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A Parallel Algebraic Multigrid Preconditioner Using Algebraic Multicolor Ordering for Magnetic Finite Element Analyses

PublisherJohn von Neumann Institute for Computing
Format183.4KB PDFDate added01 Dec 2006
Topics Parallel Processing
Downloads3

Recently, Finite Element (FE) analyses of magnetic fields have played a major role in the design of various electromagnetic machines. In the analyses, most computation time is consumed by the solution of large-scale sparse linear systems of equations derived from FE formulations. Algebraic Multigrid (AMG) techniques are known to be good preconditioners that efficiently accelerate the convergence of basic iterative methods for linear systems of equations with sparse matrices. This paper studies parallel processing of the AMG preconditioner for FE analyses with coloring strategies. In parallelization of the AMG preconditioner, it is important to devise parallelization of the smoother. Since AMG techniques have been developed as black-box multigrid solvers, it is desirable that parallel processing does not destroy the black-box property of the AMG techniques.

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