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A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport.
(2021-01)
This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial
flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable
material, where the ...
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
(Elsevier, 2015)
In this paper we introduce and analyze an augmented mixed finite element method for the two-dimensional nonlinear Brinkman model of porous media flow with mixed boundary conditions. More precisely, we extend a previous ...
A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow
(Elsevier Ltd, 2020-06-25)
In this paper we present an a posteriori error analysis of a mixed-VEM discretization
for a nonlinear Brinkman model of porous media flow, which has been proposed
by the authors in a previous work. Therein, the system ...
A mixed-primal finite element approximation of a sedimentation–consolidation system
(2016)
This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ...
Simulação numérica de escoamentos em reservatórios carbonáticos utilizando um modelo de Stokes-Brinkman por meio de métodos localmente conservativos
(Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em Engenharia Civil, 2020)
Métodos de elementos virtuales mixtos para problemas no lineales en mecánica de fluidos = Mixed virtual element methods for nonlinear problems in fluids mechanics.
(Universidad de Concepción.Facultad de Ciencias Físicas y MatemáticasDepartamento de Ingeniería Matemática., 2019)
In this thesis we introduce and analyze further applications of the Virtual Element Method (VEM), which can be interpreted as an evolution of the Mimetic Finite Differences method offering high order approximation spaces ...