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Applying the method of fundamental solutions to harmonic problems with singular boundary conditions

2017-07Conference paper Restricted access
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dc.contributor.authorValtchev, Svilen
dc.contributor.authorAlves, Carlos J. S.
dc.date.accessioned2025-09-05T11:10:16Z
dc.date.available2025-09-05T11:10:16Z
dc.date.issued2017-07
dc.description.abstractThe method of fundamental solutions (MFS) is known to produce highly accurate numerical results for elliptic boundary value problems (BVP) with smooth boundary conditions, posed in analytic domains. However, due to the analyticity of the shape functions in its approximation basis, theMFS is usually disregarded when the boundary functions possess singularities. In this work we present a modification of the classical MFS which can be applied for the numerical solution of the Laplace BVP with Dirichlet boundary conditions exhibiting jump discontinuities. In particular, a set of harmonic functions with discontinuous boundary traces is added to the MFS basis. The accuracy of the proposed method is compared with the results form the classical MFS.eng
dc.description.sponsorshipThe financial support from Center for Computational and Stochastic Mathematics (CEMAT–IST) through Fundac¸ ˜ao para a Ciˆencia e a Tecnologia (FCT) projects PEst-OE/MAT/UI0822/2014 and EXCL/MAT-NAN/0114/2012 is gratefully acknowledged.
dc.identifier.citationValtchev, Svilen & Alves, Carlos. (2017). Applying the method of fundamental solutions to harmonic problems with singular boundary conditions. AIP Conference Proceedings. 1863. 560020. 10.1063/1.4992703
dc.identifier.doi10.1063/1.4992703
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/13996
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmerican Institute of Physics
dc.relationPEst-OE/MAT/UI0822/2014
dc.relationEXCL/MAT-NAN/0114/2012
dc.relation.hasversionhttps://pubs.aip.org/aip/acp
dc.relation.ispartofAIP Conference Proceedings
dc.rights.uriN/A
dc.titleApplying the method of fundamental solutions to harmonic problems with singular boundary conditionseng
dc.typeconference paper
dspace.entity.typePublication
oaire.citation.conferenceDate2017
oaire.citation.endPage560020-4
oaire.citation.startPage560020-1
oaire.citation.titleInternational Conference of Numerical Analysis and Applied Mathematics
oaire.citation.volume1863
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameValtchev
person.givenNameSvilen
person.identifier.ciencia-idAF1E-BD9D-A8D7
person.identifier.gsidhttps://scholar.google.com/citations?user=MtxwhiUAAAAJ&hl=en
person.identifier.orcid0000-0002-3474-2788
person.identifier.scopus-author-id8361079200
relation.isAuthorOfPublicationb6302c21-a0e4-4419-967b-0a1bac949132
relation.isAuthorOfPublication.latestForDiscoveryb6302c21-a0e4-4419-967b-0a1bac949132

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