TY  - EJOU
AU  - Ju, S.H. 

TI  - A Simple OpenMP Scheme for Parallel Iteration Solvers in Finite Element Analysis
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 64
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Finite element method
KW  -  ILU
KW  -  OpenMP
KW  -  Parallel
KW  -  Preconditioned conjugate gradient methods
KW  -  Shared memory computers
KW  -  SSOR

DO  - 10.3970/cmes.2010.064.091