The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element

The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element

Year:    1997

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 193–202

Abstract

This paper discusses the optimal preconditioning in the domain decomposition method for Wilson element. The process of the preconditioning is composed of the resolution of a small scale global problem based on a coarser grid and a number of independent local subproblems, which can be chosen arbitrarily. The condition number of the preconditioned system is estimated by some characteristic numbers related to global and local subproblems. With a proper selection, the optimal preconditioner can be obtained, while the condition number is independent of the scale of the problem and the number of subproblems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1997-JCM-9199

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 193–202

Published online:    1997-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords: