dc.contributor.author | Liu, X. -Y | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.contributor.author | Chen, C. S. | en |
dc.creator | Liu, X. -Y | en |
dc.creator | Karageorghis, Andreas | en |
dc.creator | Chen, C. S. | en |
dc.date.accessioned | 2019-12-02T10:36:49Z | |
dc.date.available | 2019-12-02T10:36:49Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57249 | |
dc.description.abstract | We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for any choice of RBF, to linear systems in which the matrices possess block circulant structures. These linear systems can be solved efficiently using matrix decomposition algorithms and fast Fourier transforms. A suitable value for the shape parameter in the various RBFs used is found using the leave-one-out cross validation algorithm. In particular, we consider problems governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous Cauchy–Navier equations of elasticity. In addition to its simplicity, the proposed method can both achieve high accuracy and solve large-scale problems. The feasibility of the proposed techniques is illustrated by several numerical examples. © 2015, 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-s2.0-84946478697&doi=10.1007%2fs10915-015-0009-4&partnerID=40&md5=55cf4cf505e33c8b4c57ca05f826ffe6 | |
dc.subject | Problem solving | en |
dc.subject | Statistical methods | en |
dc.subject | Radial basis functions | en |
dc.subject | Mathematical transformations | en |
dc.subject | Matrix algebra | en |
dc.subject | Functions | en |
dc.subject | Linear systems | en |
dc.subject | Numerical methods | en |
dc.subject | Boundary value problems | en |
dc.subject | Heat conduction | en |
dc.subject | Elasticity | en |
dc.subject | Poisson equation | en |
dc.subject | Biharmonic equation | en |
dc.subject | Fast Fourier transforms | en |
dc.subject | Navier equations | en |
dc.subject | Kansa method | en |
dc.subject | Biharmonic equations | en |
dc.subject | Elliptic boundary value problem | en |
dc.subject | Image segmentation | en |
dc.subject | Inhomogeneous biharmonic equation | en |
dc.subject | Radial basis function methods | en |
dc.subject | Radial basis function networks | en |
dc.subject | Cauchy–Navier equations of elasticity | en |
dc.subject | Leave-one-out cross validations | en |
dc.title | A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s10915-015-0009-4 | |
dc.description.volume | 65 | |
dc.description.issue | 3 | |
dc.description.startingpage | 1240 | |
dc.description.endingpage | 1269 | |
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 | |