Mejdi Azaiez | Bogor Agriculture University (original) (raw)
Uploads
Papers by Mejdi Azaiez
Applied Numerical Mathematics, 2008
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
Bookmarks Related papers MentionsView impact
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
Bookmarks Related papers MentionsView impact
East-West Journal of Numerical Mathematics
ABSTRACT
Bookmarks Related papers MentionsView impact
Revue européenne des éléments finis
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2011
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2007
Bookmarks Related papers MentionsView impact
Journal of Porous Media, 1998
... Marie-Catherine Charrier-Mojtabi Laboratoire PHASE EA 3028, Université Paul Sabatier, France.... more ... Marie-Catherine Charrier-Mojtabi Laboratoire PHASE EA 3028, Université Paul Sabatier, France.Mohammad Karimi-Fard Institut de Mécanique des Fluides, UMR CNRS-INP-UPS №5502, Avenue du Professeur Camille Soula, F 31400 Toulouse, France. ...
Bookmarks Related papers MentionsView impact
International Journal of Heat and Mass Transfer, 1999
This paper reports an analytical and numerical study of double-diffusive naturalconvection throug... more This paper reports an analytical and numerical study of double-diffusive naturalconvection through a fluid-saturated, vertical and homogeneous porous annulus subjected touniform fluxes of heat and mass from the side. The influence of each leading parameter ...
Bookmarks Related papers MentionsView impact
International Journal of Heat and Mass Transfer, 1991
... C. Canute, MY Hussaini, TA Zang and A. Quar-sional natural convection in a porous medium betw... more ... C. Canute, MY Hussaini, TA Zang and A. Quar-sional natural convection in a porous medium between teroni, Spectral Methods in ... Diese Strukturen wurden bisher noch nie in konzentrischen Ringr umen mit Hilfe des Christiansen-Effekts beobachtet, sie stimmen gut mit den ...
Bookmarks Related papers MentionsView impact
Finite Elements in Analysis and Design, 1994
ABSTRACT
Bookmarks Related papers MentionsView impact
arXiv: Numerical Analysis, 2017
We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear... more We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques used in Large Eddy Simulations (LES), such as Local Projection Stabilization (LPS), applied to standard models created by Proper Orthogonal Decomposition (POD) of flows with Galerkin projection. The numerical analysis of the fully Navier-Stokes discretization for the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Also, we suggest an efficient practical implementation of the stabilization term, where the stabilization parameter is approximated by the Discrete Empirical Interpolation Method (DEIM).
Bookmarks Related papers MentionsView impact
Journal of Computational Physics, 2021
Bookmarks Related papers MentionsView impact
Communications in Computational Physics, 2021
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2022
Bookmarks Related papers MentionsView impact
Computers & Mathematics with Applications, 2022
Bookmarks Related papers MentionsView impact
We introduce in this paper a technique for the reduced order approximation of parametric symmetri... more We introduce in this paper a technique for the reduced order approximation of parametric symmetric elliptic partial differential equations. For any given dimension, we prove the existence of an optimal subspace of at most that dimension which realizes the best approximation in mean of the error with respect to the parameter in the quadratic norm associated to the elliptic operator, between the exact solution and the Galerkin solution calculated on the subspace. This is analogous to the best approximation property of the Proper Orthogonal Decomposition (POD) subspaces, excepting that in our case the norm is parameter-depending, and then the POD optimal sub-spaces cannot be characterized by means of a spectral problem. We apply a deflation technique to build a series of approximating solutions on finite-dimensional optimal subspaces, directly in the on-line step. We prove that the partial sums converge to the continuous solutions, in mean quadratic elliptic norm.
Bookmarks Related papers MentionsView impact
Discrete & Continuous Dynamical Systems - S, 2018
Bookmarks Related papers MentionsView impact
Journal of Scientific Computing, 2019
Bookmarks Related papers MentionsView impact
Applied Numerical Mathematics, 2008
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
Bookmarks Related papers MentionsView impact
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
Bookmarks Related papers MentionsView impact
East-West Journal of Numerical Mathematics
ABSTRACT
Bookmarks Related papers MentionsView impact
Revue européenne des éléments finis
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2011
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2007
Bookmarks Related papers MentionsView impact
Journal of Porous Media, 1998
... Marie-Catherine Charrier-Mojtabi Laboratoire PHASE EA 3028, Université Paul Sabatier, France.... more ... Marie-Catherine Charrier-Mojtabi Laboratoire PHASE EA 3028, Université Paul Sabatier, France.Mohammad Karimi-Fard Institut de Mécanique des Fluides, UMR CNRS-INP-UPS №5502, Avenue du Professeur Camille Soula, F 31400 Toulouse, France. ...
Bookmarks Related papers MentionsView impact
International Journal of Heat and Mass Transfer, 1999
This paper reports an analytical and numerical study of double-diffusive naturalconvection throug... more This paper reports an analytical and numerical study of double-diffusive naturalconvection through a fluid-saturated, vertical and homogeneous porous annulus subjected touniform fluxes of heat and mass from the side. The influence of each leading parameter ...
Bookmarks Related papers MentionsView impact
International Journal of Heat and Mass Transfer, 1991
... C. Canute, MY Hussaini, TA Zang and A. Quar-sional natural convection in a porous medium betw... more ... C. Canute, MY Hussaini, TA Zang and A. Quar-sional natural convection in a porous medium between teroni, Spectral Methods in ... Diese Strukturen wurden bisher noch nie in konzentrischen Ringr umen mit Hilfe des Christiansen-Effekts beobachtet, sie stimmen gut mit den ...
Bookmarks Related papers MentionsView impact
Finite Elements in Analysis and Design, 1994
ABSTRACT
Bookmarks Related papers MentionsView impact
arXiv: Numerical Analysis, 2017
We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear... more We introduce improved Reduced Order Models (ROM) for convection-dominated flows. These non-linear closure models are inspired from successful numerical stabilization techniques used in Large Eddy Simulations (LES), such as Local Projection Stabilization (LPS), applied to standard models created by Proper Orthogonal Decomposition (POD) of flows with Galerkin projection. The numerical analysis of the fully Navier-Stokes discretization for the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Also, we suggest an efficient practical implementation of the stabilization term, where the stabilization parameter is approximated by the Discrete Empirical Interpolation Method (DEIM).
Bookmarks Related papers MentionsView impact
Journal of Computational Physics, 2021
Bookmarks Related papers MentionsView impact
Communications in Computational Physics, 2021
Bookmarks Related papers MentionsView impact
Computers & Fluids, 2022
Bookmarks Related papers MentionsView impact
Computers & Mathematics with Applications, 2022
Bookmarks Related papers MentionsView impact
We introduce in this paper a technique for the reduced order approximation of parametric symmetri... more We introduce in this paper a technique for the reduced order approximation of parametric symmetric elliptic partial differential equations. For any given dimension, we prove the existence of an optimal subspace of at most that dimension which realizes the best approximation in mean of the error with respect to the parameter in the quadratic norm associated to the elliptic operator, between the exact solution and the Galerkin solution calculated on the subspace. This is analogous to the best approximation property of the Proper Orthogonal Decomposition (POD) subspaces, excepting that in our case the norm is parameter-depending, and then the POD optimal sub-spaces cannot be characterized by means of a spectral problem. We apply a deflation technique to build a series of approximating solutions on finite-dimensional optimal subspaces, directly in the on-line step. We prove that the partial sums converge to the continuous solutions, in mean quadratic elliptic norm.
Bookmarks Related papers MentionsView impact
Discrete & Continuous Dynamical Systems - S, 2018
Bookmarks Related papers MentionsView impact
Journal of Scientific Computing, 2019
Bookmarks Related papers MentionsView impact