FINITE ELEMENT ANALYSIS OF LINEARLY EXTRAPOLATED BLENDED BACKWARD DIFFERENCE FORMULA (BLEBDF) FOR THE NATURAL CONVECTION FLOWS

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dc.contributor.authorAk, Merve
dc.contributor.authorAkbas, Mine
dc.date.accessioned2025-03-24T19:48:40Z
dc.date.available2025-03-24T19:48:40Z
dc.date.issued2024
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this paper, we study the stability and convergence of fully discrete finite element method with grad-div stabilization for the incompressible non-isothermal fluid flows. The proposed scheme uses finite element discretization in space and linearly extrapolated blended Backward Differentiation Formula (BLEBDF) in time. We prove the unconditional stability over finite time interval and optimally convergence of the scheme. We also present numerical experiments to verify our theoretical convergence rates and show the reliability of the scheme.
dc.identifier.doi10.47087/mjm.1477504
dc.identifier.endpage77
dc.identifier.issn2667-7660
dc.identifier.issue2
dc.identifier.startpage61
dc.identifier.urihttps://doi.org/10.47087/mjm.1477504
dc.identifier.urihttps://hdl.handle.net/20.500.12684/19120
dc.identifier.volume6
dc.language.isoen
dc.publisherHüseyin ÇAKALLI
dc.relation.ispartofMaltepe Journal of Mathematics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250324
dc.subjectFinite Element Method|Grad-div stabilization|Natural Convection
dc.titleFINITE ELEMENT ANALYSIS OF LINEARLY EXTRAPOLATED BLENDED BACKWARD DIFFERENCE FORMULA (BLEBDF) FOR THE NATURAL CONVECTION FLOWS
dc.typeArticle

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