Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions

M Abdelwahed, N Chorfi - Advances in Nonlinear Analysis, 2022 - degruyter.com
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a
mixed boundary conditions. The variational formulation is written considering three …

A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system

N Chalhoub, P Omnes, T Sayah, RE Zahlaniyeh - Numerical Algorithms, 2022 - Springer
In this article, we consider the time-dependent convection-diffusion-reaction equation
coupled with the Darcy equation. We propose a numerical scheme based on finite element …

A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation

J Dakroub, J Faddoul, P Omnes, T Sayah - Advances in Computational …, 2023 - Springer
In this paper we study the a posteriori error estimates for the time dependent Navier-Stokes
system coupled with the convection-diffusion-reaction equation. The problem is discretized …

A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids

G Nassreddine, P Omnes, T Sayah - … : Mathematical Modelling and …, 2023 - esaim-m2an.org
We study the two dimensional time dependent Large Eddy Simulation method applied to the
incompressible Navier–Stokes system with Smagorinsky's eddy viscosity model and a filter …

Spectral discretization of the time‐dependent Stokes problem with mixed boundary conditions

C Bousbiat, Y Daikh, S Maarouf - Mathematical Methods in the …, 2021 - Wiley Online Library
In this paper, we consider the time‐dependent Stokes problem in a three‐dimensional
domain with mixed boundary conditions. The discretization relies on spectral methods with …

A posteriori error analysis of the time dependent Navier–Stokes equations with mixed boundary conditions

C Bernardi, T Sayah - SeMA Journal, 2015 - Springer
In this paper we study the time dependent Navier–Stokes problem with mixed boundary
conditions. The problem is discretized by the backward Euler's scheme in time and finite …

Spectral discretization of the time‐dependent vorticity–velocity–pressure formulation of the Stokes problem

M Abdelwahed, N Chorfi - Mathematical Methods in the …, 2024 - Wiley Online Library
In this paper, we study the time‐dependent vorticity–velocity–pressure formulation of Stokes
problem in two‐and three‐dimensional domains provided with nonstandard boundary …

[HTML][HTML] Robust a Posteriori Error Estimates of Time-Dependent Poisson–Nernst–Planck Equations

K Fu, T Hao - Mathematics, 2024 - mdpi.com
The paper considers the a posteriori error estimates for fully discrete approximations of time-
dependent Poisson–Nernst–Planck (PNP) equations, which provide tools that allow for …

Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation

N Chorfi, H Ouertani - Boundary Value Problems, 2024 - Springer
This paper deals with the resolution of the time-dependent velocity–vorticity–pressure
formulation of Stokes problem in a two-and three-dimensional domain. The discretization is …

A posteriori error estimate for the non-stationary concentration equation coupled with the Darcy system discretized by the Raviart–Thomas finite element

N Chalhoub, P Omnes, T Sayah… - … and Applied Mathematics, 2024 - Springer
This article focuses on discretizing the convection–diffusion–reaction equation
(concentration or heat), which is time-dependent and coupled with the Darcy equation. The …