Kansa-RBF algorithms for elliptic problems in axisymmetric domains
type: Item
instance of: scholarly article
zbMATH Open document ID: 1432.65174
DOI: 10.1137/15M1037974
published in: SIAM Journal on Scientific Computing
publication date: 2016-03-02T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 65N38
zbMATH DE Number: 6548922
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
author: A. Karageorghis
author: C. S. Chen
author: Xiaoyan Liu
describes a project that uses: Matlab
MaRDI profile type: Publication
cites work: Q4256617
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: Multilevel compact radial functions based computational schemes for some elliptic problems
cites work: The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number
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: Newton iteration with multiquadrics for the solution of nonlinear PDEs
cites work: Q3446085
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Stable computation of multiquadric interpolants for all values of the shape parameter
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Q3930771
cites work: Radial basis function interpolation on irregular domain through conformal transplantation
cites work: A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations
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: Efficient Kansa-type MFS algorithm for elliptic problems
cites work: Efficient MFS algorithms for inhomogeneous polyharmonic problems
cites work: The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions
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: The method of fundamental solutions for axisymmetric potential problems
cites work: Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
cites work: Local multiquadric approximation for solving boundary value problems
cites work: The localized RBFs collocation methods for solving high dimensional PDEs
cites work: Fast Boundary Knot Method for Solving Axisymmetric Helmholtz Problems with High Wave Number
cites work: A Kansa-radial basis function method for elliptic boundary value problems in annular domains
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains
cites work: A localized approach for the method of approximate particular solutions
title: Kansa-RBF algorithms for elliptic problems in axisymmetric domains
description: scientific article; zbMATH DE number 6548922