Send mail to: mgnet@cs.yale.edu for the digests or bakeoff mgnet-requests@cs.yale.edu for comments or help Current editor: Craig Douglas douglas-craig@cs.yale.edu Anonymous ftp repository: casper.cs.yale.edu (128.36.12.1) Today's editor: Craig Douglas (douglas-craig@cs.yale.edu) Volume 3, Number 4 (April 30, 1993) Today's topics: Important Dates LaTeX starter kit for NASA Proceedings of the 6th Copper Mountain Conf. Papers by Pasciak et el September'92 GAMM Seminar on multigrid methods Latex smoothing-factor manuscript ------------------------------------------------------- Date: Thu, 30 Apr 1993 10:52:43 -0400 From: douglas-craig ("Craig C. Douglas") Subject: Editorial (the first in 21 issues) This year there will be many multigrid papers written, thanks to the Copper Mountain and European multigrid conferences and the yearly domain decomposition meeting. In a period where funding is being scrutinized more and jobs are scarser than in most years, I would like to point out that having a more generous list of citations could help our field as a whole. It has been quite common in the past for a good theorem to be proven in slightly different forms by 3 or 4 groups at about the same time. Citing all of them helps our field. Also, if a new theorem is proven that extends an older theorem incrementally, citing the new one is not always correct if its new features are not used in your paper. However, citing both helps our field. One of the black marks in our field is that a new school of multigrid starts, writes a few papers, and then only cites their own works thereafter. Multigrid is by no means unique to this. However, it means that no other group has any motivation to cite the new school's papers (ever, by the way). All of us are aware that the Citations Index is both our friend and foe at times. A simple use of a computer is to search the CD version of the index using a structured query language. Find all of the citations to an author, delete all that came from people who ever wrote a paper or studied under the author, and look at the total. This is sometimes referred to as the number of "unbiased citations" (there are also less flattering terms for this). Doing this type of search is utterly trivial and is being done I am sorry to report. It also means that citations coming from other groups are much more important to your career than citations from people you regularly (or even occasionally) write papers with. During one 2 year period, I looked up or received reprints of over 300 journal papers with multigrid or multilevel as a key word. Roughly 85% of the citations were for the books of either Hackbusch [1] or Briggs [2] (this is in order of quantity of citations). Journal articles were approximately 8%. I would like to see the 8% number increase in the next two years. Finally, I would like to never again hear a professor inform one of his students that it is not a good idea politically to cite someone's nearly identical multigrid or domain decomposition results. This advice to a student is destructive, not constructive. I am not asking any of you to violate any of your principals. I am asking some of you to change yours, however. In the long run, members of our field will benefit by improved citations. [1] W. Hackbusch, Multigrid Methods and Applications, Springer-Verlag, Berlin, 1985. [2] W. L. Briggs, A Multigrid Tutorial, SIAM books, Philadelphia, 1987. ------------------------------------------------------- Date: Thu, 29 Apr 1993 16:10:34 -0400 From: douglas-craig ("Craig C. Douglas") Subject: Important Dates 7th Domain Decomposition Conference: May 15th for 1 page abstracts (please send to ddm7@math.psu.edu). 6th Copper Mountain Conference: May 7th for revisions to the accepted papers (please download to casper.cs.yale.edu). ------------------------------------------------------- Date: Thu, 29 Apr 1993 16:05:46 -0400 From: douglas-craig ("Craig C. Douglas") Subject: LaTeX starter kit for NASA Proceedings of the 6th Copper Mountain Conf. This was donated by one of the conference attendees. I claim no credit for it (nor does the submitter either). I am using it myself, so I can attest to the fact that it works. Please fill in the title, address and grant information, and the body of the paper. This is not a style file, but would be your LaTeX file (I called mine douglas_nasa.tex). A copy of this can be ftp'ed from MGNet (mgnet/copper93/NASA.tex). Please download papers to the directory mgnet/incoming/your_last_name and then send me e-mail that it is there. If you download a LaTeX paper (.tex file), NASA will not have to type the page numbers in on a typewriter (are these things actually made anymore?). If you submit a PostScript or .dvi file, please do not put page numbers in (except maybe in pencil very lightly). Good luck, Craig Douglas %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % The following is a LaTeX version of a paper % % for the Sixth Copper Mountain Conference on % % Multigrid Methods % % % % Blank lines count here. % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \documentstyle[12pt]{article} \topmargin=-.59375in \textheight=9.1875in \oddsidemargin=-.3in \textwidth=7.1in \pagestyle{empty} \renewcommand{\thefootnote}{\fnsymbol{footnote}} \newtheorem{thm}{Theorem} \newtheorem{define}{Definition} \newtheorem{cor}[thm]{Corollary} \newtheorem{lem}[thm]{Lemma} \newenvironment{Algorithm}{\begin{algorithm}\begin{description} }{\end{description}\end{algorithm}} \newtheorem{algorithm}{Algorithm} \newcommand{\thmref}[1]{Theorem~\ref{#1}} \newcommand{\assref}[1]{Assumption~\ref{#1}} %\newcommand{\secref}[1]{\S\ref{#1}} \newcommand{\secref}[1]{Section~\ref{#1}} \newcommand{\lemref}[1]{Lemma~\ref{#1}} \def\proof{\par{\it Proof}. \ignorespaces} \def\endproof{{\ \vbox{\hrule\hbox{% \vrule height1.3ex\hskip0.8ex\vrule}\hrule }}\par} \renewcommand{\section}[1]{\vglue.3in \noindent ~ \hfill #1 \hfill ~ \vglue.3in} \renewcommand{\subsection}[1]{\vglue.3in \noindent ~ \hfill #1 \hfill ~ \vglue.3in} \begin{document} \vglue.4in \noindent ~\hfill THE FIRST LINE OF THE TITLE\hfill ~ \noindent ~\hfill AND THE SECOND HERE\footnote{This work was supported in part by the International Multigrid Foundation under Grant No. IMG-0000001.} \hfill ~ \vglue.3in \noindent ~ \hfill Sue Donim\hfill ~ \noindent ~ \hfill Department of Multiple Grids\hfill ~ \noindent ~ \hfill Multilevel University\hfill ~ \noindent ~ \hfill Copper Mountain, Colorado \hfill ~ \section{SUMMARY} \raggedright \parindent=.2in In this article, we consider the application ... \section{INTRODUCTION} We consider the convergence properties of ... \def\thebibliography#1{\section{{REFERENCES}}\list {[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin\labelwidth \advance\leftmargin\labelsep \usecounter{enumi}} \def\newblock{\hskip .11em plus .33em minus .07em} \sloppy\clubpenalty4000\widowpenalty4000 \sfcode`\.=1000\relax} \let\endthebibliography=\endlist \bibliography{mg} \bibliographystyle{unsrt} \end{document} ------------------------------------------------------- Date: Fri, 2 Apr 93 09:37:17 EST From: pasciak@jep.das.bnl.gov (Joe Pasciak) Subject: Papers by Pasciak et al Alright! You finally shamed me into doing it. I put abstracts and ps files into mgnet. These include my paper for my copper mountain presentation as well as five other reprints. Editor's Note: Thank you, Joe... ------------- in mgnet/papers/Pasciak_et_al (initially) mgnet/copper93/bramble_kwak_pasciak.ps FILE :: bgp1.ps bgp1.abs @article{JHBramble_CIGoldstein_JEPasciak_93, author = "J. H. Bramble and C. I. Goldstein and J. E. Pasciak", title = "Analysis of V--cycle multigrid algorithms for forms defined by numerical quadrature", journal = "SIAM J. Sci. Stat. Comput. (to appear) also Brookhaven Nat. Lab. Tech. #BNL-47533" } FILE :: bpxdd.ps bpxdd.abs @incollection{JHBramble_JEPasciak_JXu_92, author = "J. H. Bramble and J. E. Pasciak and J. Xu", title = "A multilevel preconditioner for domain decomposition boundary systems", booktitle = "Proceedings of the 10'th Inter. Conf. on Comput. Meth. in Appl. Sci. and Engr.", publisher = "Nova Sciences", address = "New York", year = "1992" } FILE :: bpl.ps bpl.abs @article{JHBramble_ZLeyk_JEPasciak_93, author = "J. H. Bramble and Z. Leyk and J. E. Pasciak", title = "The analysis of multigrid algorithms for pseudo-differential operators of order minus one", journal = "Math. Comp..", pages = "Brookhaven Nat. Lab. #BNL-47335 " } FILE :: bpreg.ps bpreg.abs @article{JHBramble_JEPasciak_92, author = "J. H. Bramble and J. E. Pasciak", title = "Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity", publisher = "Brookhaven Nat. Lab. #BNL-47892", year = "1992" } FILE :: bpv.ps bpv.abs @article{JHBramble_JEPasciak_93, author = "J. H. Bramble and J. E. Pasciak", title = "New estimates for multigrid algorithms including the V-cycle", journal = " Math. Comp.(to appear) also Brookhaven Nat. Lab. #BNL-46730", } ------------------------------------------------------- Date: Wed, 7 Apr 1993 16:40:46 +0200 From: FUHRMANN@IAAS-BERLIN.DBP.de Subject: September'92 GAMM Seminar on multigrid methods Organized by the Institute of Applied Analysis and Stochastics (IAAS) Berlin and supported the German GAMM, a Seminar on multigrid methods took place in Gosen near Berlin in September, 1992. Among the participants were U.Langer (Chemnitz), V.V.Shaidurov (Krasnoyarsk), Yu.A.Kuznetsov (Moscow), L.Tobiska (Magdeburg) U.Ruede and M.Griebel (Munich). This seminar continued the tradition of the GDR multigrid seminars mainly inspired by U.Langer. Now, a report on this seminar is ready, it exists in paper form in the preprint series of the IAAS institute and can be ordered from preprint@iaas-berlin.dbp.de or Institut fuer Angewandte Analysis und Stochastik (IAAS) Hausvogteiplatz 5-7 D-O-1086 Berlin (D-10117 Berlin after July 1st, 1993) Germany fax: +49 (030) 2004975 Here, I only want to announce the contents of this report, because it has been produced in a rather heterogeneous way: GAMM - Seminar on Multigrid Methods Gosen, Germany, September 21 - 25, 1992 S.Hengst (ed.) IAAS Berlin, Report No. 5, 1993 J.Fuhrmann (Berlin): Calculation of saturated - unsaturated flow in porous media with a Newton - multigrid method J.Molenaar (Delft): Multigrid for a groundwater flow problem O.Dorok and L.Tobiska (Magdeburg): A multigrid method for solving the non-isothermal incompressible Navier-Stokes equation W.Queck (Chemnitz/Freiberg): The Finite-Element-Multigrid-Package FEMGP - A software tool for solving boundary value problems on personal computers T.Steidten (Chemnitz): FEMGPM - a multilevel program for 2D problems R.Blaheta and R.Kohut (Ostrava): Inexact Newton-like methods with application in elasto-plastic incremental analysis M.Jung (Chemnitz): On adaptive grids in multilevel methods V.V.Shaidurov (Krasnoyarsk): New convergence estimates for the symmetric V-cycle U.Ruede (Muenchen): Data abstraction techniques for multilevel algorithms H.Regler (Muenchen): Algebraic multilevel methods in chip design E.Katzer (Kiel): A subspace decomposition twogrid method for hyperbolic equations Juergen Fuhrmann fuhrmann@iaas-berlin.dbp.de ------------------------------------------------------- Date: Wed, 14 Apr 93 13:48:45 MDT From: irad@neit.cgd.ucar.EDU (Irad Yavneh) Subject: Latex smoothing-factor manuscript Smoothing Factors of Two-Color Gauss-Seidel Relaxation for a Class of Elliptic Operators Irad Yavneh NCAR Oceanography & GTP Abstract Analytic formulae are obtained for the smoothing factors yielded by Gauss-Seidel relaxation in two-color ordering for a class of scalar elliptic operators. Block and point relaxation, in conjunction with full or partial coarsening are encompassed, for operators with general (constant, positive) coefficients in general dimensions and arbitrary number of relaxation sweeps. It is found that there is no direct dependence of the dimension on the smoothing factors, and that the effect of the number of relaxation sweeps performed on the smoothing factor is usually independent of the coefficients in the operator and of the relaxation scheme. The results are compared to computed results of two-level analyses. Smoothing strategies implied by the formulae are discussed. Editor's Note: mgnet/papers/Yavneh/smoothing.tex ------------- mgnet/papers/Yavneh/smoothing.abs ------------------------------ End of MGNet Digest **************************