Radial basis functions: achievements and challenges

DOI10.2495/BEM380011zbMath1341.65047OpenAlexW2273936637MaRDI QIDQ2811618

Edward J. Kansa

Publication date: 10 June 2016

Published in: WIT Transactions on Modelling and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2495/bem380011

zbMATH Keywords

convergencedomain decompositionpreconditioningfinite elementradial basis functionsspectral methodill-posed problemglobal minimizationsurvey articlestrong and weak formextended precision

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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