A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman–Forchheimer problem

S Caucao, GN Gatica, LF Gatica - Applied Numerical Mathematics, 2025 - Elsevier
We consider a Banach spaces-based mixed variational formulation that has been recently
proposed for the nonlinear problem given by the stationary convective Brinkman …

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 …

Discontinuous Galerkin schemes for Stokes flow with Tresca boundary condition: iterative a posteriori error analysis

JK Djoko, T Sayah - Advances in Computational Mathematics, 2024 - Springer
In two dimensions, we propose and analyse an iterative a posteriori error indicator for the
discontinuous Galerkin finite element approximations of the Stokes equations under …

A posteriori error analysis of a mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem

S Caucao, P Zúñiga - arXiv preprint arXiv:2411.19695, 2024 - arxiv.org
We consider a mixed variational formulation recently proposed for the coupling of the
Brinkman--Forchheimer and Darcy equations and develop the first reliable and efficient …

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 …

Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing

A Allendes, G Campaña, E Otarola - arXiv preprint arXiv:2305.04427, 2023 - arxiv.org
In two-dimensional Lipschitz domains, we analyze a Brinkman--Darcy--Forchheimer
problem on the weighted spaces $\mathbf {H} _0^ 1 (\omega,\Omega)\times L^ 2 …

[PDF][PDF] NUMERICAL DISCRETIZATION OF A BRINKMAN–DARCY–FORCHHEIMER MODEL UNDER SINGULAR FORCING

A Allendes, G Campaña… - arXiv preprint arXiv …, 2023 - eotarola.mat.utfsm.cl
In Lipschitz two-dimensional domains, we study a Brinkman–Darcy–Forchheimer problem
on the weighted spaces H1 0 (ω, Ω)× L2 (ω, Ω)/R, where ω belongs to the Muckenhoupt …