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A VIRTUAL ELEMENT METHOD FOR THE ACOUSTIC VIBRATION PROBLEM

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dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2017
dc.date.accessioned2025-01-10T14:30:22Z
dc.date.available2025-01-10T14:30:22Z
dc.date.issued2017
dc.description.abstractWE ANALYZE IN THIS PAPER A VIRTUAL ELEMENT APPROXIMATION FOR THE ACOUSTIC VIBRATION PROBLEM. WE CONSIDER A VARIATIONAL FORMULATION RELYING ONLY ON THE FLUID DISPLACEMENT AND PROPOSE A DISCRETIZATION BY MEANS OF H(DIV) VIRTUAL ELEMENTS WITH VANISHING ROTOR. UNDER STANDARD ASSUMPTIONS ON THE MESHES, WE SHOW THAT THE RESULTING SCHEME PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND PROVE OPTIMAL ORDER ERROR ESTIMATES. WITH THIS END, WE PROVE APPROXIMATION PROPERTIES OF THE PROPOSED VIRTUAL ELEMENTS. WE ALSO REPORT SOME NUMERICAL TESTS SUPPORTING OUR THEORETICAL RESULTS.
dc.formatapplication/pdf
dc.identifier.doi10.48550/arXiv.1601.04316
dc.identifier.issn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7727
dc.languagespa
dc.publisherNUMERISCHE MATHEMATIK
dc.relation.uri10.48550/arXiv.1601.04316
dc.rightsPUBLICADA
dc.titleA VIRTUAL ELEMENT METHOD FOR THE ACOUSTIC VIBRATION PROBLEM
dc.title.alternativeUN MÉTODO DE ELEMENTO VIRTUAL PARA EL PROBLEMA DE LA VIBRACIÓN ACÚSTICA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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