Robustness of multi-grid applied to anisotropic equations on convex domains and on domains with re-entrant corners

DOI10.1007/BF01385703zbMath0791.65090MaRDI QIDQ1326498

Rob P. Stevenson

Publication date: 7 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133768

zbMATH Keywords

robustnesserror estimatesfinite elementssecond order elliptic equationanisotropic equations\(L\)- shaped domain\(W\)-cycle multigridGauss-Seidel smoothers

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Uniform convergence of the multigrid {V}-cycle for an anisotropic problem, On the robustness of a multigrid method for anisotropic reaction-diffusion problems, Experiments in 3D with a three-point hierarchical basis preconditioner, Multilevel methods for nonuniformly elliptic operators and fractional diffusion, Parallel geometric multigrid for global weather prediction, Singularities and treatments of elliptic boundary value problems., Stability of discretizations of the Stokes problem on anisotropic meshes

Cites Work

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• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
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• On the Robustness of ILU Smoothing
• On the Angle Condition in the Finite Element Method
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