New multigrid solver advances in TOPS
2005; IOP Publishing; Volume: 16; Linguagem: Inglês
10.1088/1742-6596/16/1/061
ISSN1742-6596
AutoresRobert D. Falgout, James Brannick, Marian Brezina, Thomas A. Manteuffel, Steve McCormick,
Tópico(s)Advanced Numerical Methods in Computational Mathematics
ResumoIn this paper, we highlight new multigrid solver advances in the Terascale Optimal PDE Simulations (TOPS) project in the Scientific Discovery Through Advanced Computing (SciDAC) program. We discuss two new algebraic multigrid (AMG) developments in TOPS: the adaptive smoothed aggregation method (αSA) and a coarse-grid selection algorithm based on compatible relaxation (CR). The αSA method is showing promising results in initial studies for Quantum Chromodynamics (QCD) applications. The CR method has the potential to greatly improve the applicability of AMG.
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