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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:

Computer Modeling in Engineering & Sciences 2010, 64(1), 91-109.


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.


Cite This Article

Ju, S. (2010). A Simple OpenMP Scheme for Parallel Iteration Solvers in Finite Element Analysis. CMES-Computer Modeling in Engineering & Sciences, 64(1), 91–109.

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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