A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the  Boundary Condition

J. EL MEKKAOUI; M A. BENNANI; A.ELKHALFI; A. ELAKKAD

doi:10.14569/IJACSA.2013.040324

Research Article | Open Access |

A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the Boundary Condition

Author 1: J. EL MEKKAOUI Author 2: M A. BENNANI Author 3: A.ELKHALFI Author 4: A. ELAKKAD

International Journal of Advanced Computer Science and Applications (IJACSA) · Vol. 4, No. 3 · Published 2013

DOI: https://doi.org/10.14569/IJACSA.2013.040324

Download PDF Cite Call for Papers

Abstract

In this paper, we introduce the Navier-Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. To solve this latter, we use the discretization by mixed finite element method. In addition, two types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true error. In order to evaluate the performance of the method, the numerical results are compared with some previously published works and with others coming from commercial code like ADINA system.

Keywords

Navier-Stokes Equations boundary condition Mixed Finite element method Residual Error Estimator

How to Cite this Article

MEKKAOUI, J. E., BENNANI, M. A., A.ELKHALFI, & ELAKKAD, A. (2013). A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the Boundary Condition. International Journal of Advanced Computer Science and Applications, 4(3). https://doi.org/10.14569/IJACSA.2013.040324

MEKKAOUI, J. EL, et al.. "A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the Boundary Condition." International Journal of Advanced Computer Science and Applications, vol. 4, no. 3, 2013, https://doi.org/10.14569/IJACSA.2013.040324.

@article{MEKKAOUI2013,
  title     = {A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the  Boundary Condition},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {4},
  number    = {3},
  year      = {2013},
  publisher = {The Science and Information Organization},
  author    = {J. EL MEKKAOUI and M A. BENNANI and A.ELKHALFI and A. ELAKKAD},
  doi       = {10.14569/IJACSA.2013.040324},
  url       = {https://doi.org/10.14569/IJACSA.2013.040324}
}

Open Access — licensed under a Creative Commons Attribution 4.0 International License. Unrestricted use, distribution, and reproduction in any medium, even commercially, as long as the original work is properly cited.

Back to Issue

Contact Info

Follow Us