A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization

被引：0

作者：

Wang, Chunmei ^{[1
,2
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Nanjing Normal Univ, Taizhou Coll, Taizhou 225300, Peoples R China

来源：

APPLICATIONS OF MATHEMATICS | 2014年 / 59卷 / 06期

基金：

美国国家科学基金会;

关键词：

FETI-DP; Crouzeix-Raviart element; nonstandard mortar condition; preconditioner; ELLIPTIC PROBLEMS;

D O I：

10.1007/s10492-014-0078-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider mortar-type Crouzeix-Raviart element discretizations for second order elliptic problems with discontinuous coefficients. A preconditioner for the FETI-DP method is proposed. We prove that the condition number of the preconditioned operator is bounded by (1 + log(H/h))(2), where H and h are mesh sizes. Finally, numerical tests are presented to verify the theoretical results.

引用

页码：653 / 672

页数：20