A robust hierarchical basis preconditioner on general meshes

DOI10.1007/s002110050313zbMath0895.65057OpenAlexW1988455683MaRDI QIDQ1385133

Rob P. Stevenson

Publication date: 21 September 1998

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

Full work available at URL: https://doi.org/10.1007/s002110050313

zbMATH Keywords

finite elementsecond-order elliptic problemsadditive Schwarz preconditionermultilevel preconditioningadditive Schwarz decompositionmulti level direct sum space decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (6)

Criteria for hierachical bases in Sobolev spaces ⋮ Experiments in 3D with a three-point hierarchical basis preconditioner ⋮ $C^1$ spline wavelets on triangulations ⋮ Computational scales of Sobolev norms with application to preconditioning ⋮ Multilevel norms for \(H^{-1/2}\) ⋮ Multilevel computations of dispersed drug release

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