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Keywords:
FETI-DP; Crouzeix-Raviart element; nonstandard mortar condition; preconditioner
FETI-DP; Crouzeix-Raviart element; nonstandard mortar condition; preconditioner
Summary:
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.
References:
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