Parallelization of Spectral Element Methods. - Stéphane Airiau; Mejdi Azaïez; Faker Ben Belgacem; Ronan Guivarch (VECPAR, 2002)

A Spectral Element Projection Scheme for Incompressible Flow with Application to the Unsteady Axisymmetric Stokes Problem. - Mejdi Azaïez (J. Sci. Comput., 2002)

On a Stable Spectral Method for the grad(div) Eigenvalue Problem. - Mejdi Azaïez; Ralf Gruber; Michel O. Deville; Ernest H. Mund (J. Sci. Comput., 2006)

Spectral discretization of the vorticity, velocity and pressure formulation of the Navier-Stokes equations. - Mejdi Azaïez; Christine Bernardi; Nejmeddine Chorfi (Numerische Mathematik, 2006)

A primal formulation for the Helmholtz decomposition. - Etienne Ahusborde; Mejdi Azaïez; Jean-Paul Caltagirone (J. Comput. Phys., 2007)

A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel. - Mejdi Azaïez; Jie Shen 001; Chuanju Xu; Qingqu Zhuang (SIAM J. Numer. Anal., 2008)

Spectral discretization of Darcy's equations with pressure dependent porosity. - Mejdi Azaïez; Faker Ben Belgacem; Christine Bernardi; Nejmeddine Chorfi (Appl. Math. Comput., 2010)

Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods. - Alexandre Poux; Stéphane Glockner; Mejdi Azaïez (J. Comput. Phys., 2011)

Mercer's spectral decomposition for the characterization of thermal parameters. - Etienne Ahusborde; Mejdi Azaïez; Faker Ben Belgacem; Elena Palomo Del Barrio (J. Comput. Phys., 2015)

Discrete Helmholtz-Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators. - Antoine Lemoine; Jean-Paul Caltagirone; Mejdi Azaïez; Stéphane Vincent (J. Sci. Comput., 2015)

Recursive POD expansion for reaction-diffusion equation. - Mejdi Azaïez; Faker Ben Belgacem; Tomás Chacón Rebollo (Adv. Model. Simul. Eng. Sci., 2016)

Reduced order model of flows by time-scaling interpolation of DNS data. - Tapan K. Sengupta; Lucas Lestandi; S. I. Haider; Atchyut Gullapalli; Mejdi Azaïez (Adv. Model. Simul. Eng. Sci., 2018)

Correction to: Reduced order model of flows by time-scaling interpolation of DNS data. - Tapan K. Sengupta; Lucas Lestandi; S. I. Haider; Atchyut Gullapalli; Mejdi Azaïez (Adv. Model. Simul. Eng. Sci., 2018)

A New Algorithm of Proper Generalized Decomposition for Parametric Symmetric Elliptic Problems. - Mejdi Azaïez; Faker Ben Belgacem; Juan Casado-Díaz; T. Chacón Rebollo; François Murat (SIAM J. Math. Anal., 2018)

A variant of scalar auxiliary variable approaches for gradient flows. - Dianming Hou; Mejdi Azaïez; Chuanju Xu (J. Comput. Phys., 2019)

A Müntz-Collocation Spectral Method for Weakly Singular Volterra Integral Equations. - Dianming Hou; Yumin Lin; Mejdi Azaïez; Chuanju Xu (J. Sci. Comput., 2019)

A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations. - Mejdi Azaïez; Tomás Chacón Rebollo; Samuele Rubino (J. Comput. Phys., 2021)

New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model. - Minghui Li; Mejdi Azaïez; Chuanju Xu (Comput. Math. Appl., 2022)

An efficient numerical approach for stochastic evolution PDEs driven by random diffusion coefficients and multiplicative noise. - Xiao Qi; Mejdi Azaïez; Can Huang; Chuanju Xu (CoRR, 2022)

Certified reduced order method for the parametrized Allen-Cahn equation. - Liang Wu; Mejdi Azaïez; Tomás Chacón Rebollo; Chuanju Xu (Comput. Math. Appl., 2023)

Stable and decoupled schemes for an electrohydrodynamics model. - Hui Yao; Chuanju Xu; Mejdi Azaïez (Math. Comput. Simul., 2023)

Numerical Approximation of PGD Modes to Parameterized Elliptic Problems. - Mejdi Azaïez; Tomás Chacón Rebollo; Isabel Sánchez Muñoz (SIAM J. Sci. Comput., 2023)

Nonlocal Cahn-Hilliard type model for image inpainting. - Dandan Jiang; Mejdi Azaïez; Alain Miranville; Chuanju Xu (Comput. Math. Appl., 2024)

Least-squares pressure recovery in reduced order methods for incompressible flows. - Mejdi Azaïez; T. Chacón Rebollo; Mourad Oulghelou; Isabel Sánchez Muñoz (J. Comput. Phys., 2024)

On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn-Hilliard type inpainting model. - Dandan Jiang; Mejdi Azaïez; Alain Miranville; Chuanju Xu; Hui Yao (Math. Comput. Simul., 2024)

An efficient numerical method for the anisotropic phase field dendritic crystal growth model. - Yayu Guo; Mejdi Azaïez; Chuanju Xu (Commun. Nonlinear Sci. Numer. Simul., 2024)

Reduced basis method based on a posteriori error estimate for the parameterized Allen-Cahn equation. - Liang Wu; Mejdi Azaïez; Tomás Chacón Rebollo; Chuanju Xu (J. Comput. Phys., 2025)

PODNO: Proper Orthogonal Decomposition Neural Operators. - Zilan Cheng; Zhongjian Wang; Li-Lian Wang; Mejdi Azaïez (CoRR, 2025)

Reduced-Order Time Splitting for Navier-Stokes with Open Boundaries. - Mejdi Azaïez; Tomás Chacón Rebollo; C. Núñez Fernández; Samuele Rubino (CoRR, 2025)

A POD-Based Reduced Order Method Applied to Goda Time-Splitting Scheme. - Mejdi Azaïez; T. Chacón Rebollo; C. Núñez Fernández; Samuele Rubino (J. Sci. Comput., 2025)