Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem

dc.contributor.authorEmmrich, Etienne
dc.date.accessioned2021-12-17T10:18:45Z
dc.date.available2021-12-17T10:18:45Z
dc.date.issued2001-02-01
dc.description.abstractThe incompressible Navier-Stokes problem is discretised in time by means of the two-step backward differentiation formula with constant step sizes. Existence and stability of a time discrete solution is proved as well as the convergence of a piecewise polynomial prolongation towards a weak solution. The results presented cover both the two- and three-dimensional case. Furthermore, a linearisation that is based upon a modification of the convective term using a second-order extrapolation is considered.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15978
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14751
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherincompressible Navier-Stokes equationen
dc.subject.othertime discretisationen
dc.subject.otherbackward differentiation formulaen
dc.subject.otherstabilityen
dc.subject.otherconvergenceen
dc.titleStability and convergence of the two-step BDF for the incompressible Navier-Stokes problemen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2001, 709en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065M12 Stability and convergence of numerical methodsen
tub.subject.msc200076D05 Navier-Stokes equationsen
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