A 3D Crouzeix-Raviart mortar finite element

DOI10.1007/s00607-009-0071-6zbMath1181.65143OpenAlexW2037362224MaRDI QIDQ1044224

Talal Rahman, Leszek Marcinkowski, Jan Valdman

Publication date: 11 December 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0071-6

zbMATH Keywords

algorithmnumerical experimentserror estimatenon-matching gridsmortar finite elementsecond order elliptic problemCrouzeix-Raviart finite element

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• Mortar finite element discretization for the flow in a nonhomogeneous porous medium
• Balancing domain decomposition for nonconforming plate elements
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• The Crouzeix–Raviart FE on Nonmatching Grids with an Approximate Mortar Condition
• A multilevel preconditioner for the mortar method for nonconformingP₁finite element
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• A Multigrid Algorithm for the Mortar Finite Element Method
• Multigrid for the mortar element method for P1 nonconforming element