From: Martin Kronbichler Date: Mon, 7 May 2018 18:23:49 +0000 (+0200) Subject: Finally fix step-59 formula. X-Git-Tag: v9.1.0-rc1~1194^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F6513%2Fhead;p=dealii.git Finally fix step-59 formula. --- diff --git a/examples/step-59/doc/intro.dox b/examples/step-59/doc/intro.dox index 766a112181..76d6e51d5e 100644 --- a/examples/step-59/doc/intro.dox +++ b/examples/step-59/doc/intro.dox @@ -51,7 +51,7 @@ one used for the step-39 tutorial program. The discretization of the Laplacian is given by the following weak form @f{align*} &\sum_{K\in\text{cells}} \left(\nabla v_h, \nabla u_h\right)_{K}+\\ -&\sum_{F\in\text{faces}}\Big(-\left<[\![v_h]\!], \{\!\{\nabla u_h\}\!\}\right>_{F} - \left<\{\!\{\nabla v_h\}\!\}, \left<[\![u_h]\!]\right>_{F}\right) + \left<\left<[\![v_h]\!], \sigma \left<[\![u_h]\!]\right>_{F}\Big) \\ +&\sum_{F\in\text{faces}}\Big(-\left<[\![v_h]\!], \{\!\{\nabla u_h\}\!\}\right>_{F} - \left<\{\!\{\nabla v_h\}\!\}, [\![u_h]\!]\right>_{F} + \left<[\![v_h]\!], \sigma [\![u_h]\!]\right>_{F}\Big) \\ &= \sum_{K\in\text{cells}}\left(v_h, f\right)_{K}, @f} where $[\![v]\!] = v^- \mathbf{n}^- + v^+ \mathbf{n}^+ = \mathbf n^{-}