Publication
The method of fundamental solutions applied to boundary value problems on the surface of a sphere
dc.contributor.author | Alves, Carlos J. S. | |
dc.contributor.author | Antunes, Pedro R. S. | |
dc.date.accessioned | 2018-02-22T12:28:15Z | |
dc.date.available | 2019-12-16T01:30:51Z | |
dc.date.issued | 2018 | |
dc.description.abstract | In 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.sponsorship | C.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.sponsorship | PTDC/MATCAL/4334/2014 | |
dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
dc.identifier.doi | https://doi.org/10.1016/j.camwa.2017.12.015 | pt_PT |
dc.identifier.issn | 0898-1221 | |
dc.identifier.uri | http://hdl.handle.net/10400.2/7171 | |
dc.language.iso | eng | pt_PT |
dc.peerreviewed | yes | pt_PT |
dc.publisher | Elsevier | pt_PT |
dc.subject | Method of fundamental solutions | pt_PT |
dc.subject | Laplace-Beltrami operator | pt_PT |
dc.subject | Boundary value problem | pt_PT |
dc.subject | Sphere | pt_PT |
dc.title | The method of fundamental solutions applied to boundary value problems on the surface of a sphere | pt_PT |
dc.type | journal article | |
dspace.entity.type | Publication | |
oaire.citation.title | Computers and Mathematics with Applications | pt_PT |
person.familyName | Antunes | |
person.givenName | Pedro | |
person.identifier.ciencia-id | 6710-138C-A69D | |
person.identifier.orcid | 0000-0003-1969-1860 | |
person.identifier.rid | M-2406-2015 | |
person.identifier.scopus-author-id | 55346859100 | |
rcaap.rights | restrictedAccess | pt_PT |
rcaap.type | article | pt_PT |
relation.isAuthorOfPublication | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c |