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Fast Parallel Finite Element Approximate Inverses

G.A. Gravvanis, K.M. Giannoutakis1

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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APA Style
Gravvanis, G., Giannoutakis, K. (2008). Fast parallel finite element approximate inverses. Computer Modeling in Engineering & Sciences, 32(1), 35-44. https://doi.org/10.3970/cmes.2008.032.035
Vancouver Style
Gravvanis G, Giannoutakis K. Fast parallel finite element approximate inverses. Comput Model Eng Sci. 2008;32(1):35-44 https://doi.org/10.3970/cmes.2008.032.035
IEEE Style
G. Gravvanis and K. Giannoutakis, “Fast Parallel Finite Element Approximate Inverses,” Comput. Model. Eng. Sci., vol. 32, no. 1, pp. 35-44, 2008. https://doi.org/10.3970/cmes.2008.032.035



cc Copyright © 2008 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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