An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions

DOI10.1016/j.jco.2010.06.003zbMath1201.65019OpenAlexW1987897354MaRDI QIDQ708316

D. Kharzeev

Publication date: 11 October 2010

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2010.06.003

zbMATH Keywords

interpolationnumerical examplespreconditioningradial basis functionill-conditioningunit spherecondition numbersadditive Schwarz preconditioner

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Preconditioners for iterative methods (65F08)

Related Items (2)

Achieving accuracy and efficiency in spherical modelling of real data ⋮ Spherical scattered data quasi-interpolation by Gaussian radial basis function

Cites Work

• Distributing many points on a sphere
• Fitting scattered data on sphere-like surfaces using spherical splines
• Overlapping domain decomposition method by radial basis functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions
• Preconditioning for radial basis functions with domain decomposition methods
• Spherical harmonics
• Positive definite functions on spheres
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere
• Strictly Positive Definite Functions on Spheres
• Norm estimates of interpolation matrices and their inverses associated with strictly positive definite functions
• Additive schwarz methods for the H-version boundary element method
• Domain decomposition for radial basis meshless methods
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Scattered Data Approximation
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