SC is the International Conference for
 High Performnance Computing, Networking, Storage and Analysis

SCHEDULE: NOV 13-19, 2010

MueLu: Designing a New Multigrid Solver for the Trilinos Project

SESSION: Research Poster Reception

EVENT TYPE: Poster

TIME: 5:15PM - 7:00PM

AUTHOR(S):Jérémie Gaidamour, Jonathan J. Hu, Christopher M. Siefert, Ray S. Tuminaro

ROOM:Main Lobby

ABSTRACT:
Smoothed Aggregation (SA) multigrid is a widely used algorithm for the scalable solution of linear systems that are at the heart of many DOE parallel scientific computations. However, SA's cost grows unacceptably for problems involving multiple physics and large number of near-kernel components. This issue becomes more pronounced for stretched meshes large material variation, and higher dimensionality. To address SA's shortcomings, we have developed a new algorithm that allows explicit control of the grid transfer operators' sparsity patterns. This ensures low cost while tailoring performance for anisotropic problems. A key to the new algorithm is keeping good convergence by minimizing energies of grid transfer operators while capturing important near-kernel components. This algorithm is the basis of a new parallel multigrid solver in the Trilinos project. The solver will leverage the modern Trilinos software stack that abstracts the notion of a compute node in order to harness multi-core CPUs and GPUs.

Chair/Author Details:

Jérémie Gaidamour - Sandia National Laboratories

Jonathan J. Hu - Sandia National Laboratories

Christopher M. Siefert - Sandia National Laboratories

Ray S. Tuminaro - Sandia National Laboratories

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