Date of Award

Spring 2008

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Civil & Environmental Engineering

Committee Director

Duc T. Nguyen

Committee Member

Zia Razzaq

Committee Member

Gene Hou

Committee Member

Chuh Mei

Abstract

MPI/FORTRAN finite element analysis software based on Domain Decomposition (DD) formulas has been developed in this work. Efficient input data storage/data communication schemes, domain partitioning, fast symbolical and numerical sparse assembly, symmetrical/unsymmetrical sparse solver and robust symmetrical/unsymmetrical iterative solvers algorithms are all incorporated into the developed code. Parallel Precondition Conjugated Gradient (PCG) and Flexible Generalized Minimum Residual (FGMRES) are developed. Efficient computational techniques used in the developed code are explained. Numerical performance and the accuracy of the developed code are conducted on acoustic examples with medium to large grid sizes. The results obtained from ODU Wilbur cluster (under parallel processing computer environments) have revealed the super-linear speedup in 3-D symmetrical acoustic examples. The robustness and the minimum in-core memory usage of the code are also observed.

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DOI

10.25777/tqm7-mq28

ISBN

9780549680895

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