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dc.contributor.authorCusimano, N. 
dc.contributor.authorDel Teso, F.
dc.contributor.authorGerardo-Giorda, L.
dc.contributor.authorPagnini, G. 
dc.date.accessioned2017-08-07T06:38:16Z
dc.date.available2017-08-07T06:38:16Z
dc.date.issued2017-04-28
dc.identifier.issn1095-7170
dc.identifier.urihttp://hdl.handle.net/20.500.11824/718
dc.description.abstractIn this work, we propose novel discretisations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heat-semigroup formalism. Specifically, we combine suitable quadrature formulas of the integral with a finite element method for the approximation of the solution of the corresponding heat equation. We derive two families of discretisations with order of convergence depending on the regularity of the domain and the function on which the fractional Laplacian is acting. Unlike other existing approaches in literature, our method does not require the computation of the eigenpairs of the Laplacian on the considered domain, can be implemented on possibly irregular bounded domains, and can naturally handle different types of boundary constraints. Various numerical simulations are provided to illustrate performance of the proposed method and support our theoretical results.en_US
dc.description.sponsorshipFdT acknowledges support of Toppforsk project Waves and Nonlinear Phenomena (WaNP), grant no. 250070 from the Research Council of Norway. ERCIM ``Alain Benoussan" Fellowship programmeen_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectFractional Laplacianen_US
dc.subjectBounded Domainen_US
dc.subjectHomogeneous and Nonhomogeneous Boundary Conditionsen_US
dc.subjectHeat-Semigroup Formulationen_US
dc.subjectFinite elementsen_US
dc.subjectIntegral Quadratureen_US
dc.titleDiscretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditionsen_US
dc.typeinfo:eu-repo/semantics/conferenceObjecten_US
dc.identifier.doi10.1137/17M1128010
dc.relation.publisherversionhttps://epubs.siam.org/doi/10.1137/17M1128010
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2016-76016-Ren_US
dc.relation.projectIDES/1PE/MTM2015-69992-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España