@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} }