A Priori and a Posteriori Error Estimates for Boussinesq Equations

A Priori and a Posteriori Error Estimates for Boussinesq Equations

Year:    2005

Author:    Karam Allali

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 2 : pp. 179–196

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-IJNAM-928

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 2 : pp. 179–196

Published online:    2005-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Boussinesq equations a posteriori error estimates finite element methods.

Author Details

Karam Allali