Stabilized approximate inverse preconditioning based on A-orthogonalization process for parallel finite element analysis

Stabilized approximate inverse preconditioning based on A-orthogonalization process for parallel finite element analysis

Improved Stabilized Approximate Inverse (ISAINV) based on A-orthogonalization process is known as an effective preconditioning technique for the conjugate gradient (CG) method to solve highly ill-conditioned linear systems. This research aims to accelerate the convergence of the finite element analy...

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Veröffentlicht in:JSIAM Letters 2016, Vol.8, pp.25-28
Hauptverfasser: Morita, Naoki, Hashimoto, Gaku, Okuda, Hiroshi
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Sprache:eng
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incomplete factorization
parallel finite element method
preconditioned conjugate gradient method
sparse approximate inverse
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creator Morita, Naoki
Hashimoto, Gaku
Okuda, Hiroshi
description Improved Stabilized Approximate Inverse (ISAINV) based on A-orthogonalization process is known as an effective preconditioning technique for the conjugate gradient (CG) method to solve highly ill-conditioned linear systems. This research aims to accelerate the convergence of the finite element analysis of shell structures by preserving the sparsity in the preconditioning matrix and by parallelizing the localized process of ISAINV preconditioning. In the numerical results, the proposed ISAINV preconditioner shows better convergence and faster computational time than the conventional preconditioning.
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subjects incomplete factorization
parallel finite element method
preconditioned conjugate gradient method
sparse approximate inverse
title Stabilized approximate inverse preconditioning based on A-orthogonalization process for parallel finite element analysis
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