A priori and A posteriori error estimates for Boussinesq equations
Karam Allali 11 Département de Mathématiques, Faculté des Sciences et Techniques, Université HassanII, B.P. 146, Mohammedia, Morocco
Received by the editors April 12, 2004 and, in revised form, July 7, 2004
This paper deals with an incompressible viscous flow problem, where the Navier-Stokes equations are coupled with a nonlinear heat equation. Existence and uniqueness results are established. Next, a finite element approximation of the problem is presented and analyzed. Error estimates are obtained and a posteriori error estimate is given.
AMS subject classifications: 65N30
Key words: Boussinesq equations; a posteriori error estimates; finite element methods