Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Lesnic, D."
Now showing items 21-28 of 28
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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
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional stokes flow
Karageorghis, Andreas; Lesnic, D. (2010)In this paper we consider a geometric inverse problem which requires detecting an unknown obstacle such as a submarine or an aquatic mine immersed in a Stokes slow viscous stationary flow of an incompressible fluid, from ...
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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 ...
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Article
Simultaneous numerical determination of a corroded boundary and its admittance
Karageorghis, Andreas; Bin-Mohsin, B.; Lesnic, D.; Marin, L. (2015)In this paper, an inverse geometric problem for Laplace’s equation arising in boundary corrosion detection is considered. This problem, which consists of determining an unknown corroded portion of the boundary of a bounded ...
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Article
Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions
Karageorghis, Andreas; Lesnic, D. (2008)The steady-state heat conduction in composite (layered) heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving convection and radiation is investigated using the method of ...
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Article
A survey of applications of the MFS to inverse problems
Karageorghis, Andreas; Lesnic, D.; Marin, L. (2011)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 certain partial differential equations. The ease ...