Add extra term from the symmetrization to the rhs. Use average and jump notation...

diff --git a/examples/step-47/doc/intro.dox b/examples/step-47/doc/intro.dox
index 2fbea6c7e44b7306497840dd699a6cdf6980cefd..6cf928d504a8b54c9f1c7deea96fd7895bb17053 100644 (file)
--- 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