Open Access

ARTICLE

Fast Parallel Finite Element Approximate Inverses

G.A. Gravvanis, K.M. Giannoutakis¹

1 Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, 12, Vas. Sofias street, GR 671 00 Xanthi, Greece; Email:{ggravvan; kgiannou}@ee.duth.gr

Computer Modeling in Engineering & Sciences 2008, 32(1), 35-44. https://doi.org/10.3970/cmes.2008.032.035

Abstract

A new parallel normalized optimized approximate inverse algorithm, based on the concept of the ``fish bone'' computational approach with cyclic distribution of the processors satisfying an antidiagonal data dependency, for computing classes of explicit approximate inverses, is introduced for symmetric multiprocessor systems. The parallel normalized explicit approximate inverses are used in conjunction with parallel normalized explicit preconditioned conjugate gradient square schemes, for the efficient solution of finite element sparse linear systems. The parallel design and implementation issues of the new proposed algorithms are discussed and the parallel performance is presented, using OpenMP.

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Keywords

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