Investigation of the convergence rate of the multigrid method on quasinested adaptive grids

DOI10.1515/156939803770736006zbMath1083.65101OpenAlexW1974248535MaRDI QIDQ4463679

A. E. Eroshin

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1515/156939803770736006

zbMATH Keywords

comparison of methodsnumerical examplesRichardson methodHelmholtz equationmultigridJacobi methodCourant basis functionsquasi-nested triangular meshessymmetric Gauss-Seidel method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Uses Software

• Wesseling

Cites Work

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• Additive multilevel preconditioners based on bilinear interpolation, matrix-dependent geometric coarsening and algebraic multigrid coarsening for second-order elliptic PDEs
• Optimal-Order Nonnested Multigrid Methods for Solving Finite Element Equations I: On Quasi-Uniform Meshes
• An Optimal Order Process for Solving Finite Element Equations
• Optimal-Order Nonnested Multigrid Methods for Solving Finite Element Equations II: On Non-Quasi-Uniform Meshes

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