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

Chunmei Wang

doi:10.1007/s10492-014-0078-y

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

Chunmei Wang

Mathematics and Statistics

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	653-672
Number of pages	20
Journal	Applications of Mathematics
Volume	59
Issue number	6
DOIs	https://doi.org/10.1007/s10492-014-0078-y
State	Published - 2014

Keywords

Crouzeix-Raviart element
FETI-DP
nonstandard mortar condition
preconditioner

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10.1007/s10492-014-0078-y

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Wang, C. (2014). A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization. Applications of Mathematics, 59(6), 653-672. https://doi.org/10.1007/s10492-014-0078-y

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AB - 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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KW - preconditioner

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