Upwind discretization of a time-dependent two-dimensional grade-two fluid model. - Hyam Abboud; Toni Sayah (Comput. Math. Appl., 2009)

A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme. - Hyam Abboud; Vivette Girault; Toni Sayah (Numerische Mathematik, 2009)

A posteriori analysis of iterative algorithms for a nonlinear problem. - Christine Bernardi; Jad Dakroub; Gihane Mansour; Toni Sayah (J. Sci. Comput., 2015)

Convergence Analysis of Two Numerical Schemes Applied to a Nonlinear Elliptic Problem. - Christine Bernardi; Jad Dakroub; Gihane Mansour; Farah Rafei; Toni Sayah (J. Sci. Comput., 2017)

Finite element methods for Darcy's problem coupled with the heat equation. - Christine Bernardi; Séréna Dib; Vivette Girault; Frédéric Hecht; François Murat; Toni Sayah (Numerische Mathematik, 2018)

Reduced basis method for the adapted mesh and Monte Carlo methods applied to an elliptic stochastic problem. - Noura Morcos; Toni Sayah (Comput. Appl. Math., 2019)

Adaptive stratified Monte Carlo algorithm for numerical computation of integrals. - Toni Sayah (Math. Comput. Simul., 2019)

Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase flow by the method of characteristics. - Mireille Haddad; Frédéric Hecht; Toni Sayah; Pierre-Henri Tournier (Numer. Algorithms, 2019)

New numerical studies for Darcy's problem coupled with the heat equation. - Dayana Dib; Séréna Dib; Toni Sayah (Comput. Appl. Math., 2020)

A posteriori analysis of the Newton method applied to the Navier-Stokes problem. - Jad Dakroub; Joanna Faddoul; Toni Sayah (J. Appl. Math. Comput., 2020)

A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem. - Toni Sayah (Comput. Appl. Math., 2021)

Convergence analysis of numerical schemes for the Darcy-Forchheimer problem. - Toni Sayah (CoRR, 2021)

Stokes and Navier-Stokes equations under power law slip boundary condition: Numerical analysis. - Jules K. Djoko; Jonas Koko; Mohamed Mbehou; Toni Sayah (Comput. Math. Appl., 2022)

A Posteriori error estimates for Darcy-Forchheimer's problem coupled with the convection-diffusion-reaction equation. - Toni Sayah; Georges Semaan; Faouzi Triki (CoRR, 2022)

Scalable domain decomposition preconditioner for Navier-Stokes equations coupled with the heat equation. - Rim Aldbaissy; Frédéric Hecht; Gihane Mansour; Toni Sayah; Pierre-Henri Tournier (Int. J. Comput. Math., 2022)

A Trefftz method with reconstruction of the normal derivative applied to elliptic equations. - Bruno Després; Maria El Ghaoui; Toni Sayah (Math. Comput., 2022)

A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system. - Nancy Chalhoub; Pascal Omnes; Toni Sayah; Rebecca El Zahlaniyeh (Numer. Algorithms, 2022)

A Posteriori Error Estimates for Darcy-Forchheimer's Problem. - Toni Sayah; Georges Semaan; Faouzi Triki (Comput. Methods Appl. Math., 2023)

A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. - Jad Dakroub; Joanna Faddoul; Pascal Omnes; Toni Sayah (Adv. Comput. Math., 2023)

A posteriori error estimate for the non-stationary concentration equation coupled with the Darcy system discretized by the Raviart-Thomas finite element. - Nancy Chalhoub; Pascal Omnes; Toni Sayah; Rebecca El Zahlaniyeh (Comput. Appl. Math., 2024)

Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach. - Hagop Karakazian; Toni Sayah; Faouzi Triki (CoRR, 2024)

Bilinear optimal control for chemotaxis model: The case of two-sidedly degenerate diffusion with Volume-Filling Effect. - Georges Chamoun; Mazen Saad; Toni Sayah; Sarah Serhal (CoRR, 2024)

Discontinuous Galerkin schemes for Stokes flow with Tresca boundary condition: iterative a posteriori error analysis. - Jules K. Djoko; Toni Sayah (Adv. Comput. Math., 2024)

Energy estimate for Oldroyd-B model under Tresca boundary condition: scheme preserving properties. - Jules K. Djoko; Jonas Koko; Toni Sayah (Comput. Appl. Math., 2024)