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.
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页码：653 / 672
页数：20
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