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Volume 15, Issue 3
The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element

M. Wang & S. Zhang

J. Comp. Math., 15 (1997), pp. 193-202.

Published online: 1997-06

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  • 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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@Article{JCM-15-193, author = {M. Wang and S. Zhang}, title = {The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9199.html} }
TY - JOUR T1 - The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element AU - M. Wang & S. Zhang JO - Journal of Computational Mathematics VL - 3 SP - 193 EP - 202 PY - 1997 DA - 1997/06 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9199.html KW - AB -

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.

M. Wang and S. Zhang. (1997). The Optimal Preconditioning in the Domain Decomposition Method for Wilson Element. Journal of Computational Mathematics. 15 (3). 193-202. doi:
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