TY - JOUR T1 - A Priori and a Posteriori Error Estimates for Boussinesq Equations AU - Allali , Karam JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 179 EP - 196 PY - 2005 DA - 2005/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/928.html KW - Boussinesq equations, a posteriori error estimates, finite element methods. AB -

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.