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2006 International Conference on Parallel Processing Workshops (ICPPW'06)
An Efficient Parallel Finite-Element-Based Domain Decomposition Iterative Technique With Polynomial Preconditioning
Columbus, Ohio
August 14-August 18
ISBN: 0-7695-2637-3
Yu Liang, University of Minnesota, USA
Ramdev Kanapady, University of Minnesota, USA
Kumar K. Tamma, University of Minnesota, USA
An efficient parallel finite element-based nonoverlapping domain decomposition iterative technique formulated with polynomial preconditioned GMRES method is presented. Unlike the standard row-oriented partitioning of a matrix, the finite element based domain decomposition solver with polynomial preconditioning circumvents the assembly of matrix, reordering of matrix, redundant computations associated with the interface elements, numerical problems associated with local preconditioner, and costly global preconditioner construction. A dramatic reduction in parallel overhead both in terms of computation and communication results in a highly scalable solver. The parallel performance results for large-scale static and dynamic problems on the IBM SP2 and the SGI Origin are presented.
Index Terms:
GMRES, domain decomposition, distributed format, polynomial preconditioner, finite element, linear equations.
Citation:
Yu Liang, Ramdev Kanapady, Kumar K. Tamma, "An Efficient Parallel Finite-Element-Based Domain Decomposition Iterative Technique With Polynomial Preconditioning," icppw, pp.505-510, 2006 International Conference on Parallel Processing Workshops (ICPPW'06), 2006
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