Lube, Gert

[["dc.bibliographiccitation.firstpage","368"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Computational methods in applied mathematics"],["dc.bibliographiccitation.lastpage","390"],["dc.bibliographiccitation.volume","9"],["dc.contributor.author","Matthies, G."],["dc.contributor.author","Lube, G."],["dc.contributor.author","Röhe, L."],["dc.date.accessioned","2019-07-10T08:13:29Z"],["dc.date.available","2019-07-10T08:13:29Z"],["dc.date.issued","2009"],["dc.description.abstract","We consider residual-based stabilised nite element methods for the generalised Oseen problem. The unique solvability based on a modi ed stability condition and an error estimate are proved for inf-sup stable discretisations of velocity and pressure. The analysis highlights the role of an additional stabilisation of the incompressibility constraint. It turns out that the stabilisation terms of the streamline-di usion (SUPG) type play a less important role. In particular, there exists a conditional stability problem of the SUPG stabilisation if two relevant problem parameters tend to zero. The analysis extends a recent result to general shape-regular meshes and to discontinuous pressure interpolation. Some numerical observations support the theoretical results."],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/5998"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/61256"],["dc.language.iso","en"],["dc.notes.intern","Migrated from goescholar"],["dc.rights","Goescholar"],["dc.rights.access","openAccess"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.subject","Navier - Stokes problem; Oseen problem; nite elements; residual-based stabilisation; stabilisation parameters"],["dc.subject.ddc","510"],["dc.title","Some remarks on residual-based stabilisation of inf-sup stable discretisations of the generalised oseen problem"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]