#### Filter Results:

- Full text PDF available (6)

#### Publication Year

2002

2016

- This year (0)
- Last 5 years (3)
- Last 10 years (7)

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

- Mejdi Azaïez, Christine Bernardi, Nejmeddine Chorfi
- Numerische Mathematik
- 2006

We consider the Navier–Stokes equations in a two-ou three-dimensional domain provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure, and… (More)

- A. Poux, Stéphane Glockner, Mejdi Azaïez
- J. Comput. Physics
- 2011

We present in this paper a numerical scheme for incompressible Navier-Stokes equations with open and traction boundary conditions, in the framework of pressure-correction methods. A new way to enforce this type of boundary condition is proposed and provides higher pressure and velocity convergence rates in space and time than found in the present state of… (More)

- Mejdi Azaïez, Jie Shen, Chuanju Xu, Qingqu Zhuang
- SIAM J. Numerical Analysis
- 2008

A mixed spectral method is proposed and analyzed for the Stokes problem in a semi-infinite channel. The method is based on a generalized Galerkin approximation with Laguerre functions in the x direction and Legendre polynomials in the y direction. The well-posedness of this method is established by deriving a lower bound on the inf-sup constant. Numerical… (More)

- Etienne Ahusborde, Mejdi Azaïez, Jean-Paul Caltagirone
- J. Comput. Physics
- 2007

In 1999, Jean-Paul Caltagirone and Jérô me Breil have developed in their paper [Caltagirone, J. Breil, Sur une méthode de projection vectorielle pour la résolution des e ´quations de Navier–Stokes, C.R. Acad. Sci. Paris 327(Série II b) (1999) 1179–1184] a new method to compute a divergence-free velocity. They have used the grad(div) operator to extract the… (More)

- Mejdi Azaïez, Ralf Gruber, Michel O. Deville, Ernest H. Mund
- J. Sci. Comput.
- 2006

- Antoine Lemoine, Jean-Paul Caltagirone, Mejdi Azaïez, Stéphane Vincent
- J. Sci. Comput.
- 2015

- Mejdi Azaïez, Faker Ben Belgacem, Christine Bernardi, Nejmeddine Chorfi
- Applied Mathematics and Computation
- 2010

We consider the flow of a viscous incompressible fluid in a rigid homogeneous porous medium provided with boundary conditions on the pressure around a circular well. When the boundary pressure presents high variations, the permeability of the medium depends on the pressure, so that the model is nonlinear. We propose a spectral discretiza-tion of the… (More)

- Mejdi Azaïez
- J. Sci. Comput.
- 2002

- Etienne Ahusborde, Mejdi Azaïez, Faker Ben Belgacem, E. Palomo Del Barrio
- J. Comput. Physics
- 2015

- Mejdi Azaïez, Faker Ben Belgacem, T. Chacón Rebollo
- Adv. Model. and Simul. in Eng. Sciences
- 2016

This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes retained in the previous step. We obtain general error estimates for the truncated expansion, and prove that the recursive POD representation provides a… (More)