Aspects of multigrid methods for problems in three dimensions

DOI10.1016/0096-3003(86)90102-5zbMath0609.65069OpenAlexW2004577687MaRDI QIDQ1086995

B. George

Publication date: 1986

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

Full work available at URL: http://resolver.tudelft.nl/uuid:9bd56282-0dc0-4310-87a0-3a64774b8ef8

zbMATH Keywords

multigrid methodsconvection-diffusion equationssmoothing methodsanisotropic diffusion equationincomplete block factorization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Free convection (76R10) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

A block preconditioned conjugate gradient method for solving high-order finite element matrix equations ⋮ Towards algebraic multigrid for elliptic problems of second order ⋮ A simple cell-centered multigrid method for 3D interface problems ⋮ A Matrix-Free ILU Realization Based on Surrogates ⋮ Geometric multigrid with applications to computational fluid dynamics ⋮ Analytical bounds for block approximate factorization methods

Cites Work

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• Multigrid methods: Development of fast solvers
• Black box multigrid for nonsymmetric problems
• Multi-grid solution of three-dimensional problems with discontinuous coefficients
• On some versions of incomplete block-matrix factorization iterative methods
• Multigrid methods. Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981
• Block Preconditioning for the Conjugate Gradient Method
• Theoretical and Practical Aspects of a Multigrid Method

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