A survey of applications of the MFS to inverse problems
The method of fundamental solutions (MFS) is a relatively new method for the numerical
solution of boundary value problems and initial/boundary value problems governed by …
solution of boundary value problems and initial/boundary value problems governed by …
The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies
We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions
and cavities) which are compactly contained in a two-dimensional isotropic linear elastic …
and cavities) which are compactly contained in a two-dimensional isotropic linear elastic …
The method of fundamental solutions for three-dimensional inverse geometric elasticity problems
We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions
and cavities) which are compactly contained in a three-dimensional isotropic linear elastic …
and cavities) which are compactly contained in a three-dimensional isotropic linear elastic …
Detection of cavities using the method of fundamental solutions
A Karageorghis, D Lesnic - Inverse Problems in Science and …, 2009 - Taylor & Francis
The determination of the boundary of a cavity, defined here as a perfectly insulated
inclusion, within a conducting medium from a single voltage and current flux measurements …
inclusion, within a conducting medium from a single voltage and current flux measurements …
Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography
The monotonicity-based approach has become one of the fundamental methods for
reconstructing inclusions in the inverse problem of electrical impedance tomography. Thus …
reconstructing inclusions in the inverse problem of electrical impedance tomography. Thus …
Application of the MFS to inverse obstacle scattering problems
A Karageorghis, D Lesnic - Engineering analysis with boundary elements, 2011 - Elsevier
In this paper, the method of fundamental solutions (MFS) is used to detect the shape, size
and location of a scatterer embedded in a host acoustic homogeneous medium from scant …
and location of a scatterer embedded in a host acoustic homogeneous medium from scant …
Superconductive and insulating inclusions for linear and non-linear conductivity equations
T Brander, J Ilmavirta, M Kar - arXiv preprint arXiv:1510.09029, 2015 - arxiv.org
We detect an inclusion with infinite conductivity from boundary measurements represented
by the Dirichlet-to-Neumann map for the conductivity equation. We use both the enclosure …
by the Dirichlet-to-Neumann map for the conductivity equation. We use both the enclosure …
Electrical resistance tomography for locating inclusions using analytical boundary element integrals and their partial derivatives
Y Xu, F Dong, C Tan - Engineering analysis with boundary elements, 2010 - Elsevier
Electrical resistance tomography is a novel non-intrusive technique to image the electrical
conductivity distribution. The technique is characterized as a nonlinear, ill-posed inverse …
conductivity distribution. The technique is characterized as a nonlinear, ill-posed inverse …
The method of fundamental solutions for the inverse conductivity problem
A Karageorghis, D Lesnic - Inverse Problems in Science and …, 2010 - Taylor & Francis
In this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host
electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements …
electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements …
A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation
CS Liu, D Liu - Engineering Analysis with Boundary Elements, 2018 - Elsevier
In this paper, the problem for determining the inner boundary of the Poisson equation in an
arbitrary doubly-connected plane domain is solved, which recovers an unknown inner …
arbitrary doubly-connected plane domain is solved, which recovers an unknown inner …