Publicación:
VELOCITY-VORTICITY-PRESSURE FORMULATION FOR THE OSEEN PROBLEM WITH VARIABLE VISCOSITY

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dc.creatorRUBEN ANTONIO CARABALLO DIAZ
dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2021
dc.date.accessioned2025-01-10T15:24:15Z
dc.date.available2025-01-10T15:24:15Z
dc.date.issued2021
dc.description.abstractWE PROPOSE AND ANALYSE AN AUGMENTED MIXED FINITE ELEMENT METHOD FOR THE OSEEN EQUATIONS WRITTEN IN TERMS OF VELOCITY, VORTICITY, AND PRESSURE WITH NON-CONSTANT VISCOSITY AND HOMOGENEOUS DIRICHLET BOUNDARY CONDITION FOR THE VELOCITY. THE WEAK FORMULATION INCLUDES LEAST-SQUARES TERMS ARISING FROM THE CONSTITUTIVE EQUATION AND FROM THE INCOMPRESSIBILITY CONDITION, AND WE SHOW THAT IT SATISFIES THE HYPOTHESES OF THE BABU?KA-BREZZI THEORY. REPEATING THE ARGUMENTS OF THE CONTINUOUS ANALYSIS, THE STABILITY AND SOLVABILITY OF THE DISCRETE PROBLEM ARE ESTABLISHED. THE METHOD IS SUITED FOR ANY STOKES INF-SUP STABLE FINITE ELEMENT PAIR FOR VELOCITY AND PRESSURE, WHILE FOR VORTICITY ANY GENERIC DISCRETE SPACE (OF ARBITRARY ORDER) CAN BE USED. A PRIORI AND A POSTERIORI ERROR ESTIMATES ARE DERIVED USING TWO SPECIFIC FAMILIES OF DISCRETE SUBSPACES. FINALLY, WE PROVIDE A SET OF NUMERICAL TESTS ILLUSTRATING THE BEHAVIOUR OF THE SCHEME, VERIFYING THE THEORETICAL CONVERGENCE RATES, AND SHOWING THE PERFORMANCE OF THE ADAPTIVE ALGORITHM GUIDED BY RESIDUAL A POSTERIORI ERROR ESTIMATION.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10092-021-00433-6
dc.identifier.issn1126-5434
dc.identifier.issn0008-0624
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11853
dc.languagespa
dc.publisherCALCOLO
dc.relation.uri10.1007/s10092-021-00433-6
dc.rightsPUBLICADA
dc.titleVELOCITY-VORTICITY-PRESSURE FORMULATION FOR THE OSEEN PROBLEM WITH VARIABLE VISCOSITY
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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