Browsing by Author "Marin, L."
Now showing items 120 of 23

Article
Efficient MFS algorithms for problems in thermoelasticity
Karageorghis, Andreas; Marin, L. (2013)We propose efficient fast Fourier transform (FFT)based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...

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 ...

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 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 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 ...

Article
The MFS for the Cauchy problem in twodimensional steadystate linear thermoelasticity
Marin, L.; Karageorghis, Andreas (2013)We study the reconstruction of the missing thermal and mechanical fields on an inaccessible part of the boundary for twodimensional linear isotropic thermoelastic materials from overprescribed noisy (Cauchy) data on the ...

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 ...

Conference Object
MFSbased solution to twodimensional linear thermoelasticity problems
Marin, L.; Karageorghis, Andreas (2012)We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of twodimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...

Article
The MFSMPS for twodimensional steadystate thermoelasticity problems
Marin, L.; Karageorghis, Andreas (2013)We consider the numerical approximation of the boundary and internal thermoelastic fields in the case of twodimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...

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 ...

Article
A moving pseudoboundary MFS for void detection in twodimensional thermoelasticity
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2014)We investigate the numerical reconstruction of smooth starshaped voids contained in a twodimensional isotropic linear thermoelastic material from the knowledge of a single nondestructive measurement of the temperature ...

Article
A numerical study of the SVDMFS solution of inverse boundary value problems in twodimensional steadystate linear thermoelasticity
Marin, L.; Karageorghis, Andreas; Lesnic, D. (2015)We study the reconstruction of the missing thermal and mechanical data on an inaccessible part of the boundary in the case of twodimensional linear isotropic thermoelastic materials from overprescribed noisy measurements ...

Article
Regularized collocation Trefftz method for void detection in twodimensional steadystate heat conduction problems
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2014)We propose the use of the collocation Trefftz method for the solution of inverse geometric problems and, in particular, the determination of the boundary of a void. As was the case in the solution of such problems using ...

Article
Regularized MFS solution of inverse boundary value problems in threedimensional steadystate linear thermoelasticity
Marin, L.; Karageorghis, Andreas; Lesnic, D. (2016)We investigate the numerical reconstruction of the missing thermal and mechanical boundary conditions on an inaccessible part of the boundary in the case of threedimensional linear isotropic thermoelastic materials from ...