Optimality of Multilevel Preconditioners for Local Mesh Refinement in Three Dimensions

DOI10.1137/S0036142902406119zbMath1153.65093arXiv1001.1369MaRDI QIDQ3446828

Burak Aksoylu, Michael Holst

Publication date: 26 June 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1369

zbMATH Keywords

waveletshierarchical basesthree dimensionslocal mesh refinementmultilevel preconditioningBPXred-Green refinementfinite element approximation theory

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection ⋮ Goal-oriented adaptivity and multilevel preconditioning for the Poisson-Boltzmann equation ⋮ Optimal multilevel methods for graded bisection grids ⋮ Preconditioning a class of fourth order problems by operator splitting ⋮ Multilevel finite element preconditioning for √3 refinement ⋮ Finite Element Modeling of Biomolecular Systems in Ionic Solution ⋮ BPX preconditioners for the Bidomain model of electrocardiology

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