycle 0 Number of degrees of freedom: 24 Solver converged in 7 iterations. Writing solution to - L-infinity norm: 1.00799 + L-infinity norm: 0.993328 Cycle 1 Number of active cells: 32 Number of degrees of freedom: 96 - Solver converged in 8 iterations. + Solver converged in 7 iterations. Writing solution to - L-infinity norm: 1.14371 + L-infinity norm: 1.14625 Cycle 2 Number of active cells: 128 Number of degrees of freedom: 384 Solver converged in 11 iterations. Writing solution to - L-infinity norm: 1.09928 + L-infinity norm: 1.10592 Cycle 3 Number of active cells: 512 Number of degrees of freedom: 1536 Solver converged in 21 iterations. Writing solution to - L-infinity norm: 1.11521 + L-infinity norm: 1.11957 diff --git a/tests/simplex/step-12a.output b/tests/simplex/step-12a.output index 7fbe5eb0f7..60ec7a0637 100644 --- a/tests/simplex/step-12a.output +++ b/tests/simplex/step-12a.output @@ -3,13 +3,13 @@ DEAL::Cycle 0 DEAL:: Number of active cells: 2048 DEAL:: Number of degrees of freedom: 12288 DEAL:Richardson::Starting value 0.0883883 -DEAL:Richardson::Convergence step 16 value 9.71637e-17 +DEAL:Richardson::Convergence step 16 value 8.69225e-17 DEAL:: Solver converged in 16 iterations. DEAL:: L-infinity norm: 2.33280 DEAL::Cycle 0 DEAL:: Number of active cells: 2560 DEAL:: Number of degrees of freedom: 25600 DEAL:Richardson::Starting value 0.0360844 -DEAL:Richardson::Convergence step 13 value 2.52800e-14 +DEAL:Richardson::Convergence step 13 value 1.78265e-14 DEAL:: Solver converged in 13 iterations. -DEAL:: L-infinity norm: 13.9260 +DEAL:: L-infinity norm: 14.2242 diff --git a/tests/simplex/step-12b.output b/tests/simplex/step-12b.output index 89ed3cd545..265e33a181 100644 --- a/tests/simplex/step-12b.output +++ b/tests/simplex/step-12b.output @@ -3,9 +3,9 @@ DEAL::Cycle 0: DEAL:: Number of active cells: 512 DEAL:: Number of degrees of freedom: 1536 DEAL:: 0.125000 -DEAL:: 17.2926 +DEAL:: 17.2949 DEAL:: 0.125000 -DEAL:: 17.2926 +DEAL:: 17.2949 DEAL::solution1 and solution2 coincide. DEAL::Cycle 0: DEAL:: Number of active cells: 512 @@ -35,33 +35,33 @@ DEAL::Cycle 0: DEAL:: Number of active cells: 2560 DEAL:: Number of degrees of freedom: 10240 DEAL:: 0.0360844 -DEAL:: 45.1474 +DEAL:: 45.1833 DEAL:: 0.0360844 -DEAL:: 45.1474 +DEAL:: 45.1833 DEAL::solution1 and solution2 coincide. DEAL::Cycle 0: DEAL:: Number of active cells: 2560 DEAL:: Number of degrees of freedom: 25600 DEAL:: 0.0360844 -DEAL:: 69.8629 +DEAL:: 69.8864 DEAL:: 0.0360844 -DEAL:: 69.8629 +DEAL:: 69.8864 DEAL::solution1 and solution2 coincide. DEAL::Cycle 0: DEAL:: Number of active cells: 3072 DEAL:: Number of degrees of freedom: 15360 DEAL:: 0.0441942 -DEAL:: 54.8297 +DEAL:: 54.8271 DEAL:: 0.0441942 -DEAL:: 54.8297 +DEAL:: 54.8271 DEAL::solution1 and solution2 coincide. DEAL::Cycle 0: DEAL:: Number of active cells: 1024 DEAL:: Number of degrees of freedom: 6144 DEAL:: 0.0441942 -DEAL:: 34.6857 +DEAL:: 34.7035 DEAL:: 0.0441942 -DEAL:: 34.6857 +DEAL:: 34.7035 DEAL::solution1 and solution2 coincide. DEAL::Cycle 0: DEAL:: Number of active cells: 1024 diff --git a/tests/simplex/step-12c.output b/tests/simplex/step-12c.output index b8e96aab02..a0a1352339 100644 --- a/tests/simplex/step-12c.output +++ b/tests/simplex/step-12c.output @@ -3,7 +3,7 @@ DEAL::Cycle 0: DEAL:: Number of active cells: 512 DEAL:: Number of degrees of freedom: 1536 DEAL:: 0.125000 -DEAL:: 17.2926 +DEAL:: 17.2949 DEAL::Cycle 0: DEAL:: Number of active cells: 512 DEAL:: Number of degrees of freedom: 3072 @@ -23,22 +23,22 @@ DEAL::Cycle 0: DEAL:: Number of active cells: 2560 DEAL:: Number of degrees of freedom: 10240 DEAL:: 0.0360844 -DEAL:: 45.1474 +DEAL:: 45.1833 DEAL::Cycle 0: DEAL:: Number of active cells: 2560 DEAL:: Number of degrees of freedom: 25600 DEAL:: 0.0360844 -DEAL:: 69.8629 +DEAL:: 69.8864 DEAL::Cycle 0: DEAL:: Number of active cells: 3072 DEAL:: Number of degrees of freedom: 15360 DEAL:: 0.0441942 -DEAL:: 54.8297 +DEAL:: 54.8271 DEAL::Cycle 0: DEAL:: Number of active cells: 1024 DEAL:: Number of degrees of freedom: 6144 DEAL:: 0.0441942 -DEAL:: 34.6857 +DEAL:: 34.7035 DEAL::Cycle 0: DEAL:: Number of active cells: 1024 DEAL:: Number of degrees of freedom: 18432 diff --git a/tests/simplex/variable_face_quadratures_03.output b/tests/simplex/variable_face_quadratures_03.output index c8b88bfefd..6b1ea947d5 100644 --- a/tests/simplex/variable_face_quadratures_03.output +++ b/tests/simplex/variable_face_quadratures_03.output @@ -15,9 +15,10 @@ DEAL:dim=3::face_no=0: DEAL:dim=3::0.333333 0.333333 0.00000 DEAL:dim=3:: DEAL:dim=3::face_no=1: -DEAL:dim=3::0.166667 0.00000 0.166667 -DEAL:dim=3::0.166667 0.00000 0.666667 -DEAL:dim=3::0.666667 0.00000 0.166667 +DEAL:dim=3::0.666390 0.00000 0.155051 +DEAL:dim=3::0.280020 0.00000 0.644949 +DEAL:dim=3::0.178559 0.00000 0.155051 +DEAL:dim=3::0.0750311 0.00000 0.644949 DEAL:dim=3:: DEAL:dim=3::face_no=2: DEAL:dim=3::0.00000 0.333333 0.333333 -- 2.39.5