A mixed virtual element method for the Navier–Stokes equations

GN Gatica, M Munar, FA Sequeira - Mathematical Models and …, 2018 - World Scientific
A mixed virtual element method (mixed-VEM) for a pseudostress-velocity formulation of the
two-dimensional Navier–Stokes equations with Dirichlet boundary conditions is proposed …

A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

E Colmenares, GN Gatica, S Moraga - … Mathematical Modelling and …, 2020 - esaim-m2an.org
In this paper we propose and analyze, utilizing mainly tools and abstract results from
Banach spaces rather than from Hilbert ones, a new fully-mixed finite element method for the …

An augmented mixed FEM for the convective Brinkman–Forchheimer problem: a priori and a posteriori error analysis

S Caucao, J Esparza - Journal of Computational and Applied Mathematics, 2024 - Elsevier
We propose and analyze an augmented mixed finite element method for the pseudostress–
velocity formulation of the stationary convective Brinkman–Forchheimer problem in R d …

Dual-mixed finite element methods for the stationary Boussinesq problem

E Colmenares, M Neilan - Computers & Mathematics with Applications, 2016 - Elsevier
We propose and analyze two mixed approaches for numerically solving the stationary
Boussinesq model describing heat driven flows. For the fluid equations, the velocity gradient …

A new mixed-FEM for steady-state natural convection models allowing conservation of momentum and thermal energy

S Caucao, R Oyarzúa, S Villa-Fuentes - Calcolo, 2020 - Springer
In this work we present a new mixed finite element method for a class of steady-state natural
convection models describing the behavior of non-isothermal incompressible fluids subject …

A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations

GN Gatica, Z Gharibi - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper we extend recent results obtained for the Navier–Stokes equations to propose
and analyze a new fully mixed virtual element method (mixed-VEM) for the stationary two …

[HTML][HTML] Analysis of a conforming finite element method for the Boussinesq problem with temperature-dependent parameters

R Oyarzúa, P Zúñiga - Journal of Computational and Applied Mathematics, 2017 - Elsevier
In this paper we analyze a conforming finite element method for the numerical simulation of
non-isothermal incompressible fluid flows subject to a heat source modeled by a …

A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman–Forchheimer equations

S Caucao, GN Gatica, R Oyarzúa… - Journal of Scientific …, 2020 - Springer
We propose and analyze a new mixed finite element method for the problem of steady
double-diffusive convection in a fluid-saturated porous medium. More precisely, the model is …

On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations

GN Gatica, C Inzunza - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper we introduce and analyze, up to our knowledge for the first time, Banach
spaces-based mixed variational formulations for nearly incompressible linear elasticity and …

A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters

JA Almonacid, GN Gatica - Computational Methods in Applied …, 2020 - degruyter.com
In this paper, we introduce and analyze a high-order, fully-mixed finite element method for
the free convection of n-dimensional fluids, n∈{2, 3}, with temperature-dependent viscosity …