The Crouzeix–Raviart FE on Nonmatching Grids with an Approximate Mortar Condition

DOI10.1137/060663593zbMath1160.65344OpenAlexW2027162251MaRDI QIDQ3614189

Xuejun Xu, Petter E. Bjørstad, Talal Rahman

Publication date: 16 March 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060663593

zbMATH Keywords

algorithmnumerical examplesdomain decompositionpreconditioningadditive Schwarz methodnonmatching gridsCrouzeix-Raviart finite elementMortar condition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (6)

Schwarz preconditioned CG algorithm for the mortar finite element ⋮ A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization. ⋮ Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems ⋮ A multilevel preconditioner for the mortar method for nonconformingP₁finite element ⋮ A 3D Crouzeix-Raviart mortar finite element ⋮ A unified mortar condition for nonconforming finite elements

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