Construction of a Preconditioner for Domain Decomposition Methods with Polynomial Lagrangian Multipliers
Year: 2001
Author: Qi-Ya Hu, Guo-Ping Liang, Jin-Zhao Liu
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 213–224
Abstract
In this paper we consider domain decomposition methods with polynomial Lagrangian multipliers to two-dimensional elliptic problems, and construct a kind of simple preconditioners for the corresponding interface equation. It will be shown that condition number of the resulting preconditioned interface matrix is almost optimal (namely, it has only logarithmic growth with dimension of the local interface space).
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8974
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 213–224
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Domain Decomposition Non-matching grids Lagrangian multipliers Preconditioner Condition number.