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20120217-SIAMPPCommuting.tex
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20120217-SIAMPPCommuting.tex
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% \documentclass[handout]{beamer}
\documentclass{beamer}
\mode<presentation>
{
\usetheme{default}
\usefonttheme[onlymath]{serif}
% \usetheme{Singapore}
% \usetheme{Warsaw}
% \usetheme{Malmoe}
% \useinnertheme{circles}
% \useoutertheme{infolines}
% \useinnertheme{rounded}
\setbeamercovered{transparent=5}
}
\usepackage[english]{babel}
\usepackage[latin1]{inputenc}
\usepackage{textpos,alltt,listings,multirow,ulem,siunitx}
\usepackage{pdfpages}
\newcommand\hmmax{0}
\newcommand\bmmax{0}
\usepackage{bm}
% font definitions, try \usepackage{ae} instead of the following
% three lines if you don't like this look
\usepackage{mathptmx}
\usepackage[scaled=.90]{helvet}
% \usepackage{courier}
\usepackage[T1]{fontenc}
\usepackage{tikz}
\usetikzlibrary[shapes,shapes.arrows,arrows,shapes.misc,fit,positioning]
% \usepackage{pgfpages}
% \pgfpagesuselayout{4 on 1}[a4paper,landscape,border shrink=5mm]
\usepackage{JedMacros}
\title{Commuting Block Preconditioned Splitting with Multigrid within the Same Code Base}
\author{Jed Brown\inst{1}, Matt Knepley\inst{2}, Dave May\inst{3}, Barry Smith\inst{1}}
% - Use the \inst command only if there are several affiliations.
% - Keep it simple, no one is interested in your street address.
\institute
{
\inst{1}{Mathematics and Computer Science Division, Argonne National Laboratory} \\
\inst{2}{Computation Institute, University of Chicago} \\
\inst{3}{ETH Z\"urich}
}
\date{2012-02-17}
% This is only inserted into the PDF information catalog. Can be left
% out.
\subject{Talks}
% If you have a file called "university-logo-filename.xxx", where xxx
% is a graphic format that can be processed by latex or pdflatex,
% resp., then you can add a logo as follows:
% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
% \logo{\pgfuseimage{university-logo}}
% Delete this, if you do not want the table of contents to pop up at
% the beginning of each subsection:
% \AtBeginSubsection[]
% {
% \begin{frame}<beamer>
% \frametitle{Outline}
% \tableofcontents[currentsection,currentsubsection]
% \end{frame}
% }
\AtBeginSection[]
{
\begin{frame}<beamer>
\frametitle{Outline}
\tableofcontents[currentsection]
\end{frame}
}
% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:
% \beamerdefaultoverlayspecification{<+->}
\begin{document}
\lstset{language=C}
\normalem
\begin{frame}
\titlepage
\end{frame}
\input{slides/MultiphysicsExamples.tex}
\input{slides/MonolithicOrSplit.tex}
\input{slides/PETSc/Coupling.tex}
\input{slides/FieldSplit.tex}
\input{slides/PETSc/LocalSpaces.tex}
\input{slides/SNES/MultiphysicsAssemblyCode.tex}
\input{slides/PETSc/MatGetLocalSubMatrix.tex}
\input{slides/SNES/MonolithicFASMultistage.tex}
\setbeamertemplate{background canvas}{}
\includepdf[pages=1-3]{davemay.pdf}
\input{slides/VHTEquationsSimple.tex}
\input{slides/Dohp/TensorVsAssembly.tex}
\input{slides/VHTSolvers.tex}
\input{slides/VHTSolverOptions.tex}
\input{slides/Stokes/CoupledMGOptions.tex}
\input{slides/AllenCahnOptions.tex}
\begin{frame}{Outlook}
\begin{itemize}
\item Unintrusive composition of multigrid and block preconditioning
\item We can build many preconditioners from the literature \\
\emph{on the command line}
\item User code does not depend on matrix format, preconditioning method, nonlinear solution method, time integration method (implicit or IMEX), or size of coupled system (except for driver).
\end{itemize}
\begin{block}{In development}
\begin{itemize}
\item Distributive relaxation, Vanka smoothers
\item Algebraic coarsening of ``dual'' variables
\item Improving operator-dependent semi-geometric multigrid
\item More automatic spectral analysis and smoother optimization
\item Better interaction with IMEX time integration
\begin{itemize}
\item Additive Runge-Kutta, Rosenbrock-W, linear multistep
\item Composability with FAS
\item Possible parallel-in-time approaches
\end{itemize}
\end{itemize}
\end{block}
\end{frame}
\end{document}