Publicación:
MIXED DISCONTINUOUS GALERKIN APPROXIMATION OF THE ELASTICITY EIGENPROBLEM

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2019
dc.date.accessioned2025-01-10T15:11:12Z
dc.date.available2025-01-10T15:11:12Z
dc.date.issued2019
dc.description.abstractWE INTRODUCE A DISCONTINUOUS GALERKIN METHOD FOR THE MIXED FORMULATION OF THE ELASTICITY EIGENPROBLEM WITH REDUCED SYMMETRY. THE ANALYSIS OF THE RESULTING DISCRETE EIGENPROBLEM DOES NOT FIT IN THE STANDARD SPECTRAL APPROXIMATION FRAMEWORK SINCE THE UNDERLYING SOURCE OPERATOR IS NOT COMPACT AND THE SCHEME IS NONCONFORMING. WE SHOW THAT THE PROPOSED SCHEME PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND PROVE ASYMPTOTIC ERROR ESTIMATES FOR THE EIGENVALUES AND THE EIGENFUNCTIONS. FINALLY, WE PROVIDE SEVERAL NUMERICAL TESTS TO ILLUSTRATE THE PERFORMANCE OF THE METHOD AND CONFIRM THE THEORETICAL RESULTS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s00211-019-01035-9
dc.identifier.issn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10829
dc.languagespa
dc.publisherNUMERISCHE MATHEMATIK
dc.relation.uri10.1007/s00211-019-01035-9
dc.rightsPUBLICADA
dc.titleMIXED DISCONTINUOUS GALERKIN APPROXIMATION OF THE ELASTICITY EIGENPROBLEM
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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