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 language | English (US) |
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Pages (from-to) | 37-47 |
Number of pages | 11 |
Journal | WSEAS Transactions on Applied and Theoretical Mechanics |
Volume | 6 |
Issue number | 1 |
State | Published - 2011 |
Keywords
- Acoustic/Structural Engineering Applications
- Domain Decomposition Solver
- Finite Element Analysis
- Iterative Algorithms
- Multi-Point Constraints
- Parallel Computation
- Sparse Assembly
- Sparse Factorization
- Symmetrical/Unsymmetrical Simultaneous Linear Equation
ASJC Scopus subject areas
- Computational Mechanics
- Civil and Structural Engineering
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes