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New multigrid solver advances in TOPS

R D Falgout1, J Brannick2, M Brezina2, T Manteuffel2 and S McCormick2

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In 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.


PACS

02.30.Jr Partial differential equations

05.60.-k Transport processes

89.20.Ff Computer science and technology

12.38.-t Quantum chromodynamics

Subjects

Mathematical physics

Particle physics and field theory

Statistical physics and nonlinear systems

Dates

Issue 1 (2005)



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