From f5dae2397af820627e35198dfaf20bc9cf89308a Mon Sep 17 00:00:00 2001 From: Zhuoran Wang Date: Fri, 7 Feb 2020 15:20:06 -0700 Subject: [PATCH] Add extra term from the symmetrization to the rhs. Use average and jump notation on rhs for simplicity. --- examples/step-47/doc/intro.dox | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) 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 -- 2.39.5