Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions

DOI10.1016/j.camwa.2015.08.018zbMath1443.65365OpenAlexW1769945921MaRDI QIDQ2006485

Yanyan Li

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.08.018

zbMATH Keywords

collocation methodGalerkin methodsphereradial basis functionelliptic pseudodifferential equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Adjusted sparse tensor product spectral Galerkin method for solving pseudodifferential equations on the sphere with random input data

Cites Work

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• Strongly elliptic pseudodifferential equations on the sphere with radial basis functions
• Boundary integral equations on the sphere with radial basis functions: Error analysis
• Error bounds for solving pseudodifferential equations on spheres by collocation with zonal kernels
• Preconditioners for pseudodifferential equations on the sphere with radial basis functions
• Spherical harmonics
• Positive definite functions on spheres
• Numerical solutions to a boundary-integral equation with spherical radial basis functions
• PSEUDODIFFERENTIAL EQUATIONS ON THE SPHERE WITH SPHERICAL SPLINES
• On the Asymptotic Convergence of Collocation Methods
• SOLUTIONS TO PSEUDODIFFERENTIAL EQUATIONS USING SPHERICAL RADIAL BASIS FUNCTIONS
• On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons
• Strictly Positive Definite Functions on Spheres
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
• A Finite Element Collocation Method for Quasilinear Parabolic Equations
• Scattered Data Approximation

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