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Scalable Multigrid Solvers
Ray Tuminaro, Jonathan Hu, Chris Siefert
Overview
- ML: algebraic multigrid project in Trilinos for solving Ax=b
- Capabilities: classical elliptic, magnetics, convection-dominated
- Accomplishments: new magnetics reformulation (1), AMG for nonsymmetric problems (2)
Magnetics Reformulation
- Exact reformulation, Laplace-dominated system
- Special AMG for fine level only
- Standard AMG for other levels
- Insensitive to jumps in
 (conductivity)
Relevance
Red Storm Weak Scaling
More information about the software and relevant publications can be
found at http://trilinos.sandia.gov/packages/ml
(1) An AMG approach based on a compatible gauge reformulation of Maxwell’s equations, Bochev, H, S & T, submitted
(2) A new Petrov-Galerkin smoothed aggregation preconditioner for nonsymmetric linear systems, Sala & T, submitted
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