/
20120327-Copper.tex
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20120327-Copper.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=100}
}
\usepackage[english]{babel}
\usepackage[latin1]{inputenc}
\usepackage{textpos,alltt,listings,multirow,ulem,siunitx}
\usepackage{pdfpages}
\usepackage{multimedia}
\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,trees,mindmap,backgrounds]
% \usepackage{pgfpages}
% \pgfpagesuselayout{4 on 1}[a4paper,landscape,border shrink=5mm]
\usepackage{JedMacros}
\title{Commuting block preconditioning with multigrid}
\author{{\bf Jed Brown}\inst{1},\\
Mark Adams\inst{2}, Peter Brune\inst{1}, Matt Knepley\inst{3}, Dave May\inst{4}, \\ Lois Curfman McInnes\inst{1}, 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}{Columbia University} \\
\inst{3}{Computation Institute, University of Chicago} \\
\inst{4}{ETH Z\"urich}
}
\date{Copper Mountain 2012-03-27}
% 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/MultiphysicsAssemblyJacobians.tex}
\input{slides/PETSc/MatGetLocalSubMatrix.tex}
\input{slides/Stokes/OptionsTour.tex}
\input{slides/Stokes/CoupledMGOptions.tex}
\input{slides/PETSc/RediscretizedMultigrid.tex}
\input{slides/SNES/MonolithicFASMultistage.tex}
\input{slides/SNES/NonlinearSolversList.tex}
\input{slides/SNES/QuasiNewtonRevisited.tex}
\input{slides/DrunkenSeaman.tex}
\setbeamertemplate{background canvas}{}
\includepdf[pages=1-3]{davemay.pdf}
\input{slides/VHTEquationsSimple.tex}
\input{slides/VHTSolvers.tex}
%\input{slides/VHTSolverOptions.tex}
\input{slides/Dohp/TensorVsAssembly.tex}
\input{slides/AllenCahnOptions.tex}
\input{slides/PETSc/TSARKIMEX.tex}
\begin{frame}{Outlook on Solver Composition}
\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).
\item Similar infrastructure extends to nonlinear methods
\end{itemize}
\begin{block}{In development}
\begin{itemize}
\item Distributive relaxation, Vanka smoothers, coarsening for ``dual'' variables
\item Improving operator-dependent semi-geometric multigrid
\item More automatic spectral analysis and smoother optimization
\item Automated support for mixing analysis into levels
\item Nonlinear change of basis for preconditioner
\item IMEX time stepping with FAS
\end{itemize}
\end{block}
\end{frame}
\end{document}