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The method of fundamental solutions applied to boundary value problems on the surface of a sphere

dc.contributor.authorAlves, Carlos J. S.
dc.contributor.authorAntunes, Pedro R. S.
dc.date.accessioned2018-02-22T12:28:15Z
dc.date.available2019-12-16T01:30:51Z
dc.date.issued2018
dc.description.abstractIn this work we propose using the method of fundamental solutions (MFS) to solve boundary value problems for the Helmholtz–Beltrami equation on a sphere. We prove density and convergence results that justify the proposed MFS approximation. Several numerical examples are considered to illustrate the good performance of the method.pt_PT
dc.description.sponsorshipC.A. was partially supported by the FCT scientific project UID/MULTI/04621/2013. P.A. was partially supported by FCT, Portugal, through the program ’’Investigador FCT’’ with reference IF/00177/2013 and the FCT scientific project PTDC/MATCAL/4334/2014.pt_PT
dc.description.sponsorshipPTDC/MATCAL/4334/2014
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttps://doi.org/10.1016/j.camwa.2017.12.015pt_PT
dc.identifier.issn0898-1221
dc.identifier.urihttp://hdl.handle.net/10400.2/7171
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.subjectMethod of fundamental solutionspt_PT
dc.subjectLaplace-Beltrami operatorpt_PT
dc.subjectBoundary value problempt_PT
dc.subjectSpherept_PT
dc.titleThe method of fundamental solutions applied to boundary value problems on the surface of a spherept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleComputers and Mathematics with Applicationspt_PT
person.familyNameAntunes
person.givenNamePedro
person.identifier.ciencia-id6710-138C-A69D
person.identifier.orcid0000-0003-1969-1860
person.identifier.ridM-2406-2015
person.identifier.scopus-author-id55346859100
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationbef314d2-4a78-4fba-aecd-9f4e8e19e70c
relation.isAuthorOfPublication.latestForDiscoverybef314d2-4a78-4fba-aecd-9f4e8e19e70c

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