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A STREAM VIRTUAL ELEMENT FORMULATION OF THE STOKES PROBLEM ON POLYGONAL MESHES

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dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2014
dc.date.accessioned2025-01-10T14:30:17Z
dc.date.available2025-01-10T14:30:17Z
dc.date.issued2014
dc.description.abstractIN THIS PAPER WE PROPOSE AND ANALYZE A NOVEL STREAM FORMULATION OF THE VIRTUAL ELEMENT METHOD (VEM) FOR THE SOLUTION OF THE STOKES PROBLEM. THE NEW FORMULATION HINGES UPON THE INTRODUCTION OF A SUITABLE STREAM FUNCTION SPACE (CHARACTERIZING THE DIVERGENCE FREE SUBSPACE OF DISCRETE VELOCITIES) AND IT IS EQUIVALENT TO THE VELOCITY-PRESSURE (INF-SUP STABLE) MIMETIC SCHEME PRESENTED IN [L. BEIRA?O DA VEIGA ET AL., J. COMPUT. PHYS., 228 (2009), PP. 7215--7232] (UP TO A SUITABLE REFORMULATION INTO THE VEM FRAMEWORK). BOTH SCHEMES ARE THUS STABLE AND LINEARLY CONVERGENT BUT THE NEW METHOD RESULTS TO BE MORE DESIRABLE AS IT EMPLOYS MUCH LESS DEGREES OF FREEDOM AND IT IS BASED ON A POSITIVE DEFINITE ALGEBRAIC PROBLEM. SEVERAL NUMERICAL EXPERIMENTS ASSESS THE CONVERGENCE PROPERTIES OF THE NEW METHOD AND SHOW ITS COMPUTATIONAL ADVANTAGES WITH RESPECT TO THE MIMETIC ONE.
dc.formatapplication/pdf
dc.identifier.doi10.1137/13091141X
dc.identifier.issn1095-7170
dc.identifier.issn0036-1429
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7720
dc.languagespa
dc.publisherSIAM JOURNAL ON NUMERICAL ANALYSIS
dc.relation.uri10.1137/13091141X
dc.rightsPUBLICADA
dc.subjectVIRTUAL ELEMENTS
dc.subjectSTREAM FUNCTION FORMULATION
dc.subjectSTOKES PROBLEM
dc.subjectPOLYGONAL MESHES
dc.subjectMIMETIC FINITE DIFFERENCES
dc.titleA STREAM VIRTUAL ELEMENT FORMULATION OF THE STOKES PROBLEM ON POLYGONAL MESHES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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