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A Simple OpenMP Scheme for Parallel Iteration Solvers in Finite Element Analysis

S.H. Ju1

Department of Civil Engineering, National Cheng-Kung University, Tainan, Taiwan, R.O.C. Phone number: 886-6-2757575-63119; Fax number: 886-6-2358542; Email: juju@mail.ncku.edu.tw

Computer Modeling in Engineering & Sciences 2010, 64(1), 91-109. https://doi.org/10.3970/cmes.2010.064.091

Abstract

This study develops an OpenMP scheme to parallel the preconditioned conjugate gradient methods (PCG) in shared memory computers. The proposed method is simple and systematic, so a minor change in traditional PCG methods may produce effective parallelism. At first, the global stiffness matrix is re-numbered in order to produce a parallel three-line form matrix, and a subroutine only needs to be called once in the finite element analysis. Several basic OpenMP commands are then added into the traditional incomplete Cholesky factorization (ILU) and symmetric successive over-relaxation (SSOR) codes to make the procedures of matrix multiplication, decomposition, forward substitution, and backward substitution fully parallel.

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Cite This Article

APA Style
Ju, S. (2010). A simple openmp scheme for parallel iteration solvers in finite element analysis. Computer Modeling in Engineering & Sciences, 64(1), 91-109. https://doi.org/10.3970/cmes.2010.064.091
Vancouver Style
Ju S. A simple openmp scheme for parallel iteration solvers in finite element analysis. Comput Model Eng Sci. 2010;64(1):91-109 https://doi.org/10.3970/cmes.2010.064.091
IEEE Style
S. Ju, “A Simple OpenMP Scheme for Parallel Iteration Solvers in Finite Element Analysis,” Comput. Model. Eng. Sci., vol. 64, no. 1, pp. 91-109, 2010. https://doi.org/10.3970/cmes.2010.064.091



cc Copyright © 2010 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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