Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Caucao, Sergio"'
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 poroelastic regions are governed by the Navier-Stokes and Biot equati
Externí odkaz:
http://arxiv.org/abs/2410.06322
Autor:
Caucao, Sergio, Yotov, Ivan
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 and pressure, our approach introduces the vorticity as a further unkno
Externí odkaz:
http://arxiv.org/abs/2406.16703
Autor:
Caucao, Sergio, Esparza, Johann
We propose and analyze an augmented mixed finite element method for the pseudostress-velocity formulation of the stationary convective Brinkman-Forchheimer problem in $\mathrm{R}^d$, $d\in \{2,3\}$. Since the convective and Forchheimer terms forces t
Externí odkaz:
http://arxiv.org/abs/2303.01472
Autor:
Caucao, Sergio, Discacciati, Marco
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 heterogeneous permeability. Flows are governed by the Brinkman--Forchheimer
Externí odkaz:
http://arxiv.org/abs/2301.10135
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 poroelastic medium. The flows in the free fluid and poroelastic reg
Externí odkaz:
http://arxiv.org/abs/2209.02894
Publikováno v:
In Journal of Computational Physics 1 January 2025 520
Publikováno v:
In Journal of Computational and Applied Mathematics 1 December 2024 451
Autor:
Caucao, Sergio, Esparza, Johann
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2024 438
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 are governed by the Stokes and Biot equations, respectively, and the
Externí odkaz:
http://arxiv.org/abs/2011.01396
Publikováno v:
In Computers and Mathematics with Applications 1 September 2023 145:65-89