A multigrid method for multiprocessors

DOI10.1016/0096-3003(86)90097-4zbMath0616.65094OpenAlexW2039606983WikidataQ128118376 ScholiaQ128118376MaRDI QIDQ1821522

Anne Greenbaum

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90097-4

zbMATH Keywords

convergencenumerical resultsrelaxationmultigrid methodmultiprocessorfinite- element

Mathematics Subject Classification ID

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) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

Parallel implementation of a multigrid method on the experimental lCAP supercomputer ⋮ A short note on standard parallel multigrid algorithm for 3D problems ⋮ Downwind numbering: Robust multigrid for convection-diffusion problems ⋮ Additive and multiplicative multi-grid -- a comparison ⋮ Multigrid calculation of subvortices ⋮ Reducing communication in algebraic multigrid using additive variants ⋮ Distributed algebraic multigrid for finite element computations

Cites Work

• The multigrid method for semi-implicit hydrodynamics codes
• Multigrid Methods for Variational Problems: Further Results
• Analysis of a Multigrid Method as an Iterative Technique for Solving Linear Systems
• The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On the l 2 Convergence of an Algorithm for Solving Finite Element Equations

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