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Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorLópez Yela, Alberto
dc.contributor.authorPérez Pardo, Juan Manuel
dc.date.accessioned2021-02-22T12:00:23Z
dc.date.available2021-02-22T12:00:23Z
dc.date.issued2017-10-15
dc.description.abstractA numerical scheme to compute the spectrum of a large class of self-adjoint extensions of the Laplace-Beltrami operator on manifolds with boundary in any dimension is presented. The algorithm is based on the characterisation of a large class of self-adjoint extensions of Laplace-Beltrami operators in terms of their associated quadratic forms. The convergence of the scheme is proved. A two-dimensional version of the algorithm is implemented effectively and several numerical examples are computed showing that the algorithm treats in a unified way a wide variety of boundary conditions.en
dc.format.extent26
dc.identifier.bibliographicCitationLópez-Yela, A., Pérez-Pardo, J. M. (2017). Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace–Beltrami operator on manifolds with a boundary. Journal of Computational Physics, 347, 235–260.en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2017.06.043
dc.identifier.issn0021-9991
dc.identifier.publicationfirstpage235
dc.identifier.publicationlastpage260
dc.identifier.publicationtitleJournal of Computational Physicsen
dc.identifier.publicationvolume347
dc.identifier.urihttps://hdl.handle.net/10016/31986
dc.identifier.uxxiAR/0000026667
dc.language.isoeng
dc.publisherElsevier
dc.rights© 2017 Elsevier
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherSelf-adjoint extensionsen
dc.subject.otherSpectral problemen
dc.subject.otherLaplaceen
dc.subject.otherHigher dimensionen
dc.subject.otherBoundary conditionsen
dc.subject.otherFinite element methoden
dc.titleFinite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundaryen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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