A hierarchical basis preconditioner for the biharmonic equation on the sphere

DOI10.1093/imanum/dri037zbMath1099.65042OpenAlexW2058198514MaRDI QIDQ5480389

Jan Maes, Adhemar Bultheel

Publication date: 1 August 2006

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.cs.kuleuven.be/cwis/research/nalag/papers/ade/hbbh/

zbMATH Keywords

waveletssplinespreconditioning\(C^1\) finite elements: elliptic equations on surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Boundary value problems for higher-order elliptic equations (35J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

Robust multigrid preconditioners for the high-contrast biharmonic plate equation ⋮ An overlapping additive Schwarz preconditioner for the Laplace-Beltrami equation using spherical splines ⋮ Multilevel Preconditioning for Variational Problems ⋮ Modeling sphere-like manifolds with spherical Powell-Sabin B-splines

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