Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method
dc.contributor.author | Liu, X. -Y | en |
dc.contributor.author | Chen, C. S. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Liu, X. -Y | en |
dc.creator | Chen, C. S. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:36:49Z | |
dc.date.available | 2019-12-02T10:36:49Z | |
dc.date.issued | 2017 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57248 | |
dc.description.abstract | We consider the solution of Poisson Dirichlet problems in simply-connected irregular domains. These domains are conformally mapped onto the unit disk and the resulting Poisson Dirichlet problems are solved efficiently using a Kansa-radial basis function (RBF) method with a matrix decomposition algorithm (MDA). In a similar way, we treat Poisson Dirichlet and Poisson Dirichlet–Neumann problems in doubly-connected domains. These domains are mapped onto annular domains by a conformal mapping and the resulting Poisson Dirichlet and Poisson Dirichlet–Neumann problems are solved efficiently using a Kansa-RBF MDA. Several examples demonstrating the applicability of the proposed technique are presented. © 2016, Springer Science+Business Media New York. | en |
dc.source | Journal of Scientific Computing | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85000885267&doi=10.1007%2fs10915-016-0330-6&partnerID=40&md5=2885cb958579f89916a4daa192b77ca9 | |
dc.subject | Radial basis functions | en |
dc.subject | Functions | en |
dc.subject | Conformal mapping | en |
dc.subject | Boundary value problems | en |
dc.subject | Heat conduction | en |
dc.subject | Poisson equation | en |
dc.subject | Fast Fourier transforms | en |
dc.subject | Matrix decomposition | en |
dc.subject | Dirichlet problem | en |
dc.subject | Kansa method | en |
dc.subject | Image segmentation | en |
dc.subject | Radial basis function networks | en |
dc.subject | Connected domains | en |
dc.subject | Irregular domains | en |
dc.subject | Neumann problem | en |
dc.subject | Radial Basis Function(RBF) | en |
dc.title | Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s10915-016-0330-6 | |
dc.description.volume | 71 | |
dc.description.issue | 3 | |
dc.description.startingpage | 1035 | |
dc.description.endingpage | 1061 | |
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.Sci.Comput. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 |
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