A multilevel preconditioner for the mortar method for nonconformingP1finite element

DOI10.1051/m2an/2009003zbMath1203.65259OpenAlexW2117324810MaRDI QIDQ3638262

Xuejun Xu, Talal Rahman

Publication date: 2 July 2009

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194457

zbMATH Keywords

Crouzeix-Raviart elementsmultilevel preconditionernonconforming elementsmortar method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (2)

A 3D Crouzeix-Raviart mortar finite element ⋮ A unified mortar condition for nonconforming finite elements

Cites Work

• A subspace cascadic multigrid method for mortar elements
• Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems
• Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
• A multigrid method for saddle point problems arising from mortar finite element discretizations
• Substructuring preconditioners for the \(Q_ 1\) mortar element method
• The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids
• The mortar element method with locally nonconforming elements
• The mortar finite element method with Lagrange multipliers
• Additive Schwarz method for mortar discretization of elliptic problems with \(P_{1}\) nonconforming finite elements
• Additive Schwarz methods for the Crouzeix-Raviart mortar finite element for elliptic problems with discontinuous coefficients
• Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
• Multigrid for the Wilson Mortar Element Method
• The mortar element method for three dimensional finite elements
• The Crouzeix–Raviart FE on Nonmatching Grids with an Approximate Mortar Condition
• Iterative Methods by Space Decomposition and Subspace Correction
• Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
• An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
• Treatments of discontinuity and bubble functions in the multigrid method
• Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• A Multigrid Algorithm for the Mortar Finite Element Method
• Preconditioners for nonconforming discretizations
• Preconditioning Complicated Finite Elements by Simple Finite Elements
• Multigrid for the Mortar Finite Element Method
• Multigrid for the mortar element method for P1 nonconforming element
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