Finite element discretizations of a convective Brinkman–Forchheimer model under singular forcing

A Allendes, G Campaña, E Otárola - Journal of Scientific Computing, 2024 - Springer
In two-dimensional bounded Lipschitz domains, we analyze a convective Brinkman–
Forchheimer problem on the weighted spaces H 0 1 (ω, Ω)× L 2 (ω, Ω)/R, where ω belongs …

A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium

S Caucao, GN Gatica, JP Ortega - Computational Geosciences, 2023 - Springer
In this paper we consider a Banach spaces-based fully-mixed variational formulation that
has been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …

A posteriori error analysis of a mixed finite element method for the coupled Brinkman–Forchheimer and double-diffusion equations

S Caucao, GN Gatica, R Oyarzúa, P Zúñiga - Journal of Scientific …, 2022 - Springer
In this paper we consider a partially augmented fully-mixed variational formulation that has
been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …

A Posteriori error estimates for Darcy-Forchheimer's problem coupled with the convection-diffusion-reaction equation

T Sayah, G Semaan, F Triki - arXiv preprint arXiv:2212.13247, 2022 - arxiv.org
In this work we derive a posteriori error estimates for the convection-diffusion-reaction
equation coupled with the Darcy-Forchheimer problem by a nonlinear external source …

Isogeometric Resolution of the Brinkman-Forchheimer-Darcy

O Koubaiti, L El Ouadefli, A Elkhalfi… - Journal of Applied and …, 2024 - jacm.scu.ac.ir
In this paper, we employ the finite element method based on non-uniform rational B-splines
function approximation to solve the nonlinear Brinkman-Forcheimer-Darcy equation in a …

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 analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models

GN Gatica, C Inzunza, R Ruiz-Baier… - Journal of Numerical …, 2022 - degruyter.com
In this paper we consider Banach spaces-based fully-mixed variational formulations recently
proposed for the Boussinesq and the Oberbeck–Boussinesq models, and develop reliable …

[引用][C] A POSTERIORI ERROR ESTIMATES FOR DARCY-FORCHHEIMER'S PROBLEM COUPLED WITH THE CONVECTION-DIFFUSION-REACTION EQUATION.

F Triki, T Sayah, G Semaan - International Journal of Numerical Analysis & Modeling, 2024