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A POSTERIORI ERROR ANALYSIS OF A MOMENTUM CONSERVATIVE BANACH SPACES BASED MIXED-FEM FOR THE NAVIER-STOKES PROBLEM

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dc.creatorSEGUNDO ALEXIS VILLA FUENTES
dc.creatorRICARDO ELVIS OYARZÚA VARGAS
dc.date2022
dc.date.accessioned2025-01-10T15:30:46Z
dc.date.available2025-01-10T15:30:46Z
dc.date.issued2022
dc.description.abstractIN THIS PAPER WE DEVELOP AN A POSTERIORI ERROR ANALYSIS OF A NEW MOMENTUM CONSERVATIVE MIXED FINITE ELEMENT METHOD RECENTLY INTRODUCED FOR THE STEADY-STATE NAVIER?STOKES PROBLEM IN TWO AND THREE DIMENSIONS. MORE PRECISELY, BY EXTENDING STANDARD TECHNIQUES COMMONLY USED ON HILBERT SPACES TO THE CASE OF BANACH SPACES, SUCH AS LOCAL ESTIMATES, AND SUITABLE HELMHOLTZ DECOMPOSITIONS, WE DERIVE A RELIABLE AND EFFICIENT RESIDUAL-BASED A POSTERIORI ERROR ESTIMATOR FOR THE CORRESPONDING MIXED FINITE ELEMENT SCHEME ON ARBITRARY (CONVEX OR NON-CONVEX) POLYGONAL AND POLYHEDRAL REGIONS. ON THE OTHER HAND, INVERSE INEQUALITIES, THE LOCALIZATION TECHNIQUE BASED ON BUBBLE FUNCTIONS, AMONG OTHER TOOLS, ARE EMPLOYED TO PROVE THE EFFICIENCY OF THE PROPOSED A POSTERIORI ERROR INDICATOR. FINALLY, SEVERAL NUMERICAL RESULTS CONFIRMING THE PROPERTIES OF THE ESTIMATOR AND ILLUSTRATING THE PERFORMANCE OF THE ASSOCIATED ADAPTIVE ALGORITHM ARE REPORTED.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.apnum.2022.02.014
dc.identifier.issn1873-5460
dc.identifier.issn0168-9274
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12367
dc.languagespa
dc.publisherAPPLIED NUMERICAL MATHEMATICS
dc.relation.uri10.1016/j.apnum.2022.02.014
dc.rightsRESTRICTED ACCESS
dc.subjectEfficiency
dc.subjectReliability
dc.subjectA posteriori
dc.subjectRaviart-Thomas elements
dc.subjectBanach spaces
dc.subjectMixed finite element method
dc.subjectMomentum conservativity
dc.subjectNavier-Stokes
dc.titleA POSTERIORI ERROR ANALYSIS OF A MOMENTUM CONSERVATIVE BANACH SPACES BASED MIXED-FEM FOR THE NAVIER-STOKES PROBLEM
dc.title.alternativeA POSTERIORI ERROR ANÁLISIS DE UN IMPULSO CONSERVADOR DE ESPACIOS DE BANACH BASADOS EN MIXTO-FEM PARA EL NAVIER- PROBLEMA DE STOKES
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceUBB- UNIVERSIDAD DEL BÍO-BÍO
oaire.fundingReferenceANID- AGENCIA NACIONAL DE INVESTIGACIÓN Y DESARROLLO (EX CONICYT)
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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