Publicación:
A VIRTUAL ELEMENT APPROXIMATION FOR THE PSEUDOSTRESS FORMULATION OF THE STOKES EIGENVALUE PROBLEM.

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2021
dc.date.accessioned2025-01-10T15:20:01Z
dc.date.available2025-01-10T15:20:01Z
dc.date.issued2021
dc.description.abstractIN THIS PAPER WE ANALYZE A VIRTUAL ELEMENT METHOD (VEM) FOR A PSEUDOSTRESS FORMULATION OF THE STOKES EIGENVALUE PROBLEM. THIS FORMULATION ALLOWS TO ELIMINATE THE VELOCITY AND THE PRESSURE, LEADING TO AN ELLIPTIC FORMULATION WHERE THE ONLY UNKNOWN IS THE PSEUDOSTRESS TENSOR. ADAPTING THE NON-COMPACT OPERATOR THEORY, WE PROVE THAT OUR METHOD PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND IS SPURIOUS FREE. WE DERIVE OPTIMAL A PRIORI ERROR ESTIMATES, WHICH WE CONFIRM WITH SOME NUMERICAL TESTS. ALSO WE PRESENT A COMPUTATIONAL SPURIOUS ANALYSIS OF THE PROPOSED METHOD.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2021.113753
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11518
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2021.113753
dc.rightsPUBLICADA
dc.titleA VIRTUAL ELEMENT APPROXIMATION FOR THE PSEUDOSTRESS FORMULATION OF THE STOKES EIGENVALUE PROBLEM.
dc.title.alternativeUNA APROXIMACIÓN DE ELEMENTOS VIRTUALES PARA LA FORMULACIÓN DE PSEUDOSTRÉS DEL PROBLEMA DE VALOR PROPIO DE STOKES.
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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