Browsing by Author "Karageorghis, Andreas"
Now showing items 81-100 of 170
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Article
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
Karageorghis, Andreas (2001)We investigate the application of the method of fundamental solutions (MFS) for the calculation of the eigenvalues of the Helmholtz equation in the plane subject to homogeneous Dirichlet boundary conditions. We present ...
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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 the identification of a sound-soft 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 sound-soft scatterer embedded in a host acoustic homogeneous medium from the measurement of the far-field pattern of the ...
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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 ...
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Article
The method of fundamental solutions for the numerical solution of the biharmonic equation
Karageorghis, Andreas; Fairweather, G. (1987)The method of fundamental solutions (MFS) is a relatively new technique for the numerical solution of certain elliptic boundary value problems. It falls in the class of methods generally called boundary methods, and, like ...
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Article
The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes
Karageorghis, Andreas; Lesnic, Daniel (2019)In this paper, the steady-state Oseen viscous flow equations past a known or unknown obstacle are solved numerically using the method of fundamental solutions (MFS), which is free of meshes, singularities, and numerical ...
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Article
The method of fundamental solutions for the solution of nonlinear plane potential problems
Karageorghis, Andreas; Fairweather, G. (1989)The method of fundamental solutions is described for the solution of elliptic boundary value problems governed by Laplace's equation in the plane subject to nonlinear radiation-type boundary conditions. The effectiveness ...
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Article
The method of fundamental solutions for the solution of steady-state free boundary problems
Karageorghis, Andreas (1992)The method of fundamental solutions is formulated for the solution of steady-state free boundary problems. The method is tested on three such problems and the results compared to published results obtained with other ...
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Article
The method of fundamental solutions for three-dimensional elastostatics problems
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (2002)We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of ...
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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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Conference Object
The method of fundamental solutions in geometric design with potential fields
Tankelevich, R.; Fairweather, G.; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis (Association for Computing Machinery, Inc, 2005)
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Article
The method of fundamental solutions in Three-dimensional Elastostatics
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (2002)We consider the application of the Method of Fundamental Solutions (MFS) to isotropic elastostatics problems in three-space dimensions. The displacements are approximated by linear combinations of the fundamental solutions ...
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Article
Methods of fundamental solutions for harmonic and biharmonic boundary value problems
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (1998)In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial differential equations is investigated, and the performance of various least squares routines used for the solution of the ...
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Article
Méthodes spectrales dans une portion de disque
Bernardi, C.; Karageorghis, Andreas (1996)This paper is devoted to spectral methods for the discretization of elliptic equations in a part of a disk, relying on the use of polar coordinates and approximation by high degree polynomials with respect to each coordinate. ...
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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 ...