\(V\)-cycle multigrid methods for Wilson nonconforming element

DOI10.1007/BF02878433zbMath0969.65110OpenAlexW1513435684MaRDI QIDQ1589770

Xuejun Xu, Zhong-Ci Shi

Publication date: 10 May 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878433

zbMATH Keywords

finite element methodelliptic problemsnonconforming elementdomains with cracksWilson element\(L\)-shaped domains\(V\)-cycle multigrid methods

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)

Related Items (2)

Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems ⋮ Variable V-cycle multigrid preconditioners for the discrete systems from combined hybrid quadrilateral elements

Cites Work

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• An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements
• Multigrid Preconditioning for the Biharmonic Dirichlet Problem
• Iterative Methods by Space Decomposition and Subspace Correction
• Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature
• Uniform Convergence of Multigrid V-Cycle Iterations for Indefinite and Nonsymmetric Problems
• An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
• The 𝑑₂-transformation for infinite double series and the 𝐷₂-transformation for infinite double integrals
• An Optimal-Order Nonconforming Multigrid Method for the Biharmonic Equation
• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms

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