Geodesic
A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization
Applications of Mathematics, Tome 59 (2014) no. 6, pp. 653-672

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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.
DOI : 10.1007/s10492-014-0078-y
Classification : 65N22, 65N30, 65N38, 65N55
Keywords: FETI-DP; Crouzeix-Raviart element; nonstandard mortar condition; preconditioner 
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     title = {A preconditioner for the {FETI-DP} method for mortar-type {Crouzeix-Raviart} element discretization},
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Wang, Chunmei. A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization. Applications of Mathematics, Tome 59 (2014) no. 6, pp. 653-672. doi: 10.1007/s10492-014-0078-y

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