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The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions

dc.contributor.authorLi, M.en
dc.contributor.authorChen, C. S.en
dc.contributor.authorKarageorghis, Andreasen
dc.creatorLi, M.en
dc.creatorChen, C. S.en
dc.creatorKarageorghis, Andreasen
dc.date.accessioned2019-12-02T10:36:46Z
dc.date.available2019-12-02T10:36:46Z
dc.date.issued2013
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57239
dc.description.abstractWe investigate applications of the method of fundamental solutions (MFS) for the numerical solution of two-dimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet boundary conditions which are not harmonic. Such problems can be very challenging because of the appearance of boundary singularities. We consider several ways of choosing the boundary collocation points as well as the source points in the MFS. We show that with an appropriate such choice the MFS yields highly accurate results. © 2013 Elsevier Ltd. All rights reserved.en
dc.sourceComputers and Mathematics with Applicationsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84893030409&doi=10.1016%2fj.camwa.2013.09.004&partnerID=40&md5=3593db004cd937f2788b2f12aacbb489
dc.subjectIntegrodifferential equationsen
dc.subjectNumerical solutionen
dc.subjectBoundary conditionsen
dc.subjectComplex geometriesen
dc.subjectHarmonic analysisen
dc.subjectMethod of fundamental solutionsen
dc.subjectLaplace equationen
dc.subjectDirichlet boundary conditionen
dc.subjectNon-harmonic boundary conditionsen
dc.subjectBoundary singularitiesen
dc.subjectCollocation pointsen
dc.subjectHighly accurateen
dc.subjectTwo-dimensional boundary value problemsen
dc.titleThe MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditionsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.camwa.2013.09.004
dc.description.volume66
dc.description.issue11
dc.description.startingpage2400
dc.description.endingpage2424
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.abbreviationComput.Math.Appl.en
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.gnosis.orcid0000-0002-8399-6880


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