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DISPLACEMENT-PSEUDOSTRESS FORMULATION FOR THE LINEAR ELASTICITY SPECTRAL PROBLEM

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2022
dc.date.accessioned2025-01-10T15:34:45Z
dc.date.available2025-01-10T15:34:45Z
dc.date.issued2022
dc.description.abstractIN THIS PAPER WE ANALYZE A MIXED DISPLACEMENT-PSEUDOSTRESS FORMULATION FOR THE ELASTICITY EIGENVALUE PROBLEM. WE PROPOSE A FINITE ELEMENT METHOD TO APPROXIMATE THE PSEUDOSTRESS TENSOR WITH RAVIART-THOMAS ELEMENTS AND THE DISPLACEMENT WITH PIECEWISE POLYNOMIALS. WITH THE AID OF THE CLASSIC THEORY FOR COMPACT OPERATORS, WE PROVE THAT OUR METHOD IS CONVERGENT AND DOES NOT INTRODUCE SPURIOUS MODES. ALSO, WE OBTAIN ERROR ESTIMATES FOR THE PROPOSED METHOD. FINALLY, WE REPORT SOME NUMERICAL TESTS SUPPORTING THE THEORETICAL RESULTS.
dc.formatapplication/pdf
dc.identifier.doi/10.1002/ num.2295 5
dc.identifier.issn1098-2426
dc.identifier.issn0749-159X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12677
dc.languagespa
dc.publisherNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
dc.relation.uri/10.1002/ num.2295 5
dc.rightsPUBLICADA
dc.subjectPROBLEMAS DE VALORES PROPIOS
dc.subjectMÉTODOS DE GALERKIN DISCONTINUOS
dc.subjectMÉTODOS DE ELEMENTOS FINITOS
dc.subjectFORMULACIÓN MIXTA
dc.subjectESTIMACIONES DE ERRORES
dc.subjectECUACIONES DE ELASTICIDAD
dc.subjectAPROXIMACIÓN
dc.subjectA-PRIORI
dc.titleDISPLACEMENT-PSEUDOSTRESS FORMULATION FOR THE LINEAR ELASTICITY SPECTRAL PROBLEM
dc.title.alternativeDESPLAZAMIENTO-PSEUDOESTRÉS FORMULACIÓN PARA EL LINEAL ELASTICIDAD ESPECTRAL PROBLEMA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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