SOME ESTIMATES FOR A WEIGHTED L2 PROJECTION

被引：194

作者：

BRAMBLE, JH ^{[1
]}

XU, JC ^{[1
]}

机构：

[1] PENN STATE UNIV,UNIVERSITY PK,PA 16802

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 194期

关键词：

FINITE ELEMENT SPACE; WEIGHTED L2-PROJECTIONS; MULTIGRID; DOMAIN DECOMPOSITION;

D O I：

10.2307/2008391

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the error estimates for some weighted L2 projections. Nearly optimal estimates are obtained. These estimates can be applied to the analysis of the usual multigrid method, multilevel preconditioner and domain decomposition method for solving elliptic boundary problems whose coefficients have large jump discontinuities.

引用

页码：463 / 476

页数：14

共 12 条

[1]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[2]

BANK RE, 1981, MATH COMPUT, V36, P967

[3]

BRAMBLE J, 1991, IN PRESS MATH COMP, V57

[4] A 2ND ORDER FINITE DIFFERENCE ANALOG OF FIRST BIHARMONIC BOUNDARY VALUE PROBLEM [J].