Show simple item record

dc.contributor.authorLiu, X. -Yen
dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorChen, C. S.en
dc.creatorLiu, X. -Yen
dc.creatorKarageorghis, Andreasen
dc.creatorChen, C. S.en
dc.date.accessioned2019-12-02T10:36:49Z
dc.date.available2019-12-02T10:36:49Z
dc.date.issued2015
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57249
dc.description.abstractWe 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.sourceJournal of Scientific Computingen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84946478697&doi=10.1007%2fs10915-015-0009-4&partnerID=40&md5=55cf4cf505e33c8b4c57ca05f826ffe6
dc.subjectProblem solvingen
dc.subjectStatistical methodsen
dc.subjectRadial basis functionsen
dc.subjectMathematical transformationsen
dc.subjectMatrix algebraen
dc.subjectFunctionsen
dc.subjectLinear systemsen
dc.subjectNumerical methodsen
dc.subjectBoundary value problemsen
dc.subjectHeat conductionen
dc.subjectElasticityen
dc.subjectPoisson equationen
dc.subjectBiharmonic equationen
dc.subjectFast Fourier transformsen
dc.subjectNavier equationsen
dc.subjectKansa methoden
dc.subjectBiharmonic equationsen
dc.subjectElliptic boundary value problemen
dc.subjectImage segmentationen
dc.subjectInhomogeneous biharmonic equationen
dc.subjectRadial basis function methodsen
dc.subjectRadial basis function networksen
dc.subjectCauchy–Navier equations of elasticityen
dc.subjectLeave-one-out cross validationsen
dc.titleA Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domainsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1007/s10915-015-0009-4
dc.description.volume65
dc.description.issue3
dc.description.startingpage1240
dc.description.endingpage1269
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.source.abbreviationJ.Sci.Comput.en
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record