From 191031b77d8aee79a334d4c123bea367b0d949ae Mon Sep 17 00:00:00 2001 From: Martin Kronbichler Date: Mon, 7 May 2018 16:53:27 +0200 Subject: [PATCH] Try to fix latex formula. --- examples/step-59/doc/intro.dox | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/examples/step-59/doc/intro.dox b/examples/step-59/doc/intro.dox index d723fcc96b..67b77a147c 100644 --- a/examples/step-59/doc/intro.dox +++ b/examples/step-59/doc/intro.dox @@ -49,10 +49,10 @@ For this tutorial program, we exemplify the matrix-free DG framework for the interior penalty discretization of the Laplacian, i.e., the same scheme as the one used for the step-39 tutorial program. The discretization of the Laplacian is given by the following weak form -@f{eqnarray*} -&&\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_{K\in\text{cells}}\left(v_h, f\right)_{K}, +@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_{K\in\text{cells}}\left(v_h, f\right)_{K}, @f} where $[\![v]\!] = v^- \mathbf{n}^- + v^+ \mathbf{n}^+ = \mathbf n^{-} \left(v^- - v^+\right)$ denotes the directed jump of the quantity $v$ from the -- 2.39.5