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Main Title: Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem
Author(s): Emmrich, Etienne
Type: Research Paper
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.
Subject(s): incompressible Navier-Stokes equation
time discretisation
backward differentiation formula
Issue Date: 1-Feb-2001
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65M12 Stability and convergence of numerical methods
76D05 Navier-Stokes equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2001, 709
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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