The condition number of the Schur complement in domain decomposition

被引：47

作者：

Brenner, SC ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

NUMERISCHE MATHEMATIK | 1999年 / 83卷 / 02期

关键词：

D O I：

10.1007/s002110050446

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that for elliptic boundary value problems of order 2m the condition number of the Schur complement matrix that appears in nonoverlapping domain decomposition methods is of order d(-1)h(-2m+1), where d measures the diameters of the subdomains and h is the mesh size of the triangulation. The result holds for both conforming and nonconforming finite elements.

引用

页码：187 / 203

页数：17

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