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Parallel Preconditioned Conjugate Gradient Methods for Structural Analysis Problems with Multiple Loadings

Made Suarjana, Kincho H. Law

Abstract

This paper describes the use of conjugate gradient method for finite element problems with multiple loading cases. Specifically, we introduce a modified conjugate gradient method for the solution of a system of linear equations with multiple right hand sides. The performance of the method as compared to a direct solution method and to a block conjugate gradient method on a parallel MIMD Hypercube computer is discused in this paper.

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Available abstract

Key concepts: Conjugate gradient method, Conjugate residual method, Biconjugate gradient method, Derivation of the conjugate gradient method, Biconjugate gradient stabilized method, Conjugate, MIMD, Finite element method