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AN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE VORTICITY-VELOCITY-PRESSURE FORMULATION OF THE STOKES EQUATIONS

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2013
dc.date.accessioned2025-01-10T14:30:58Z
dc.date.available2025-01-10T14:30:58Z
dc.date.issued2013
dc.description.abstractTHIS PAPER DEALS WITH THE NUMERICAL APPROXIMATION OF THE STATIONARY TWO-DIMENSIONAL STOKES EQUATIONS, FORMULATED IN TERMS OF VORTICITY, VELOCITY AND PRESSURE, WITH NON-STANDARD BOUNDARY CONDITIONS. HERE, BY INTRODUCING A GALERKIN LEAST-SQUARES TERM, WE END UP WITH A STABILIZED VARIATIONAL FORMULATION THAT CAN BE RECAST AS A TWOFOLD SADDLE POINT PROBLEM. WE PROPOSE TWO FAMILIES OF MIXED FINITE ELEMENTS TO SOLVE THE DISCRETE PROBLEM, IN THE FIRST FAMILY, THE UNKNOWNS ARE APPROXIMATED BY PIECEWISE CONTINUOUS AND QUADRATIC ELEMENTS, BREZZI?DOUGLAS?MARINI, AND PIECEWISE CONSTANT FINITE ELEMENTS, RESPECTIVELY, WHILE IN THE SECOND FAMILY, THE UNKNOWNS ARE APPROXIMATED BY PIECEWISE LINEAR AND CONTINUOUS, RAVIART?THOMAS, AND PIECEWISE CONSTANT FINITE ELEMENTS, RESPECTIVELY. THE WELLPOSEDNESS OF THE RESULTING CONTINUOUS AND DISCRETE VARIATIONAL PROBLEMS ARE STUDIED EMPLOYING AN EXTENSION OF THE BABU?KA?BREZZI THEORY. WE ESTABLISH A PRIORI ERROR ESTIMATES IN THE NATURAL NORMS, AND WE FINALLY REPORT SOME NUMERICAL EXPERIMENTS ILLUSTRATING THE BEHAVIOR OF THE PROPOSED SCHEMES AND CONFIRMING OUR THEORETICAL FINDINGS ON STRUCTURED AND UNSTRUCTURED MESHES. ADDITIONAL EXAMPLES OF CASES NOT COVERED BY OUR THEORY ARE ALSO PRESENTED.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2013.08.011
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7769
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2013.08.011
dc.rightsPUBLICADA
dc.subjectVORTICITY-BASED FORMULATION
dc.subjectSTOKES EQUATIONS
dc.subjectMIXED FINITE ELEMENTS
dc.subjectERROR ANALYSIS
dc.titleAN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE VORTICITY-VELOCITY-PRESSURE FORMULATION OF THE STOKES EQUATIONS
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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