SEMINAR David E. Keyes Director, Center for Computational Science and Richard F. Barry Professor of Mathematics and Statistics, Old Dominion University Monday, March 4, 2002 3:35-4:35 p.m., 214 Ayres Hall (preceded by reception and refreshments at 3:00 p.m. in 119 Ayres Hall) Domain Decomposition in the Mainstream of Computational Science Abstract: Over the past two decades, domain decomposition has grown from an elegant mathematical technique to the dominant paradigm of large-scale scientific simulation for systems governed by partial differential equations. Two major families of domain decomposition methods -- Newton-Krylov-Schwarz and FETI- DP -- have been scalably employed on the ASCI platforms of the U.S. Department of Energy for mechanics problems, up to several thousand processors. One of the many scientific software projects intent on "packaging" the fruits of research in domain decomposition methods for mainstream computational scientists is a five-year, nine-institution "Terascale Optimal PDE Simulations Integrated Software Infrastructure Center," a component of DOE's new Scientific Discovery through Advanced Computing (SciDAC) initiative. The speaker, who serves as the TOPS project lead, will review the current algorithmic state of the art, outline the philosophy and goals of the center, and highlight some of the research challenges ahead, in algorithms and in software.