dc.contributor.author | Smyrlis, Yiorgos-Sokratis | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Smyrlis, Yiorgos-Sokratis | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:38:14Z | |
dc.date.available | 2019-12-02T10:38:14Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57616 | |
dc.description.abstract | In this study we investigate the approximation of the solutions of harmonic problems subject to Dirichlet boundary conditions by the Method of Fundamental Solutions (MFS). In particular, we study the application of the MFS to Dirichlet problems in a disk. The MFS discretization yields systems which possess special features which can be exploited by using Fast Fourier transform (FFT)-based techniques. We describe three possible formulations related to the ratio of boundary points to sources, namely, when the number of boundary points is equal, larger and smaller than the number of sources. We also present some numerical experiments and provide an efficient MATLAB implementation of the resulting algorithms. © 2008 Elsevier B.V. All rights reserved. | en |
dc.source | Journal of Computational and Applied Mathematics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-61849095586&doi=10.1016%2fj.cam.2008.07.010&partnerID=40&md5=42dc77526fb52839829ade3cd72ebf5b | |
dc.subject | Boundary value problems | en |
dc.subject | Computational fluid dynamics | en |
dc.subject | Method of fundamental solutions | en |
dc.subject | Elliptic boundary value problems | en |
dc.subject | Fast Fourier transforms | en |
dc.subject | Circulant matrices | en |
dc.subject | Variational methods for elliptic equations | en |
dc.subject | Least-squares method | en |
dc.subject | MATLAB | en |
dc.subject | Over-determined systems | en |
dc.subject | Under-determined systems | en |
dc.title | Efficient implementation of the MFS: The three scenarios | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.cam.2008.07.010 | |
dc.description.volume | 227 | |
dc.description.issue | 1 | |
dc.description.startingpage | 83 | |
dc.description.endingpage | 92 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.source.abbreviation | J.Comput.Appl.Math. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.contributor.orcid | Smyrlis, Yiorgos-Sokratis [0000-0001-9126-2441] | |
dc.gnosis.orcid | 0000-0002-8399-6880|0000-0001-9126-2441 | |