On the convergence of multigrid iteration scheme for mixed finite element equation

DOI10.1080/01630569408816567zbMath0799.65123OpenAlexW2020707470MaRDI QIDQ4296724

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Publication date: 17 November 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816567

zbMATH Keywords

convergencemultigrid preconditioningmixed finite element equations\(w\)-cyclemultigrid iteration algorithmnon-nested multigrid schemes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Cites Work

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• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• A New Convergence Proof for the Multigrid Method Including the V-Cycle
• Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows

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