Steplength optimization and linear multigrid methods

DOI10.1007/BF01385656zbMath0697.65078MaRDI QIDQ911725

Arnold Reusken

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133532

zbMATH Keywords

linear multigrid methodssteplength optimization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (13)

A multigrid method for a Petrov-Galerkin discretization of the Stokes equations ⋮ A note on Reusken's lemma ⋮ Multigrid with inexact minimal residual smoothing acceleration ⋮ Residual scaling techniques in multigrid. I: Equivalence proof ⋮ Residual scaling techniques in multigrid. II: Practical applications ⋮ Convergence analysis of multigrid methods with collective point smoothers for optimal control problems ⋮ Building blocks for odd-even multigrid with applications to reduced systems ⋮ Convergence analysis of multigrid methods with residual scaling techniques ⋮ A cost-effective multigrid projection operator ⋮ Additive and multiplicative multi-grid -- a comparison ⋮ Acceleration and stabilization properties of minimal residual smoothing technique in multigrid ⋮ Two-grid analysis of minimal residual smoothing as a multigrid acceleration technique ⋮ Multi-level minimal residual smoothing: A family of general purpose multigrid acceleration techniques

Cites Work

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• A conjugate gradient method and a multigrid algorithm for Morley's finite element approximation of the biharmonic equation
• A multigrid method for the membrane problem
• Analysis of a damped nonlinear multilevel method
• Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems
• Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration

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