Browsing by Author "Karageorghis, Andreas"
Now showing items 61-80 of 170
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Article
Matrix decomposition RBF algorithm for solving 3D elliptic problems
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (2009)In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points ...
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Article
A matrix decomposition RBF algorithm: Approximation of functions and their derivatives
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (2007)We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block ...
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Article
A meshless numerical identification of a sound-hard obstacle
Karageorghis, Andreas; Lesnic, D. (2012)We propose a simple meshless method for detecting a rigid (sound-hard) scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered near field. This inverse problem is ill-posed since ...
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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 axisymmetric acoustic scattering and radiation problems
Karageorghis, Andreas; Fairweather, G. (1998)The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...
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Article
Method of Fundamental Solutions for axisymmetric elasticity problems
Karageorghis, Andreas; Fairweather, G. (2000)We investigate the use of the Method of Fundamental Solutions (MFS) for the approximate solution of certain problems of three-dimensional elastostatics in isotropic materials. Specifically, we consider problems in which ...
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Article
The method of fundamental solutions for axisymmetric potential problems
Karageorghis, Andreas; Fairweather, G. (1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the first, the boundary conditions as well as the domain of the problem, are ...
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Article
The method of fundamental solutions for elliptic boundary value problems
Fairweather, G.; Karageorghis, Andreas (1998)The aim of this paper is to describe the development of the method of fundamental solutions (MFS) and related methods over the last three decades. Several applications of MFS-type methods are presented. Techniques by which ...
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Article
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions
Karageorghis, Andreas (2015)We apply the method of fundamental solutions (MFS) for the solution of harmonic and biharmonic problems in circular domains subject to mixed boundary conditions. In contrast to the cases when boundary conditions of the ...
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Article
The method of fundamental solutions for heat conduction in layered materials
Berger, J. R.; Karageorghis, Andreas (1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two-dimensional problems of steady-state heat conduction in isotropic and anisotropic bimaterials. Two approaches are used: a ...
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Article
The method of fundamental solutions for inhomogeneous elliptic problems
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (1998)We investigate the use of the Method of Fundamental Solutions (MFS) for solving inhomogeneous harmonic and biharmonic problems. These are transformed to homogeneous problems by subtracting a particular solution of the ...
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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 (near-or ...
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Article
The method of fundamental solutions for layered elastic materials
Berger, J. R.; Karageorghis, Andreas (2001)In this paper, we investigate the application of the method of fundamental solutions to two-dimensional elasticity problems in isotropic and anisotropic single materials and bimaterials. A domain decomposition technique ...
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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 scattering and radiation problems
Fairweather, G.; Karageorghis, Andreas; Martin, P. A. (2003)The development of the method of fundamental solutions (MFS) and related methods for the numerical solution of scattering and radiation problems in fluids and solids is described and reviewed. A brief review of the ...
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Article
The method of fundamental solutions for Signorini problems
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (1998)We investigate the use of the method of fundamental solutions (MFS) for the numerical solution of Signorini boundary value problems. The MFS is an ideal candidate for solving such problems because inequality conditions ...
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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 stationary heat conduction problems in rotationally symmetric domains
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (2006)We propose an efficient boundary collocation method for the solution of certain two- and three-dimensional problems of steady-state heat conduction in Isotropie bimaterials. In particular, in two dimensions we consider the ...
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Article
The method of fundamental solutions for steady-state heat conduction in nonlinear materials
Karageorghis, Andreas; Lesnic, D. (2008)The steady-state 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 ...
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Article
The Method of Fundamental Solutions for Stokes Flows with a Free Surface
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C.; Ascough, J. (1998)We investigate the use of the Method of Fundamental Solutions (MFS) for solving Stokes flow problems with a free surface. We apply the method to the creeping planar Newtonian extrudate-swell problem and study the effect ...