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

Siroj Tungkahotara, Willie R. Watson, Duc T. Nguyen, Subramaniam Rajan

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)37-47
Number of pages11
JournalWSEAS Transactions on Applied and Theoretical Mechanics
Volume6
Issue number1
StatePublished - 2011

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Acoustics
Decomposition
Linear equations
Finite element method

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

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title = "Parallel-sparse symmetrical/unsymmetrical Finite Element Domain Decomposition solver with multi-point constraints for structural/acoustic analysis",
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.",
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AU - Rajan, Subramaniam

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