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.