From: Timo Heister Date: Thu, 16 Mar 2017 13:34:58 +0000 (-0400) Subject: add a blurb about tutorials X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=ea7b928ed38ff53782e64f4d46d458c71d5e7139;p=release-papers.git add a blurb about tutorials --- diff --git a/8.5/paper.tex b/8.5/paper.tex index fa3bc5e..414fdc3 100644 --- a/8.5/paper.tex +++ b/8.5/paper.tex @@ -254,6 +254,7 @@ delayed evaluation offered by \texttt{PackagedOperation}s, reused on any number of vector systems. \subsection{The physics module} +\label{sec:physics} A dedicated physics module has been created to facilitate the implementation of functions and classes that relate to continuum mechanics, @@ -473,6 +474,36 @@ matrices are calculated only once, namely the first time coefficients are requested on a cell with the given finite element. The step-27 has been updated to use \verb|FESeries::Fourier|. +\subsection{New and updated tutorial programs} + +\begin{itemize} + \item {\bf step-55} is a new tutorial that explains how to solve the Stokes + equations efficiently in parallel. It is a good introduction to solving + systems of PDEs in parallel, discusses optimal block + preconditioners, and demonstrates other aspects like error computation. + Inverses of individual blocks of the linear system are approximated with an algebraic + multigrid preconditioner. + + \item {\bf step-56} is a new tutorial that shows how to apply geometric multigrid + preconditioners on a subset of a system of PDEs. The problem solved here is the + Stokes equations, like in step-55. + + \item {\bf step-57} is a new tutorial that solves the stationary Navier-Stokes equations. + The nonlinear system is solved using Newton's method on a sequence of adaptively refined + grids. The preconditioner is again built on a block factorization of the saddle point + system like in step-55 and step-56, but the non-symmetric terms stemming from the + nonlinear convective part requires more sophisticated solvers. The benchmark problem, + flow in the 2d lid-driven cavity, requires a continuation method for high Reynold's + numbers. + + \item {\bf step-37}, discussing matrix-free computations of the + Poisson equation, has been rewritten to support parallel computations. + + \item {\bf step-44} now uses the physics module, discussed in Section~\ref{sec:physics}, + to solve a solid mechanics problem. + \end{itemize} + + \subsection{Matrix-free operators} In order to facilitate the usage of matrix-free methods, a