From: bangerth Date: Fri, 23 May 2008 13:43:08 +0000 (+0000) Subject: Make headings H3 so that the documentation generator can see them and put them into... X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=11c710e1653014f668faec53f39e6b4408cc75ab;p=dealii-svn.git Make headings H3 so that the documentation generator can see them and put them into the index. git-svn-id: https://svn.dealii.org/trunk@16180 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-22/doc/intro.dox b/deal.II/examples/step-22/doc/intro.dox index 7ab692acb4..6c96f3143b 100644 --- a/deal.II/examples/step-22/doc/intro.dox +++ b/deal.II/examples/step-22/doc/intro.dox @@ -48,7 +48,7 @@ The equations covered here fall into the class of vector-valued problems. A toplevel overview of this topic can be found in the @ref vector_valued module. -

Weak form

+

Weak form

The weak form of the equations is obtained by writing it in vector form as @@ -138,7 +138,7 @@ of the bilinear form that the Stokes equations yield a symmetric bilinear form, and consequently a symmetric (if indefinite) system matrix. -

%Boundary conditions

+

%Boundary conditions

The weak form just derived immediately presents us with different possibilities for imposing boundary conditions: @@ -265,7 +265,7 @@ Despite this wealth of possibilities, we will only use Dirichlet and (homogenous) Neumann boundary conditions in this tutorial program. -

Discretization

+

Discretization

As developed above, the weak form of the equations with Dirichlet and Neumann boundary conditions on $\Gamma_D$ and $\Gamma_N$ reads like this: find @@ -320,7 +320,7 @@ vector_valued module. -

Linear solver and preconditioning issues

+

Linear solver and preconditioning issues

The weak form of the discrete equations naturally leads to the following linear system for the nodal values of the velocity and pressure fields: @@ -532,7 +532,7 @@ classes, we will be able to use them interchangeably using the same syntax in all places. -

The testcase

+

The testcase

The domain, right hand side and boundary conditions we implement below relate to a problem in geophysics: there, one wants to compute the flow field of @@ -578,7 +578,7 @@ surface that sucks material all the way to the top surface to fill the gap left by the outward motion of material at this location. -

Implementation

+

Implementation

The program developed below has seen a lot of TLC. We have run it over and over under profiling tools (mainly