Document Type

Article

Publication Date

2011

Publication Title

WSEAS Transactions on Applied and Theoretical Mechanics

Volume

6

Issue

1

Pages

37-47

Abstract

Details of parallel-sparse Domain Decomposition (DD) with multi-point constraints (MPC) formulation are explained. Major computational components of the DD formulation are identified. Critical roles of parallel (direct) sparse and iterative solvers with MPC are discussed within the framework of DD formulation. Both symmetrical and unsymmetrical system of simultaneous linear equations (SLE) can be handled by the developed DD formulation. For symmetrical SLE, option for imposing MPC equations is also provided.

Large-scale (up to 25 million unknowns involving complex numbers) structural and acoustic Finite Element (FE) analysis are used to evaluate the parallel computational performance of the proposed DD implementation using different parallel computer platforms. Numerical examples show that the authors' MPI/FORTRAN code is significantly faster than the commercial parallel sparse solver. Furthermore, the developed software can also conveniently and efficiently solve large SLE with MPCs, a feature not available in almost all commercial parallel sparse solvers.

Original Publication Citation

Tungkahotara, S., Watson, W. R., Nguyen, D. T., & Rajan, S. D. (2011). Parallel-sparse symmetrical/unsymmetrical finite element domain decomposition solver with multi-point constraints for structural/acoustic analysis. WSEAS Transactions on Applied and Theoretical Mechanics, 6(1), 37-47.