Multigrid Methods: Convergence Theory in a Variational Framework
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Publication:3221325
DOI10.1137/0721045zbMath0557.65071OpenAlexW2044809480MaRDI QIDQ3221325
Jean-François Maitre, François Musy
Publication date: 1984
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0721045
convergenceHilbert spacefinite elementmultigrid methodsenergy-normnested subspacessymmetric variational problem
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solutions to equations with linear operators (65J10) Variational methods for second-order elliptic equations (35J20)
Related Items (13)
New convergence estimates for multilevel algorithms for finite-element approximations ⋮ Remarks on multigrid convergence theorems ⋮ Parallel implementation of a multigrid method on the experimental lCAP supercomputer ⋮ Convergence of multigrid methods for nonsymmetric, indefinite problems ⋮ Unnamed Item ⋮ Convergence analysis of HSS-multigrid methods for second-order nonselfadjoint elliptic problems ⋮ Spectral element multigrid. II: Theoretical justification ⋮ On the multigrid F-cycle ⋮ A Galerkin method with smoothing ⋮ Absence of mass gap for a class of stochastic contour models. ⋮ Theoretical analysis of some spectral multigrid methods ⋮ Compressible viscous flow simulation by multigrid methods ⋮ Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems
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