A Kansa-radial basis function method for elliptic boundary value problems in annular domains
type: Item
instance of: scholarly article
title: A Kansa-radial basis function method for elliptic boundary value problems in annular domains
zbMATH Open document ID: 1328.65254
author: A. Karageorghis
author: Xiaoyan Liu
author: C. S. Chen
published in: Journal of Scientific Computing
publication date: 2015-12-17T00:00:00Z
full work available at URL: https://aquila.usm.edu/cgi/viewcontent.cgi
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 6521561
zbMATH Keywords: radial basis functions
zbMATH Keywords: Poisson equation
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Cauchy-Navier equations of elasticity
zbMATH Keywords: fast Fourier transforms
zbMATH Keywords: Kansa method
describes a project that uses: rbf_qr
describes a project that uses: Matlab
MaRDI profile type: Publication
OpenAlex ID: W1968560865
cites work: Matrix decomposition algorithms for elliptic boundary value problems: A survey
cites work: A new class of radial basis functions with compact support
cites work: Radial Basis Functions
cites work: The method of approximate particular solutions for solving certain partial differential equations
cites work: Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
cites work: Q3838155
cites work: Q3446085
cites work: Q4938081
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Stable Computations with Gaussian Radial Basis Functions
cites work: Stable computation of multiquadric interpolants for all values of the shape parameter
cites work: Radial basis function interpolation on irregular domain through conformal transplantation
cites work: The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
cites work: Efficient Kansa-type MFS algorithm for elliptic problems
cites work: Efficient MFS algorithms for inhomogeneous polyharmonic problems
cites work: Q2948619
cites work: A matrix decomposition RBF algorithm: approximation of functions and their derivatives
cites work: Matrix decomposition RBF algorithm for solving 3D elliptic problems
cites work: Efficient MFS algorithms for problems in thermoelasticity
cites work: Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
cites work: A matrix decomposition MFS algorithm for certain linear elasticity problems
cites work: A numerical study of some radial basis function based solution methods for elliptic PDEs
cites work: Local multiquadric approximation for solving boundary value problems
cites work: The localized RBFs collocation methods for solving high dimensional PDEs
cites work: Q3044172
cites work: Spatial variation. 2nd ed
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: Error estimates and condition numbers for radial basis function interpolation
cites work: Q4486593
DOI: 10.1007/S10915-015-0009-4
description: scientific article; zbMATH DE number 6521561