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FINITE ELEMENT ANALYSIS OF THE OSEEN EIGENVALUE PROBLEM

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2024
dc.date.accessioned2025-01-10T15:50:55Z
dc.date.available2025-01-10T15:50:55Z
dc.date.issued2024
dc.description.abstractWE PROPOSE AND ANALYZE A FINITE ELEMENT METHOD FOR THE OSEEN EIGENVALUE PROBLEM. THIS PROBLEM IS AN EXTENSION OF THE STOKES EIGENVALUE PROBLEM, WHERE THE PRESENCE OF THE CONVECTIVE TERM LEADS TO A NON-SYMMETRIC PROBLEM AND HENCE, TO COMPLEX EIGENVALUES AND EIGENFUNCTIONS. WITH THE AID OF THE COMPACT OPERATORS THEORY, WE PROVE THAT FOR INF-SUP STABLE FINITE ELEMENTS THE CONVERGENCE HOLDS AND HENCE, ERROR ESTIMATES FOR THE EIGENVALUES AND EIGENFUNCTIONS ARE DERIVED. WE ALSO PROPOSE AN A POSTERIORI ERROR ESTIMATOR WHICH RESULTS TO BE RELIABLE AND EFFICIENT. WE REPORT A SERIES OF NUMERICAL TESTS IN TWO AND THREE DIMENSION IN ORDER TO ASSESS THE PERFORMANCE OF THE METHOD AND THE PROPOSED ESTIMATOR.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2024.116959
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13933
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2024.116959
dc.rightsPUBLICADA
dc.subjectOseen equations
dc.subjectMixed problems
dc.subjectError estimates
dc.subjectEigenvalue problems
dc.titleFINITE ELEMENT ANALYSIS OF THE OSEEN EIGENVALUE PROBLEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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