A note on convergence of V-cycle nonconforming multigrid methods

DOI10.1016/S0096-3003(98)10079-6zbMath0935.65140OpenAlexW2089852214MaRDI QIDQ1805825

Xuejun Xu, Li-Kang Li

Publication date: 4 May 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10079-6

zbMATH Keywords

convergencefinite elementV-cyclenonconforming 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) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (1)

Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems

Cites Work

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• An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements
• The Generalized Patch Test
• Multigrid Preconditioning for the Biharmonic Dirichlet Problem
• A non-conforming element for stress analysis
• An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
• Multigrid and multilevel methods for nonconforming 𝑄₁ elements
• 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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