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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)653-672
Number of pages20
JournalApplications of Mathematics
Volume59
Issue number6
DOIs
StatePublished - 2014

Keywords

  • Crouzeix-Raviart element
  • FETI-DP
  • nonstandard mortar condition
  • preconditioner

Fingerprint Dive into the research topics of 'A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization'. Together they form a unique fingerprint.

  • Cite this