Browsing by Author "Marin, L."
Now showing items 1-20 of 23
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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 ...
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Article
The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2014)The inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is considered. A regularized ...
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Article
The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data
Marin, L.; Karageorghis, Andreas; Lesnic, D.; Johansson, B. T. (2017)An inverse problem in static thermo-elasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from over-specified boundary data measured ...
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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) ...
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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 star-shaped voids (rigid inclusions and cavities) which are compactly contained in a two-dimensional isotropic linear elastic body from a single non-destructive measurement ...
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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 ...
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Article
The method of fundamental solutions for three-dimensional inverse geometric elasticity problems
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2016)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 medium from a single set of Cauchy data ...
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Article
The method of fundamental solutions for three-dimensional inverse geometric elasticity problems[ONLINE]
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2016)
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Article
The MFS for numerical boundary identification in two-dimensional 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 ...
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Article
The MFS for the Cauchy problem in two-dimensional steady-state 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 two-dimensional linear isotropic thermoelastic materials from over-prescribed noisy (Cauchy) data on the ...
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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 ...
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Article
The MFS for the identification of a sound-soft interior acoustic scatterer
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2017)We employ the method of fundamental solutions (MFS) for detecting a sound-soft scatterer surrounding a host acoustic homogeneous medium due to a given point source inside it. The measurements are taken inside the medium ...
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Conference Object
MFS-based solution to two-dimensional linear thermoelasticity problems
Marin, L.; Karageorghis, Andreas (2012)We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...
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Article
The MFS-MPS for two-dimensional steady-state thermoelasticity problems
Marin, L.; Karageorghis, Andreas (2013)We consider the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...
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Article
A moving pseudo-boundary method of fundamental solutions for void detection
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2013)We propose a new moving pseudo-boundary 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 ...
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Article
A moving pseudo-boundary MFS for three-dimensional void detection
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2013)We propose a new moving pseudo-boundary method of fundamental solutions (MFS) for the determination of the boundary of a three-dimensional void (rigid inclusion or cavity) within a conducting homogeneous host medium from ...
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Article
A moving pseudo-boundary MFS for void detection in two-dimensional thermoelasticity
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2014)We investigate the numerical reconstruction of smooth star-shaped voids contained in a two-dimensional isotropic linear thermoelastic material from the knowledge of a single non-destructive measurement of the temperature ...
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Article
A numerical study of the SVDMFS solution of inverse boundary value problems in two-dimensional steady-state 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 two-dimensional linear isotropic thermoelastic materials from overprescribed noisy measurements ...
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Article
Regularized collocation Trefftz method for void detection in two-dimensional steady-state 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 ...
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Article
Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state 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 three-dimensional linear isotropic thermoelastic materials from ...