Remarks on multigrid convergence theorems

DOI10.1016/0096-3003(87)90033-6zbMath0621.65109OpenAlexW2060605175MaRDI QIDQ1090090

Seymour V. Parter

Publication date: 1987

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

Full work available at URL: http://digital.library.wisc.edu/1793/58706

zbMATH Keywords

convergencemultigrid methodtwo-level methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Estimates for multigrid methods based on red-black Gauss-Seidel smoothings

Cites Work

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• The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation
• A note on convergence of the multigrid V-cycle
• A study of some multigrid ideas
• Multigrid methods for symmetric variational problems: A general theory and convergence estimates for usual smoothers
• On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level
• Multigrid Methods: Convergence Theory in a Variational Framework
• Multigrid Methods for Variational Problems: Further Results
• The Covergence Rate of a Multigrid Method with Gauss-Seidel Relaxation for the Poisson Equation
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration
• Multigrid Methods for Variational Problems: General Theory for the V-Cycle
• An Optimal Order Process for Solving Finite Element Equations
• Multigrid Methods for Variational Problems
• On the l 2 Convergence of an Algorithm for Solving Finite Element Equations

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