3 papers
math.NA2024
Velocity-vorticity-pressure mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations
Sergio Caucao, Ivan Yotov
In this paper, we propose and analyze a mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations for unsteady viscoelastic flows in porous media. Besides the velocity…
math.NA2023
An augmented mixed FEM for the convective Brinkman-Forchheimer problem: a priori and a posteriori error analysis
Sergio Caucao, Johann Esparza
We propose and analyze an augmented mixed finite element method for the pseudostress-velocity formulation of the stationary convective Brinkman-Forchheimer problem in $\mathrm{R}^d…
math.NA2023
A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem
Sergio Caucao, Marco Discacciati
This paper develops the a priori analysis of a mixed finite element method for the filtration of an incompressible fluid through a non-deformable saturated porous medium with heter…