On the robustness of a multigrid method for anisotropic reaction-diffusion problems

DOI10.1007/s00607-007-0232-4zbMath1172.65066OpenAlexW2031804509MaRDI QIDQ2457941

Yanyan Li

Publication date: 24 October 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-007-0232-4

zbMATH Keywords

convergencefinite element methodnumerical examplesrobust multigrid methodanisotropic reaction-diffusion problem

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)

Cites Work

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• Iterative solution of large sparse systems of equations. Transl. from the German
• Robustness of multi-grid applied to anisotropic equations on convex domains and on domains with re-entrant corners
• Uniform convergence of the multigrid {V}-cycle for an anisotropic problem
• Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions
• On the Robustness of ILU Smoothing
• Multigrid Methods for Anisotropic Edge Refinement