Show simple item record

dc.contributor.authorChen, C. S.en
dc.contributor.authorKarageorghis, Andreasen
dc.creatorChen, C. S.en
dc.creatorKarageorghis, Andreasen
dc.date.accessioned2021-01-25T08:41:24Z
dc.date.available2021-01-25T08:41:24Z
dc.date.issued2019
dc.identifier.issn1815-2406
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/62855
dc.description.abstractA local radial basis function method (LRBF) is applied for the solution of boundary value problems in annular domains governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous Cauchy-Navier equations of elasticity. By appropriately choosing the collocation points we obtain linear systems in which the coefficient matrices possess block sparse circulant structures and which can be solved efficiently using matrix decomposition algorithms (MDAs) and fast Fourier transforms (FFTs). The MDAs used are appropriately modified to take into account the sparsity of the arrays involved in the discretization. The leave-oneout cross validation (LOOCV) algorithm is employed to obtain a suitable value for the shape parameter in the radial basis functions (RBFs) used. The selection of the nearest centres for each local influence domain is carried out using a modification of the kdtree algorithm. In several numerical experiments, it is demonstrated that the proposed algorithm is both accurate and capable of solving large scale problems.en
dc.sourceCommunications in Computational Physicsen
dc.source.urihttp://www.global-sci.com/intro/article_detail/cicp/12662.html
dc.titleLocal RBF Algorithms for Elliptic Boundary Value Problems in Annular Domainsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.4208/cicp.OA-2018-0031
dc.description.volume25
dc.description.issue1
dc.description.startingpage41
dc.description.endingpage67
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.abbreviationCiCPen
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