From: Zhuoran Wang <zhrwang@rams.colostate.edu>
Date: Fri, 7 Feb 2020 22:20:06 +0000 (-0700)
Subject: Add extra term from the symmetrization to the rhs. Use average and jump notation... 
X-Git-Tag: v9.2.0-rc1~535^2~2
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=f5dae2397af820627e35198dfaf20bc9cf89308a;p=dealii.git

Add extra term from the symmetrization to the rhs. Use average and jump notation on rhs for simplicity.
---

diff --git a/examples/step-47/doc/intro.dox b/examples/step-47/doc/intro.dox
index 2fbea6c7e4..6cf928d504 100644
--- a/examples/step-47/doc/intro.dox
+++ b/examples/step-47/doc/intro.dox
@@ -351,11 +351,11 @@ and
 \mathcal{F}(v_h)&:=\sum_{K \in \mathbb{T}}\int_{K} v_h f \ dx
 -
 \sum_{e \in \mathbb{F}, e\subset\partial\Omega}
-\int_e \frac{\partial^2 v_h}{\partial \mathbf n^2}} j \ ds
+\int_e \average{\frac{\partial^2 v_h}{\partial \mathbf n^2}} j \ ds
 +
 \sum_{e \in \mathbb{F}, e\subset\partial\Omega}
 \frac{\gamma}{h_e}
-\int_e \frac{\partial v_h}{\partial \mathbf n} j \ ds.
+\int_e \jump{\frac{\partial v_h}{\partial \mathbf n}} j \ ds.
 @f}
 Here, $\gamma$ is the penalty parameter which both weakly enforces the
 boundary condition