Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem
dc.contributor.author | Emmrich, Etienne | |
dc.date.accessioned | 2021-12-17T10:18:45Z | |
dc.date.available | 2021-12-17T10:18:45Z | |
dc.date.issued | 2001-02-01 | |
dc.description.abstract | The 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15978 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14751 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | incompressible Navier-Stokes equation | en |
dc.subject.other | time discretisation | en |
dc.subject.other | backward differentiation formula | en |
dc.subject.other | stability | en |
dc.subject.other | convergence | en |
dc.title | Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2001, 709 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 65M12 Stability and convergence of numerical methods | en |
tub.subject.msc2000 | 76D05 Navier-Stokes equations | en |
Files
Original bundle
1 - 1 of 1