Publicación:
A FULLY-DISCRETE VIRTUAL ELEMENT METHOD FOR THE NONSTATIONARY BOUSSINESQ EQUATIONS IN STREAM-FUNCTION FORM

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dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2023
dc.date.accessioned2025-01-10T15:35:54Z
dc.date.available2025-01-10T15:35:54Z
dc.date.issued2023
dc.description.abstractIN THE PRESENT WORK WE PROPOSE AND ANALYZE A FULLY-COUPLED VIRTUAL ELEMENT METHOD OF HIGH ORDER FOR SOLVING THE TWO DIMENSIONAL NONSTATIONARY BOUSSINESQ SYSTEM IN TERMS OF THE STREAM-FUNCTION AND TEMPERATURE FIELDS. THE DISCRETIZATION FOR THE SPATIAL VARIABLES IS BASED ON THE COUPLING C1- AND C0-CONFORMING VIRTUAL ELEMENT APPROACHES, WHILE A BACKWARD EULER SCHEME IS EMPLOYED FOR THE TEMPORAL VARIABLE. WELL-POSEDNESS AND UNCONDITIONAL STABILITY OF THE FULLY-DISCRETE PROBLEM ARE PROVIDED. MOREOVER, ERROR ESTIMATES IN H2- AND H1-NORMS ARE DERIVED FOR THE STREAM-FUNCTION AND TEMPERATURE, RESPECTIVELY. FINALLY, A SET OF BENCHMARK TESTS ARE REPORTED TO CONFIRM THE THEORETICAL ERROR BOUNDS AND ILLUSTRATE THE BEHAVIOR OF THE FULLY-DISCRETE SCHEME.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2023.115947
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12769
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2023.115947
dc.rightsPUBLICADA
dc.subjectVirtual element method
dc.subjectStream-function
dc.subjectNonstationary Boussinesq equations
dc.subjectform
dc.subjectError estimates
dc.titleA FULLY-DISCRETE VIRTUAL ELEMENT METHOD FOR THE NONSTATIONARY BOUSSINESQ EQUATIONS IN STREAM-FUNCTION FORM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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