Error of the two-step BDF for the incompressible Navier-Stokes problem

Mathematical Modelling and Numerical Analysis

Volumn 38, Issue 5, 2004, Pages 757-764

  Emmrich, Etienne ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Backward differentiation formula; Error estimate; Incompressible Navier Stokes equation; Parabolic smoothing; Time discretisation

Indexed keywords

EID: 10044278060     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2004037     Document Type: Article

References (10)

1. G.A. Baker, V.A. Dougalis and O.A. Karakashian, On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations. Math. Comp. 39 (1982) 339-375.
2. B. Emmrich, Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems. Cuvillier, Göttingen (2001).
3. E. Emmrich, Error of the two-step BDF for the incompressible Navier-Stokes problem. Preprint 741, TU Berlin (2002).
4. V. Girault and P.-A. Raviart, Finite Element Approximation of the Navier-Stokes Equations. Springer, Berlin (1979).
5. J.G. Heywood and R. Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem, Part IV: Error analysis for second-order time discretization. SIAM J. Numer. Anal. 27 (1990) 353-384.
6. A.T. Hill and E. Süli, Approximation of the global attractor for the incompressible Navier-Stokes equations. IMA J. Numer. Anal. 20 (2000) 633-667.
7. S. Müller-Urbaniak, Eine Analyse des Zwischenschritt-θ- Verfahrens zur Lösung der instationären Navier-Stokes-Gleichungen. Preprint 94-01 (SFB 359), Univ. Heidelberg (1994).
8. A. Prohl, Projection and Quasi-compressibility Methods for Solving the Incompressible Navier-Stokes Equations. Teubner, Stuttgart (1997).
9. R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis. North-Holland Publ. Company, Amsterdam (1977).
10. R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis. CBMS-NSF Reg. Confer. Ser. Appl. Math. SIAM 41 (1985).