Volume 2, Issue 2
A Priori and a Posteriori Error Estimates for Boussinesq Equations

S. Tu & S. Allibadi


Int. J. Numer. Anal. Mod., 2 (2005), pp. 179-196

Published online: 1970-01

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  • Abstract

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.

  • Keywords

Boussinesq equations a posteriori error estimates finite element methods

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