Mejdi Azaiez | Bogor Agriculture University (original) (raw)

Mejdi Azaiez

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Papers by Mejdi Azaiez

Research paper thumbnail of A new hp method for the operator in non-Cartesian geometries

Applied Numerical Mathematics, 2008

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Research paper thumbnail of Convergence de la POD pour des problèmes multiparamètre

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Research paper thumbnail of An efficient spectral element solver of Poisson problem

Comptes Rendus de l Académie des Sciences - Series I - Mathematics

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Research paper thumbnail of Optimal spectral direct solver of the operator (αI+curlcurl)

Comptes Rendus de l Académie des Sciences - Series I - Mathematics

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Research paper thumbnail of Spectral methods applied to porous media equations

East-West Journal of Numerical Mathematics

ABSTRACT

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Research paper thumbnail of Dual spectral element methods for second-order axisymmetric problems. Application to the Goda projection algorithm. (Méthodes d’éléments spectreaux pour des problèmes hybrides duaux de second ordre axisymétriques. Application à l’algorithme de projection de Goda.)

Revue européenne des éléments finis

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Research paper thumbnail of The density function reconstruction of surface sources from a single Cauchy measurement

Computers & Fluids, 2011

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Research paper thumbnail of Numerical assessment of a class of uniformly stable mixed spectral elements for the Navier–Stokes equations

Computers & Fluids, 2007

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Research paper thumbnail of Onset of a Double-Diffusive Convective Regime in a Rectangular Porous Cavity

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. ...

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Research paper thumbnail of Double-diffusive convection in an annular verticalporous layer

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 ...

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Research paper thumbnail of Numerical and experimental study of multicellular free convection flows in an annular porous layer

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 ...

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Research paper thumbnail of A unique grid spectral solver of the nD Cartesian unsteady Strokes system. Illustrative numerical results

Finite Elements in Analysis and Design, 1994

ABSTRACT

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Research paper thumbnail of Streamline derivative projection-based POD-ROM for convection-dominated flows. Part I : Numerical Analysis

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).

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Research paper thumbnail of A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations

Journal of Computational Physics, 2021

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Research paper thumbnail of New Unconditionally Stable Schemes for the Navier-Stokes Equations

Communications in Computational Physics, 2021

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Research paper thumbnail of An unconditionally stable fast high order method for thermal phase change models

Computers & Fluids, 2022

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Research paper thumbnail of New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model

Computers & Mathematics with Applications, 2022

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Research paper thumbnail of An intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems

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.

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Research paper thumbnail of An extension of the landweber regularization for a backward time fractional wave problem

Discrete & Continuous Dynamical Systems - S, 2018

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Research paper thumbnail of A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations

Journal of Scientific Computing, 2019

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Research paper thumbnail of A new hp method for the operator in non-Cartesian geometries

Applied Numerical Mathematics, 2008

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Research paper thumbnail of Convergence de la POD pour des problèmes multiparamètre

Bookmarks Related papers MentionsView impact

Research paper thumbnail of An efficient spectral element solver of Poisson problem

Comptes Rendus de l Académie des Sciences - Series I - Mathematics

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Research paper thumbnail of Optimal spectral direct solver of the operator (αI+curlcurl)

Comptes Rendus de l Académie des Sciences - Series I - Mathematics

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Research paper thumbnail of Spectral methods applied to porous media equations

East-West Journal of Numerical Mathematics

ABSTRACT

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Research paper thumbnail of Dual spectral element methods for second-order axisymmetric problems. Application to the Goda projection algorithm. (Méthodes d’éléments spectreaux pour des problèmes hybrides duaux de second ordre axisymétriques. Application à l’algorithme de projection de Goda.)

Revue européenne des éléments finis

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Research paper thumbnail of The density function reconstruction of surface sources from a single Cauchy measurement

Computers & Fluids, 2011

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Research paper thumbnail of Numerical assessment of a class of uniformly stable mixed spectral elements for the Navier–Stokes equations

Computers & Fluids, 2007

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Research paper thumbnail of Onset of a Double-Diffusive Convective Regime in a Rectangular Porous Cavity

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. ...

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Research paper thumbnail of Double-diffusive convection in an annular verticalporous layer

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

Research paper thumbnail of Numerical and experimental study of multicellular free convection flows in an annular porous layer

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

Research paper thumbnail of A unique grid spectral solver of the nD Cartesian unsteady Strokes system. Illustrative numerical results

Finite Elements in Analysis and Design, 1994

ABSTRACT

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Streamline derivative projection-based POD-ROM for convection-dominated flows. Part I : Numerical Analysis

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

Research paper thumbnail of A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations

Journal of Computational Physics, 2021

Bookmarks Related papers MentionsView impact

Research paper thumbnail of New Unconditionally Stable Schemes for the Navier-Stokes Equations

Communications in Computational Physics, 2021

Bookmarks Related papers MentionsView impact

Research paper thumbnail of An unconditionally stable fast high order method for thermal phase change models

Computers & Fluids, 2022

Bookmarks Related papers MentionsView impact

Research paper thumbnail of New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model

Computers & Mathematics with Applications, 2022

Bookmarks Related papers MentionsView impact

Research paper thumbnail of An intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems

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

Research paper thumbnail of An extension of the landweber regularization for a backward time fractional wave problem

Discrete & Continuous Dynamical Systems - S, 2018

Bookmarks Related papers MentionsView impact

Research paper thumbnail of A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations

Journal of Scientific Computing, 2019

Bookmarks Related papers MentionsView impact

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