Initiative in Innovative Computing @ Harvard
Seminar Series
Friday, May 11, 2007; 11:00am
Location: Maxwell Dworkin G125, 33 Oxford Street
David Keyes, Fu Foundation Professor of Applied Mathematics, Columbia
University
Seminar Title:
Scalable Solver Infrastructure for Multirate, Multiscale PDE
Applications
Abstract
Optimal complexity algebraic preconditioners, such as multigrid/
multilevel preconditioners for PDE-governed problems, keep the time
spent in dominant algebraic kernels close to linear as the
applications scale out to the limit of currently available parallel
computers (e.g., BlueGene/L with 131,072 (2**17) processors). Krylov
accelerators and Jacobian-free variants of Newton's method, as
appropriate, are wrapped outside to deliver robustness in multirate,
multiscale coupled systems, which are solved either implicitly or in
more traditional forms of operator splitting. The Towards Optimal
Petascale Simulations (TOPS,
www.scidac.org/math/TOPS.html) project,
directed by the speaker, is sponsored by the U.S. Department of
Energy to research and deploy a collection of open-source scalable
solver software components (PETSc, Hypre, SuperLU, etc.) for discrete
problems arising in several large-scale applications, for instance,
fusion reactor modeling and design.
As the U.S. fusion energy community gears up for participation in the
International Thermonuclear Experimental Reactor (ITER) consortium,
the ultimate goal of which is abundant energy production outside of
the planetary carbon cycle, simulations on petascale hardware are
expected to play an essential role.
We outline the TOPS software philosophy and research agenda and
illustrate with a progression of five applications in DOE's
magnetically confined fusion energy portfolio, ranging from swapping
software through a standard interface to prototyping new codes.
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