The MFS for numerical boundary identification in two-dimensional harmonic problems
type: Item
instance of: scholarly article
title: The MFS for numerical boundary identification in two-dimensional harmonic problems
zbMATH Open document ID: 1259.65194
author: A. Karageorghis
author: Liviu Marin
author: Daniel Lesnic
published in: Engineering Analysis with Boundary Elements
publication date: 2013-03-25T00:00:00Z
Mathematics Subject Classification ID: 65N80
Mathematics Subject Classification ID: 65N21
zbMATH DE Number: 6148716
zbMATH Keywords: inverse problem
zbMATH Keywords: method of fundamental solutions (MFS)
zbMATH Keywords: regularization
describes a project that uses: minpack
describes a project that uses: NAG
describes a project that uses: HYBRJ
MaRDI profile type: Publication
full work available at URL: j.enganabound.2010.09.014
OpenAlex ID: W1991961105
cites work: A new method of fundamental solutions applied to nonhomogeneous elliptic problems
cites work: Recovering the source term in a linear diffusion problem by the method of fundamental solutions
cites work: The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities
cites work: On the Determination of a Robin Boundary Coefficient in an Elastic Cavity Using the MFS
cites work: Full identification of acoustic sources with multiple frequencies and boundary measurements
cites work: Stable Determination of Boundaries from Cauchy Data
cites work: Q5688420
cites work: The method of fundamental solutions for detection of cavities in EIT
cites work: The method of fundamental solutions for inverse 2D Stokes problems
cites work: Conditional stability estimation for an inverse boundary problem with non-smooth boundary in \(\mathcal{R}^3\)
cites work: A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium
cites work: The method of fundamental solutions for elliptic boundary value problems
cites work: The method of fundamental solutions for scattering and radiation problems.
cites work: An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
cites work: Q4945301
cites work: The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
cites work: A computational method for inverse free boundary determination problem
cites work: Q4793548
cites work: Q4442560
cites work: A fundamental solution method for inverse heat conduction problem
cites work: Q3426537
cites work: A numerical computation for inverse boundary determination problem
cites work: On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data
cites work: The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
cites work: A meshless method for some inverse problems associated with the Helmholtz equation
cites work: The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media
cites work: Detection of cavities using the method of fundamental solutions
cites work: The method of functional equations for the approximate solution of certain boundary value problems
cites work: Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
cites work: A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
cites work: A meshless method for solving the Cauchy problem in three-dimensional elastostatics
cites work: Numerical boundary identification for Helmholtz-type equations
cites work: BEM first-order regularisation method in linear elasticity for boundary identification.
cites work: The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
cites work: The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
cites work: An iterative MFS approach for the detection of immersed obstacles
cites work: The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
cites work: An Inverse Problem in Electromagnetic Crack Detection
cites work: The method of fundamental solutions for the backward heat conduction problem
cites work: A three-dimensional boundary determination problem in potential corrosion damage
cites work: The method of fundamental solutions for the inverse space-dependent heat source problem
cites work: Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method
cites work: Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points
cites work: Q4217295
cites work: Estimation of the heat transfer coefficient by means of the method of fundamental solutions
cites work: Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
cites work: A nonlinear elliptic boundary value problem related to corrosion modeling
cites work: An inverse boundary problem for one-dimensional heat equation with a multilayer domain
cites work: Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions
cites work: Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
cites work: The method of fundamental solutions for the inverse heat source problem
cites work: A meshless method for solving an inverse spacewise-dependent heat source problem
cites work: Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method
cites work: Reconstruction of part of a boundary for the Laplace equation by using a regularized method of fundamental solutions
cites work: The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation
cites work: The method of fundamental solutions for a biharmonic inverse boundary determination problem
cites work: The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain
DOI: 10.1016/J.ENGANABOUND.2010.09.014