Publicación:
ANALYSIS AND APPROXIMATION OF A VORTICITY-VELOCITY-PRESSURE FORMULATION FOR THE OSEEN EQUATIONS

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2019
dc.date.accessioned2025-01-10T15:05:36Z
dc.date.available2025-01-10T15:05:36Z
dc.date.issued2019
dc.description.abstractWE INTRODUCE A FAMILY OF MIXED METHODS AND DISCONTINUOUS GALERKIN DISCRETISATIONS DESIGNED TO NUMERICALLY SOLVE THE OSEEN EQUATIONS WRITTEN IN TERMS OF VELOCITY, VORTICITY, AND BERNOULLI PRESSURE. THE UNIQUE SOLVABILITY OF THE CONTINUOUS PROBLEM IS ADDRESSED BY INVOKING A GLOBAL INF-SUP PROPERTY IN AN ADEQUATE ABSTRACT SETTING FOR NON-SYMMETRIC SYSTEMS. THE PROPOSED FINITE ELEMENT SCHEMES, WHICH PRODUCE EXACTLY DIVERGENCE-FREE DISCRETE VELOCITIES, ARE SHOWN TO BE WELL-DEFINED AND OPTIMAL CONVERGENCE RATES ARE DERIVED IN SUITABLE NORMS. THIS MIXED FINITE ELEMENT METHOD IS ALSO PRESSURE-ROBUST. IN ADDITION, WE ESTABLISH OPTIMAL RATES OF CONVERGENCE FOR A CLASS OF DISCONTINUOUS GALERKIN SCHEMES, WHICH EMPLOY STABILISATION. A SET OF NUMERICAL EXAMPLES SERVES TO ILLUSTRATE SALIENT FEATURES OF THESE METHODS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10915-019-00990-7
dc.identifier.issn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10383
dc.languagespa
dc.publisherJOURNAL OF SCIENTIFIC COMPUTING
dc.relation.uri10.1007/s10915-019-00990-7
dc.rightsPUBLICADA
dc.titleANALYSIS AND APPROXIMATION OF A VORTICITY-VELOCITY-PRESSURE FORMULATION FOR THE OSEEN 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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