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Solving boundary value problems on manifolds with a plane waves method

2020Journal article Restricted access
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dc.contributor.authorAlves, Carlos J. S.
dc.contributor.authorAntunes, Pedro R. S.
dc.contributor.authorMartins, Nuno F. M.
dc.contributor.authorValtchev, Svilen S.
dc.date.accessioned2020-05-11T13:56:07Z
dc.date.available2020-05-11T13:56:07Z
dc.date.issued2020
dc.description.abstractIn this paper we consider a plane waves method as a numerical technique for solving boundary value problems for linear partial di erential equations on man- ifolds. In particular, the method is applied to the Helmholtz–Beltrami equations. We prove density results that justify the completeness of the plane waves space and justify the approximation of domain and boundary data. A-posteriori error estimates and numerical experiments show that this simple technique may be used to accurately solve boundary value problems on manifolds.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.aml.2020.106426pt_PT
dc.identifier.issn0893-9659
dc.identifier.urihttp://hdl.handle.net/10400.2/9684
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0893965920301919pt_PT
dc.subjectMeshfree methodpt_PT
dc.subjectPlane waves methodpt_PT
dc.subjectHelmholtz–Beltrami operatorpt_PT
dc.subjectManifoldspt_PT
dc.titleSolving boundary value problems on manifolds with a plane waves methodpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-CAL%2F4334%2F2014/PT
oaire.citation.startPage106426pt_PT
oaire.citation.titleApplied Mathematics Letterspt_PT
oaire.citation.volume107pt_PT
oaire.fundingStream3599-PPCDT
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
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscoverybef314d2-4a78-4fba-aecd-9f4e8e19e70c
relation.isProjectOfPublication259186c3-0d02-4228-a8e8-aacad9f74b0e
relation.isProjectOfPublication.latestForDiscovery259186c3-0d02-4228-a8e8-aacad9f74b0e

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