A posteriori error analysis of an augmented mixed method for the Navier–Stokes equations with nonlinear viscosity

GN Gatica, R Ruiz-Baier, G Tierra - Computers & Mathematics with …, 2016 - Elsevier
In this work we develop the a posteriori error analysis of an augmented mixed finite element
method for the 2D and 3D versions of the Navier–Stokes equations when the viscosity …

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 Brinkman–Darcy–Forchheimer problem

T Sayah - Computational and Applied Mathematics, 2021 - Springer
In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–
Forchheimer problem. We introduce the variational formulation discretized by using the finite …

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 …

[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 …

Numerical analysis of the Brusselator model with Robin boundary conditions

GA Al-Juaifri, AJ Harfash - SeMA Journal, 2024 - Springer
In this paper, we explore the numerical analysis of Brusselator-type reaction-diffusion
equations on open bounded convex domains R⊂ R d, where d≤ 3, with Robin boundary …

A Posteriori Error Estimates for Darcy–Forchheimer's Problem

T Sayah, G Semaan, F Triki - Computational Methods in Applied …, 2023 - degruyter.com
This work deals with the a posteriori error estimates for the Darcy–Forchheimer problem. We
first introduce the corresponding variational formulation for the nonlinear problem and …

A posteriori error estimates for the large eddy simulation applied to stationary Navier–Stokes equations

G Nassreddine, P Omnes… - Numerical Methods for …, 2022 - Wiley Online Library
In this paper, we study in two and three space dimensions, the a posteriori error estimates
for the large eddy simulation (LES) applied to the Navier–Stokes system. We begin by …

[PDF][PDF] New results for the a posteriori estimates of the two dimensional time dependent Navier-Stokes equation

G Nassreddine, T Sayah - International journal of mechanics, 2017 - researchgate.net
In this paper, we study the two dimensional time dependent Navier-Stockes problem. We
introduce the discrete problem which is based on the implicit Euler scheme for the time …