A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
type: Item
instance of: scholarly article
title: A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
zbMATH Open document ID: 1403.80038
author: Sergiy Y. Reutskiy
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 80M22
Mathematics Subject Classification ID: 80M15
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6915214
zbMATH Keywords: anisotropic problems
zbMATH Keywords: inhomogeneous media
zbMATH Keywords: irregular domain
zbMATH Keywords: meshless method
zbMATH Keywords: radial basis functions
MaRDI profile type: Publication
full work available at URL: j.enganabound.2016.01.013
OpenAlex ID: W2282397481
cites work: Asymptotic behaviors of heat transfer in porous passages with axial conduction
cites work: Modeling groundwater flow and contaminant transport
cites work: The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
cites work: A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media
cites work: The method of approximate particular solutions for solving anisotropic elliptic problems
cites work: Numerical investigation of the meshless radial basis integral equation method for solving 2D anisotropic potential problems
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
cites work: A numerical study of some radial basis function based solution methods for elliptic PDEs
cites work: A comparison of efficiency and error convergence of multiquadric collocation method and finite element method.
cites work: Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
cites work: Compact local integrated-RBF approximations for second-order elliptic differential problems
cites work: Q3126812
cites work: Some recent results and proposals for the use of radial basis functions in the BEM
cites work: Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
cites work: Numerical comparisons of two meshless methods using radial basis functions
cites work: Polynomial particular solutions for certain partial differential operators
cites work: Particular Solutions of Chebyshev Polynomials for Polyharmonic and Poly-Helmholtz Equations
cites work: Particular solutions of splines and monomials for polyharmonic and products of Helmholtz operators
cites work: The method of approximate particular solutions for solving certain partial differential equations
cites work: The method of approximate particular solutions for solving elliptic problems with variable coefficients
cites work: Recent advances on radial basis function collocation methods
cites work: A Novel Semi-Analytic Meshless Method for Solving TwoandThree-Dimensional Elliptic Equations of GeneralForm with Variable Coefficients in Irregular Domains
cites work: The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type
cites work: Method of particular solutions for solving PDEs of the second and fourth orders with variable coefficients
DOI: 10.1016/J.ENGANABOUND.2016.01.013
description: scientific article; zbMATH DE number 6915214