A local meshless collocation method for solving certain inverse problems
type: Item
instance of: scholarly article
title: A local meshless collocation method for solving certain inverse problems
zbMATH Open document ID: 1403.65120
author: Wen Li
author: Guangming Yao
author: Xiaoyan Liu
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 6915035
zbMATH Keywords: inverse problem
zbMATH Keywords: compactly supported radial basis functions
zbMATH Keywords: local meshless method
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: L-curve
MaRDI profile type: Publication
full work available at URL: j.enganabound.2014.11.034
OpenAlex ID: W2014584408
cites work: Boundary control for inverse Cauchy problems of the Laplace equations
cites work: METHOD OF FUNDAMENTAL SOLUTION FOR AN INVERSE HEAT CONDUCTION PROBLEM WITH VARIABLE COEFFICIENTS
cites work: The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation
cites work: A fundamental solution method for inverse heat conduction problem
cites work: An inverse boundary problem for one-dimensional heat equation with a multilayer domain
cites work: An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
cites work: Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions
cites work: Inverse identification of thermal parameters using reduced-basis method
cites work: Rapid inverse parameter estimation using reduced-basis approximation with asymptotic error estimation
cites work: Inverse identification of elastic modulus of dental implant–bone interfacial tissue using neural network and FEA model
cites work: The method of fundamental solutions for elliptic boundary value problems
cites work: Some comments on the use of radial basis functions in the dual reciprocity method
cites work: A numerical computation for inverse boundary determination problem
cites work: A radial basis meshless method for solving inverse boundary value problems
cites work: Direct solution of ill-posed boundary value problems by radial basis function collocation method
cites work: A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem
cites work: A meshless method for solving nonhomogeneous Cauchy problems
cites work: Dual reciprocity method using compactly supported radial basis functions
cites work: Radial basis functions for solving near singular Poisson problems
cites work: Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function
cites work: Solution of Stokes flow using an iterative DRBEM based on compactly-supported, positive-definite radial basis function.
cites work: Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions
cites work: Compactly supported radial basis functions for shallow water equations.
cites work: Compactly supported positive definite radial functions
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: A new class of radial basis functions with compact support
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Q4125663
cites work: Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
cites work: A new investigation into regularization techniques for the method of fundamental solutions
cites work: Q4879581
cites work: The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
cites work: Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
DOI: 10.1016/J.ENGANABOUND.2014.11.034
description: scientific article; zbMATH DE number 6915035