Domain Decomposition Tutorial Background Papers

In preparation for the tutorial on Domain Decomposition Methods, 17-18 July 2003, in conjunction with the 15th International Conference on Domain Decomposition Methods, registrants may wish to peruse the following papers. (It will not be assumed that registrants have read these papers, and not everything in them will be covered; they are offered simply as optional preparation.)

David Keyes is giving four lectures as part of the tutorial; there is a section of this bibliography that corresponds (very roughly) to each lecture. In each section, pdfs from three papers from the research group of Gropp & Keyes, that spans Argonne National Laboratory, Old Dominion University, and many collaborators elsewhere, are linked for easy download. If participants wish, the authors would be happy to discuss these papers during the laboratory and discussion sessions Thursday and Friday afternoons.

As is inevitable, because of subject matter is interdisciplinary and because there is always demand for producing chapters for proceedings of conferences that happen too frequently to have new material for each instance, there is much overlap between the papers that are linked here.

The entire tutorial will have a very applied tone, concentrating on algorithms and software, not on theory. However, there are pointers to theory in the very practical book Domain Decomposition: Parallel Multilevel Methods for Elliptic PDES, by Barry Smith, Petter Bjorstad, and William Gropp, published by Cambridge University Press, 1996; ISBN 0-521-49589-X, which is also an excellent source of preparation for the tutorial, though a little out of date in the examples employed and the software references.