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Volume 12, Issue 2
Preconditioning of the Stiffness Matrix of Local Refined Triangulation

Sheng Zhang

J. Comp. Math., 12 (1994), pp. 113-117.

Published online: 1994-12

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  • Abstract

A preconditioning method for the finite element stiffness matrix is given in this paper. The triangulation is refined in a subregion; the preconditioning process is composed of resolution of two regular subproblems; the condition number of the preconditioned matrix is $O(1+log\frac{H}{h})$, where $H$ and $h$ are mesh sizes of the unrefined and local refined triangulation respectively.

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@Article{JCM-12-113, author = {Sheng Zhang}, title = {Preconditioning of the Stiffness Matrix of Local Refined Triangulation}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {2}, pages = {113--117}, abstract = {

A preconditioning method for the finite element stiffness matrix is given in this paper. The triangulation is refined in a subregion; the preconditioning process is composed of resolution of two regular subproblems; the condition number of the preconditioned matrix is $O(1+log\frac{H}{h})$, where $H$ and $h$ are mesh sizes of the unrefined and local refined triangulation respectively.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9285.html} }
TY - JOUR T1 - Preconditioning of the Stiffness Matrix of Local Refined Triangulation AU - Sheng Zhang JO - Journal of Computational Mathematics VL - 2 SP - 113 EP - 117 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9285.html KW - AB -

A preconditioning method for the finite element stiffness matrix is given in this paper. The triangulation is refined in a subregion; the preconditioning process is composed of resolution of two regular subproblems; the condition number of the preconditioned matrix is $O(1+log\frac{H}{h})$, where $H$ and $h$ are mesh sizes of the unrefined and local refined triangulation respectively.

Sheng Zhang. (1994). Preconditioning of the Stiffness Matrix of Local Refined Triangulation. Journal of Computational Mathematics. 12 (2). 113-117. doi:
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