Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Poullikkas, A."
Now showing items 1-9 of 9
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Comparison of two methods for the computation of singular solutions in elliptic problems
Georgiou, Georgios C.; Boudouvis, Andreas G.; Poullikkas, A. (1997)We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finite-element method in which the solution is ...
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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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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 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 ...
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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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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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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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The numerical solution of three-dimensional Signorini problems with the method of fundamental solutions
Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (2001)The method of fundamental solutions (MFS) is formulated for three-dimensional Signorini boundary-value problems. The method is tested on a three-dimensional electropainting problem related to the coating of vehicle roofs. ...
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Stress intensity factor computation using the method of fundamental solutions
Karageorghis, Andreas; Poullikkas, A.; Berger, J. R. (2006)In this paper, we study the application of the method of fundamental solutions to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations ...