A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS

Christine Bernardi (1) , Toni Sayah (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 FS - Faculté des sciences-USJ

In this paper we study the time dependent Navier-Stokes problem with mixed boundary conditions. The problem is discretized by the backward Euler's scheme in time and nite elements in space. We establish optimal a posteriori error estimates with two types of computable error indicators, the rst one being linked to the time discretization and the second one to the space discretization. We nish with numerical validation experiments.

Mots clés: a posteriori analysis; Navier{Stokes equations; mixed boundary conditions; nite element method; a posteriori analysis.

Domaines: Analyse numérique [cs.NA]

Christine Bernardi, Toni Sayah. A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS. Springer, 2013, 69 (Issue 1), pp.1-23. ⟨hal-00812434v3⟩