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

Karam Allali

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

Published online: 2005-02

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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.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-2-179, author = {Allali , Karam}, title = {A Priori and a Posteriori Error Estimates for Boussinesq Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/928.html} }
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.

Karam Allali. (1970). A Priori and a Posteriori Error Estimates for Boussinesq Equations. International Journal of Numerical Analysis and Modeling. 2 (2). 179-196. doi:
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