Compact approximation stencils based on integrated flat radial basis functions
type: Item
instance of: scholarly article
title: Compact approximation stencils based on integrated flat radial basis functions
zbMATH Open document ID: 1403.65113
author: T. T. V. Le
author: C. M. T. Tien
author: D. Ngo-Cong
author: Nam Mai-Duy
author: Thanh Tran-Cong
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
full work available at URL: msR3.pdf
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 6915370
zbMATH Keywords: compact approximation
zbMATH Keywords: local approximation
zbMATH Keywords: integrated radial basis function
zbMATH Keywords: flat radial basis function
Wikidata QID: Q56690757
describes a project that uses: rbf_qr
MaRDI profile type: Publication
OpenAlex ID: W2553584617
cites work: Interpolation in the limit of increasingly flat radial basis functions
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: Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
cites work: On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs
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: A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation
cites work: The localized RBFs collocation methods for solving high dimensional PDEs
cites work: A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem
cites work: Multiquadric collocation method with integralformulation for boundary layer problems
cites work: Miscellaneous error bounds for multiquadric and related interpolators
cites work: Solving high order ordinary differential equations with radial basis function networks
cites work: A multidomain integrated-radial-basis-function collocation method for elliptic problems
cites work: An integrated-RBF technique based on Galerkin formulation for elliptic differential equations
cites work: A control volume technique based on integrated RBFNs for the convection-diffusion equation
cites work: Compact local integrated-RBF approximations for second-order elliptic differential problems
cites work: A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem
cites work: A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations
cites work: Q3426541
cites work: Integrated multiquadric radial basis function approximation methods
cites work: Integrated radial basis functions-based differential quadrature method and its performance
cites work: A solution to linear elasticity using locally supported RBF collocation in a generalised finite-difference mode
cites work: On using radial basis functions in a ``finite difference mode'' with applications to elasticity problems
cites work: Q3426544
cites work: Meshless Galerkin methods using radial basis functions
cites work: Scattered node compact finite difference-type formulas generated from radial basis functions
DOI: 10.1016/J.ENGANABOUND.2016.11.002
description: scientific article; zbMATH DE number 6915370