### 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) |
---|---|

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 |

### Fingerprint

### 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

- Mechanical Engineering
- Mechanics of Materials
- Materials Science(all)

### Cite this

*WSEAS Transactions on Applied and Theoretical Mechanics*,

*6*(1), 37-47.

**Parallel-sparse symmetrical/unsymmetrical Finite Element Domain Decomposition solver with multi-point constraints for structural/acoustic analysis.** / Tungkahotara, Siroj; Watson, Willie R.; Nguyen, Duc T.; Rajan, Subramaniam.

Research output: Contribution to journal › Article

*WSEAS Transactions on Applied and Theoretical Mechanics*, vol. 6, no. 1, pp. 37-47.

}

TY - JOUR

T1 - Parallel-sparse symmetrical/unsymmetrical Finite Element Domain Decomposition solver with multi-point constraints for structural/acoustic analysis

AU - Tungkahotara, Siroj

AU - Watson, Willie R.

AU - Nguyen, Duc T.

AU - Rajan, Subramaniam

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Acoustic/Structural Engineering Applications

KW - Domain Decomposition Solver

KW - Finite Element Analysis

KW - Iterative Algorithms

KW - Multi-Point Constraints

KW - Parallel Computation

KW - Sparse Assembly

KW - Sparse Factorization

KW - Symmetrical/Unsymmetrical Simultaneous Linear Equation

UR - http://www.scopus.com/inward/record.url?scp=79957699920&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957699920&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 37

EP - 47

JO - WSEAS Transactions on Applied and Theoretical Mechanics

JF - WSEAS Transactions on Applied and Theoretical Mechanics

SN - 1991-8747

IS - 1

ER -