Publicación:
MIXED METHODS FOR A STREAM-FUNCTION - VORTICITY FORMULATION OF THE AXISYMMETRIC BRINKMAN EQUATIONS

Vista sencilla de ítem
dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2017
dc.date.accessioned2025-01-10T14:44:43Z
dc.date.available2025-01-10T14:44:43Z
dc.date.issued2017
dc.description.abstractTHIS PAPER IS DEVOTED TO THE NUMERICAL ANALYSIS OF A FAMILY OF FINITE ELEMENT APPROXIMATIONS FOR THE AXISYMMETRIC, MERIDIAN BRINKMAN EQUATIONS WRITTEN IN TERMS OF THE STREAM-FUNCTION AND VORTICITY. A MIXED FORMULATION IS INTRODUCED INVOLVING APPROPRIATE WEIGHTED SOBOLEV SPACES, WHERE WELL-POSEDNESS IS DERIVED BY MEANS OF THE BABU?KA?BREZZI THEORY. WE INTRODUCE A SUITABLE GALERKIN DISCRETIZATION BASED ON CONTINUOUS PIECEWISE POLYNOMIALS OF DEGREE K?1 FOR ALL THE UNKNOWNS, WHERE ITS SOLVABILITY IS ESTABLISHED USING THE SAME FRAMEWORK AS THE CONTINUOUS PROBLEM. OPTIMAL A PRIORI ERROR ESTIMATES ARE DERIVED, WHICH ARE ROBUST WITH RESPECT TO THE FLUID VISCOSITY, AND VALID ALSO IN THE PURE DARCY LIMIT. A FEW NUMERICAL EXAMPLES ARE PRESENTED TO ILLUSTRATE THE CONVERGENCE AND PERFORMANCE OF THE PROPOSED SCHEMES.
dc.formatapplication/pdf
dc.identifier.issn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8780
dc.languagespa
dc.publisherJOURNAL OF SCIENTIFIC COMPUTING
dc.rightsPUBLICADA
dc.titleMIXED METHODS FOR A STREAM-FUNCTION - VORTICITY FORMULATION OF THE AXISYMMETRIC BRINKMAN EQUATIONS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
Archivos
Colecciones
Artículos científicos