dc.contributor.author | Karageorghis, Andreas | en |
dc.contributor.author | Chen, C. S. | en |
dc.contributor.author | Smyrlis, Yiorgos-Sokratis | en |
dc.creator | Karageorghis, Andreas | en |
dc.creator | Chen, C. S. | en |
dc.creator | Smyrlis, Yiorgos-Sokratis | en |
dc.date.accessioned | 2019-12-02T10:36:01Z | |
dc.date.available | 2019-12-02T10:36:01Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57039 | |
dc.description.abstract | 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 are placed on concentric spheres and thus the resulting global matrix possesses a block circulant structure. This structure is exploited to develop an efficient matrix decomposition algorithm for the solution of the resulting system. Further savings in the matrix decomposition algorithm are obtained by the use of fast Fourier transforms. The proposed algorithm is used, in conjunction with the method of fundamental solutions for the solution of three-dimensional inhomogeneous elliptic boundary value problems. © 2009 Elsevier Ltd. All rights reserved. | en |
dc.source | Engineering Analysis with Boundary Elements | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-69249205357&doi=10.1016%2fj.enganabound.2009.05.006&partnerID=40&md5=766aeaed5b0aa4d25000e71f26e75f2f | |
dc.subject | Geometry | en |
dc.subject | Algorithms | en |
dc.subject | Radial basis functions | en |
dc.subject | Partial differential equations | en |
dc.subject | Three dimensional | en |
dc.subject | Method of fundamental solutions | en |
dc.subject | Fast Fourier transforms | en |
dc.subject | Matrix decomposition | en |
dc.subject | Elliptic problem | en |
dc.subject | Efficient algorithm | en |
dc.subject | Particular solution | en |
dc.subject | Elliptic boundary value problem | en |
dc.subject | Image segmentation | en |
dc.subject | Radial basis function networks | en |
dc.subject | Block circulant | en |
dc.subject | Collocation points | en |
dc.subject | Concentric spheres | en |
dc.subject | Elliptic partial differential equation | en |
dc.subject | Global matrix | en |
dc.title | Matrix decomposition RBF algorithm for solving 3D elliptic problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.enganabound.2009.05.006 | |
dc.description.volume | 33 | |
dc.description.issue | 12 | |
dc.description.startingpage | 1368 | |
dc.description.endingpage | 1373 | |
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.description.notes | <p>Cited By :17</p> | en |
dc.source.abbreviation | Eng Anal Boundary Elem | 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 | |