ON THE CONSTRUCTION OF PRECONDITIONERS BY SUBSPACE DECOMPOSITION

被引：6

作者：

KING, JT ^{[1
]}

机构：

[1] UNIV CINCINNATI,DEPT MATH SCI,CINCINNATI,OH 45221

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 29卷 / 02期

关键词：

Galerkin; iterative methods; Preconditioner;

D O I：

10.1016/0377-0427(90)90357-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

A preconditioner for the iterative solution of symmetric linear systems which arise in Galerkin's method is obtained by decomposition of the space into orthogonal subspaces. The preconditioner corresponds to a particular bilinear form and is actually a 2-level multigrid method. Applications are presented to the numerical solution of elliptic problems by the finite-element method and to the numerical solution of first-kind Fredholm integral equations by Tikhonov regularization. © 1990.

引用

页码：195 / 205

页数：11

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