31 citations · 33 across the 8 of their papers we have counts for
8 papers
A posteriori error analysis of a mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem
Sergio Caucao, Paulo Zúñiga
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 residua…
A Banach space formulation for the fully dynamic Navier-Stokes-Biot coupled problem
Sergio Caucao, Aashi Dalal, Ivan Yotov
We introduce and analyse a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a poroelastic medium.The flows in the free fluid and…
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…
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…
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…
An augmented fully-mixed formulation for the quasistatic Navier--Stokes--Biot model
Tongtong Li, Sergio Caucao, Ivan Yotov
We introduce and analyze a partially augmented fully-mixed formulation and a mixed finite element method for the coupled problem arising in the interaction between a free fluid and…
A multipoint stress-flux mixed finite element method for the Stokes-Biot model
Sergio Caucao, Tongtong Li, Ivan Yotov
In this paper we present and analyze a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a flow in a poroelastic medium. The flows…
A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations
Sergio Caucao, Ivan Yotov
We propose and analyze a mixed formulation for the Brinkman-Forchheimer equations for unsteady flows. Our approach is based on the introduction of a pseudostress tensor related to…