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A VIRTUAL ELEMENT METHOD FOR THE STEKLOV EIGENVALUE PROBLEM ALLOWING SMALL EDGES

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2021
dc.date.accessioned2025-01-10T15:22:39Z
dc.date.available2025-01-10T15:22:39Z
dc.date.issued2021
dc.description.abstractTHE AIM OF THIS PAPER IS TO ANALYZE THE INFLUENCE OF SMALL EDGES IN THE COMPUTATION OF THE SPECTRUM OF THE STEKLOV EIGENVALUE PROBLEM BY A LOWEST ORDER VIRTUAL ELEMENT METHOD. UNDER WEAKER ASSUMPTIONS ON THE POLYGONAL MESHES, WHICH CAN PERMIT ARBITRARILY SMALL EDGES WITH RESPECT TO THE ELEMENT DIAMETER, WE SHOW THAT THE SCHEME PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND PROVE OPTIMAL ERROR ESTIMATES FOR THE EIGENFUNCTIONS AND A DOUBLE ORDER FOR THE EIGENVALUES. FINALLY, WE REPORT SOME NUMERICAL TESTS SUPPORTING THE THEORETICAL RESULTS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10915-021-01555-3
dc.identifier.issn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11726
dc.languagespa
dc.publisherJOURNAL OF SCIENTIFIC COMPUTING
dc.relation.uri10.1007/s10915-021-01555-3
dc.rightsPUBLICADA
dc.titleA VIRTUAL ELEMENT METHOD FOR THE STEKLOV EIGENVALUE PROBLEM ALLOWING SMALL EDGES
dc.title.alternativeUN MÉTODO DE ELEMENTO VIRTUAL PARA EL PROBLEMA DEL VALOR PROPIO DE STEKLOV QUE PERMITE BORDES PEQUEÑOS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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