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ERROR ESTIMATES FOR FEM DISCRETIZATIONS OF THE NAVIER-STOKES EQUATIONS WITH DIRAC MEASURES

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2021
dc.date.accessioned2025-01-10T15:20:03Z
dc.date.available2025-01-10T15:20:03Z
dc.date.issued2021
dc.description.abstractWE ANALYZE, ON TWO DIMENSIONAL POLYGONAL DOMAINS, CLASSICAL LOW?ORDER INF-SUP STABLE FINITE ELEMENT APPROXIMATIONS OF THE STATIONARY NAVIER?STOKES EQUATIONS WITH SINGULAR SOURCES. WE OPERATE UNDER THE ASSUMPTIONS THAT THE CONTINUOUS AND DISCRETE SOLUTIONS ARE SUFFICIENTLY SMALL. WE PERFORM AN A PRIORI ERROR ANALYSIS ON CONVEX DOMAINS. ON LIPSCHITZ, BUT NOT NECESSARILY CONVEX, POLYGONAL DOMAINS, WE DESIGN AN A POSTERIORI ERROR ESTIMATOR AND PROVE ITS GLOBAL RELIABILITY. WE ALSO EXPLORE EFFICIENCY ESTIMATES. WE ILLUSTRATE THE THEORY WITH NUMERICAL TESTS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10915-021-01496-x
dc.identifier.issn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11520
dc.languagespa
dc.publisherJOURNAL OF SCIENTIFIC COMPUTING
dc.relation.uri10.1007/s10915-021-01496-x
dc.rightsPUBLICADA
dc.titleERROR ESTIMATES FOR FEM DISCRETIZATIONS OF THE NAVIER-STOKES EQUATIONS WITH DIRAC MEASURES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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