A Petrov--Galerkin Kernel Approximation on the Sphere

DOI10.1137/16M1106626zbMath1387.65120OpenAlexW2784974683MaRDI QIDQ4602548

Davoud Mirzaei

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1137/16m1106626

zbMATH Keywords

error analysisradial basis functionsPetrov-Galerkin methodcondition numbersspherical basis functionsconvolution data

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30)

Related Items (6)

Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs ⋮ A Petrov–Galerkin RBF method for diffusion equation on the unit sphere ⋮ Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions ⋮ On analysis of kernel collocation methods for spherical PDEs ⋮ A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces ⋮ A weak-form RBF-generated finite difference method

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