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A C1-VIRTUAL ELEMENT METHOD OF HIGH ORDER FOR THE BRINKMAN EQUATIONS IN STREAM FUNCTION FORMULATION WITH PRESSURE RECOVERY

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dc.creatorALBERTH ANTONIO SILGADO BALLESTA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2021
dc.date.accessioned2025-01-10T15:25:15Z
dc.date.available2025-01-10T15:25:15Z
dc.date.issued2021
dc.description.abstractIN THIS PAPER, WE PROPOSE AND ANALYZE A C1-VIRTUAL ELEMENT METHOD OF HIGH ORDER TO SOLVE THE BRINKMAN PROBLEM FORMULATED IN TERMS OF THE STREAM FUNCTION. THE VELOCITY IS OBTAINED AS A SIMPLE POST-PROCESS FROM STREAM FUNCTION AND A NOVEL STRATEGY IS WRITTEN TO RECOVER THE FLUID PRESSURE. WE ESTABLISH OPTIMAL A PRIORI ERROR ESTIMATES FOR THE STREAM FUNCTION, VELOCITY AND PRESSURE WITH CONSTANTS INDEPENDENT OF THE VISCOSITY. FINALLY, WE REPORT SOME NUMERICAL TEST ILLUSTRATING THE BEHAVIOR OF THE VIRTUAL SCHEME AND SUPPORTING OUR THEORETICAL RESULTS ON DIFFERENT FAMILIES OF POLYGONAL MESHES.
dc.formatapplication/pdf
dc.identifier.doi10.1093/imanum/drab078
dc.identifier.issn1464-3642
dc.identifier.issn0272-4979
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11932
dc.languagespa
dc.publisherIMA JOURNAL OF NUMERICAL ANALYSIS
dc.relation.uri10.1093/imanum/drab078
dc.rightsPUBLICADA
dc.titleA C1-VIRTUAL ELEMENT METHOD OF HIGH ORDER FOR THE BRINKMAN EQUATIONS IN STREAM FUNCTION FORMULATION WITH PRESSURE RECOVERY
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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