Multigrid methods for symmetric variational problems: A general theory and convergence estimates for usual smoothers

DOI10.1016/0096-3003(87)90007-5zbMath0636.65065OpenAlexW2148119467MaRDI QIDQ1098240

Jean-François Maitre, François Musy

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0096-3003(87)90007-5

zbMATH Keywords

Hilbert spaceconvergence ratemultigrid methodsPoisson equationnested subspaces

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete approximations in optimal control (49M25) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

Remarks on multigrid convergence theorems ⋮ Estimates for multigrid methods based on red-black Gauss-Seidel smoothings

Cites Work

• On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level
• Multigrid Methods for Variational Problems: Further Results
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
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