From: Timo Heister Date: Thu, 24 Oct 2019 09:21:47 +0000 (+0200) Subject: add paragraph to intro X-Git-Tag: v9.2.0-rc1~836^2~4 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=4370d0e39c3f41876385c9275a48c19078855967;p=dealii.git add paragraph to intro --- diff --git a/examples/step-12/doc/intro.dox b/examples/step-12/doc/intro.dox index c7fef8e9b8..4be675278e 100644 --- a/examples/step-12/doc/intro.dox +++ b/examples/step-12/doc/intro.dox @@ -91,8 +91,14 @@ The summation of all those is done by MeshWorker::mesh_loop().

The test problem

-Wee solve the advection equation on +We solve the advection equation on $\Omega=[0,1]^2$ with ${\mathbf \beta}=\frac{1}{|x|}(-x_2, x_1)$ representing a circular counterclockwise flow field, and $g=1$ on ${\bf x}\in\Gamma_-^1 := [0,0.5]\times\{0\}$ and $g=0$ on ${\bf x}\in \Gamma_-\setminus \Gamma_-^1$. + +We solve on a sequence of meshes by refining the mesh adaptively by estimating +the norm of the gradient on each cell. After solving on each mesh, we output +the solution in vtk format and compute the $L^\infty$ norm of the solution. As +the exact solution is either 0 or 1, we can measure the magnitude of the +overshoot of the numerical solution with this.