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

[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.

[学科分类] 应用数学

[关键词] FETI-DP;Crouzeix-Raviart element;nonst;ard mortar condition;preconditioner