From: Nils Schween <nils.schween@mpi-hd.mpg.de>
Date: Thu, 28 Sep 2023 14:07:31 +0000 (+0200)
Subject: fix: dotting a scalar and a vector is not defined
X-Git-Tag: relicensing~404^2~3
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=4d38c77f01becdf27b8bf49a39d28bcd964f150b;p=dealii.git

fix: dotting a scalar and a vector is not defined
---

diff --git a/examples/step-12/doc/intro.dox b/examples/step-12/doc/intro.dox
index a55ebe281a..98b09f50b6 100644
--- a/examples/step-12/doc/intro.dox
+++ b/examples/step-12/doc/intro.dox
@@ -73,7 +73,7 @@ $u^{\text{upwind}}$ is defined to be $u^+$ if $\beta \cdot n>0$ and $u^-$ otherw
 
 As a result, the mesh-dependent weak form reads:
 @f[
-\sum_{T\in \mathbb T_h} -\bigl(\nabla \phi_i,{\mathbf \beta}\cdot \phi_j \bigr)_T +
+\sum_{T\in \mathbb T_h} -\bigl(\nabla \phi_i,{\mathbf \beta} \phi_j \bigr)_T +
 \sum_{F\in\mathbb F_h^i} \bigl< [\phi_i], \phi_j^{upwind} \beta\cdot \mathbf n\bigr>_{F} +
 \bigl<\phi_i, \phi_j \beta\cdot \mathbf n\bigr>_{\Gamma_+}
 = -\bigl<\phi_i, g \beta\cdot\mathbf n\bigr>_{\Gamma_-}.