3 papers
math.NA2025
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…
math.NA2024
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…
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…