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Parallel Finite Element Computation Based on Coarse-Fine Mesh Formulation

Chaojiang Fu

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Abstract

A parallel preconditioned conjugate gradient iterative algorithm for finite element problems with coarse-mesh/fine-mesh formulation is presented in this paper. An efficient preconditioner is derived from the multigrid stiffness matrix. The algorithm is implemented on a cluster of workstation. Example of solution of simple linear elastic problem on rectangular grids is presented and parallel performance is discussed.

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What this paper is about

A parallel preconditioned conjugate gradient iterative algorithm for finite element problems with coarse-mesh/fine-mesh formulation is presented in this paper. An efficient preconditioner is derived from the multigrid stiffness matrix. The algorithm is implemented on a cluster of workstation. Example of solution of simple linear elastic problem on rectangular grids is presented and parallel performance is discussed.

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Available abstract

A parallel preconditioned conjugate gradient iterative algorithm for finite element problems with coarse-mesh/fine-mesh formulation is presented in this paper. An efficient preconditioner is derived from the multigrid stiffness matrix. The algorithm is implemented on a cluster of workstation. Example of solution of simple linear elastic problem on rectangular grids is presented and parallel performance is discussed.

Key concepts: Preconditioner, Conjugate gradient method, Multigrid method, Finite element method, Computational science, Computer science, Stiffness matrix, Computation

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