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A C1 VIRTUAL ELEMENT METHOD FOR THE STATIONARY QUASI-GEOSTROPHIC EQUATIONS OF THE OCEAN

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dc.creatorALBERTH ANTONIO SILGADO BALLESTA
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2022
dc.date.accessioned2025-01-10T15:30:28Z
dc.date.available2025-01-10T15:30:28Z
dc.date.issued2022
dc.description.abstractIN THIS PRESENT PAPER, WE PROPOSE AND ANALYZE A -CONFORMING VIRTUAL ELEMENT METHOD TO SOLVE THE SO-CALLED ONE-LAYER STATIONARY QUASI-GEOSTROPHIC EQUATIONS (QGE) WITH APPLICATIONS IN THE LARGE SCALE WIND-DRIVEN OCEAN CIRCULATION, FORMULATED IN TERMS OF THE STREAM-FUNCTION. THIS PROBLEM CORRESPONDS TO A NONLINEAR FOURTH ORDER PARTIAL DIFFERENTIAL EQUATION. THE VIRTUAL SPACE AND THE DISCRETE SCHEME ARE BUILT IN A STRAIGHTFORWARD WAY DUE TO THE FLEXIBILITY OF THE VIRTUAL APPROACH. UNDER THE ASSUMPTION OF SMALL DATA, WE PROVE WELL-POSEDNESS OF THE DISCRETE PROBLEM BY USING A FIXED-POINT STRATEGY AND UNDER STANDARD ASSUMPTIONS ON THE COMPUTATIONAL DOMAIN, WE ESTABLISH ERROR ESTIMATES IN -NORM FOR THE STREAM-FUNCTION. FINALLY, WE REPORT FOUR NUMERICAL EXPERIMENTS THAT ILLUSTRATE THE BEHAVIOR OF THE PROPOSED SCHEME AND CONFIRM OUR THEORETICAL RESULTS ON DIFFERENT FAMILIES OF POLYGONAL MESHES.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.camwa.2021.05.022
dc.identifier.issn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12343
dc.languagespa
dc.publisherCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.relation.uri10.1016/j.camwa.2021.05.022
dc.rightsPUBLICADA
dc.titleA C1 VIRTUAL ELEMENT METHOD FOR THE STATIONARY QUASI-GEOSTROPHIC EQUATIONS OF THE OCEAN
dc.title.alternativeUN MÉTODO DE ELEMENTO VIRTUAL C1 PARA LAS ECUACIONES CUASI GEOSTRÓFICAS ESTACIONARIAS DEL OCÉANO
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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