A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids

DOI10.1002/nla.665zbMath1240.65365OpenAlexW2128387968MaRDI QIDQ3090804

H. bin Zubair, Scott MacLachlan, Cornelis W. Oosterlee

Publication date: 2 September 2011

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.665

zbMATH Keywords

complexityconvergencePoisson equationnumerical experimentgrid-stretching\(L\)-shaped coarsening techniquescell-centred finite-volume discretization methodmatrix-free multigrid

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

A meshless geometric multigrid method based on a node-coarsening algorithm for the linear finite element discretization

Uses Software

• Wesseling
• AFACx

Cites Work

• Unnamed Item
• An octree multigrid method for quasi-static Maxwell's equations with highly discontinuous coefficients
• A high-resolution Euler solver based on multigrid, semi-coarsening, and defect correction
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• Conditional semicoarsening multigrid algorithm for the Poisson equation on anisotropic grids
• Multigrid for High-Dimensional Elliptic Partial Differential Equations on Non-equidistant Grids
• An Octree Method for Parametric Image Registration
• The Improved Robustness of Multigrid Elliptic Solvers Based on Multiple Semicoarsened Grids
• Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
• Asynchronous Fast Adaptive Composite-Grid Methods: Numerical Results
• A Multigrid Tutorial, Second Edition

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