Browsing by Author "Lesnic, D."
Now showing items 120 of 28

Article
Application of the MFS to inverse obstacle scattering problems
Karageorghis, Andreas; Lesnic, D. (2011)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 measurements of the scattered acoustic pressure ...

Article
Detection of cavities using the method of fundamental solutions
Karageorghis, Andreas; Lesnic, D. (2009)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 on the accessible boundary of the medium, can ...

Article
A fully bayesian approach to shape estimation of objects from tomography data using MFS forward solutions
Aykroyd, R. G.; Lesnic, D.; Karageorghis, Andreas (2015)It is possible to characterise the aim of many practical inverse geometric problems as one of identifying the shape of an object within some domain of interest using nonintrusive measurements collected on the boundary of ...

Article
A meshless numerical identification of a soundhard obstacle
Karageorghis, Andreas; Lesnic, D. (2012)We propose a simple meshless method for detecting a rigid (soundhard) scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered near field. This inverse problem is illposed since ...

Article
The method of fundamental solutions for an inverse boundary value problem in static thermoelasticity
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2014)The inverse problem of coupled static thermoelasticity in which one has to determine the thermoelastic stress state in a body from displacements and temperature given on a subset of the boundary is considered. A regularized ...

Conference Object
The method of fundamental solutions for inverse obstacle acoustic scattering
Karageorghis, Andreas; Lesnic, D. (2010)In this paper we propose a simple method for detecting (shape, size and location) a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure in the vicinity (nearor ...

Article
The method of fundamental solutions for problems in static thermoelasticity with incomplete boundary data
Marin, L.; Karageorghis, Andreas; Lesnic, D.; Johansson, B. T. (2017)An inverse problem in static thermoelasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from overspecified boundary data measured ...

Article
The method of fundamental solutions for solving direct and inverse Signorini problems
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2015)Signorini problems model phenomena in which a known or unknown portion of the boundary is subjected to alternating Dirichlet and Neumann boundary conditions. In this paper, we apply the method of fundamental solutions (MFS) ...

Article
The method of fundamental solutions for steadystate heat conduction in nonlinear materials
Karageorghis, Andreas; Lesnic, D. (2008)The steadystate heat conduction in heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving radiation is investigated using the method of fundamental solutions. Various ...

Article
The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2012)We investigate the numerical reconstruction of smooth starshaped voids (rigid inclusions and cavities) which are compactly contained in a twodimensional isotropic linear elastic body from a single nondestructive measurement ...

Article
The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2018)We employ the method of fundamental solutions (MFS) for detecting a scatterer surrounding a host acoustic homogeneous medium D due to a given point source inside it. On the boundary of the unknown scatterer (assumed to be ...

Article
The method of fundamental solutions for the identification of a soundsoft obstacle in inverse acoustic scattering
Karageorghis, Andreas; Johansson, B. T.; Lesnic, D. (2012)In this paper we propose a simple meshless method of fundamental solutions (MFS) for detecting a soundsoft scatterer embedded in a host acoustic homogeneous medium from the measurement of the farfield pattern of the ...

Article
The method of fundamental solutions for the inverse conductivity problem
Karageorghis, Andreas; Lesnic, D. (2010)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 on the exterior boundary of Ω1. A ...

Article
The method of fundamental solutions for threedimensional inverse geometric elasticity problems
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2016)We investigate the numerical reconstruction of smooth starshaped voids (rigid inclusions and cavities) which are compactly contained in a threedimensional isotropic linear elastic medium from a single set of Cauchy data ...

Article
The method of fundamental solutions for threedimensional inverse geometric elasticity problems[ONLINE]
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2016)

Article
The MFS for numerical boundary identification in twodimensional harmonic problems
Marin, L.; Karageorghis, Andreas; Lesnic, D. (2011)In this study, we briefly review the applications of the method of fundamental solutions to inverse problems over the last decade. Subsequently, we consider the inverse geometric problem of identifying an unknown part of ...

Conference Object
The MFS for the detection of inner boundaries in linear elasticity
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2011)We propose a nonlinear minimization method of fundamental solutions for the detection (shape, size and location) of unknown inner boundaries corresponding to either a rigid inclusion or a cavity inside a linear elastic ...

Article
The MFS for the identification of a soundsoft interior acoustic scatterer
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2017)We employ the method of fundamental solutions (MFS) for detecting a soundsoft scatterer surrounding a host acoustic homogeneous medium due to a given point source inside it. The measurements are taken inside the medium ...

Article
A moving pseudoboundary method of fundamental solutions for void detection
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2013)We propose a new moving pseudoboundary method of fundamental solutions (MFS) for the determination of the boundary of a void. This problem can be modeled as an inverse boundary value problem for harmonic functions. The ...

Article
A moving pseudoboundary MFS for threedimensional void detection
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2013)We propose a new moving pseudoboundary method of fundamental solutions (MFS) for the determination of the boundary of a threedimensional void (rigid inclusion or cavity) within a conducting homogeneous host medium from ...