A simple introduction to the mixed finite element method
GN Gatica - Theory and Applications. Springer Briefs in …, 2014 - Springer
The main purpose of this monograph is to provide a simple and accessible introduction to
the mixed finite element method as a fundamental tool to numerically solve a wide class of …
the mixed finite element method as a fundamental tool to numerically solve a wide class of …
Locking-free finite element methods for poroelasticity
R Oyarzúa, R Ruiz-Baier - SIAM Journal on Numerical Analysis, 2016 - SIAM
We propose a new formulation along with a family of finite element schemes for the
approximation of the interaction between fluid motion and linear mechanical response of a …
approximation of the interaction between fluid motion and linear mechanical response of a …
An augmented mixed FEM for the convective Brinkman–Forchheimer problem: a priori and a posteriori error analysis
S Caucao, J Esparza - Journal of Computational and Applied Mathematics, 2024 - Elsevier
We propose and analyze an augmented mixed finite element method for the pseudostress–
velocity formulation of the stationary convective Brinkman–Forchheimer problem in R d …
velocity formulation of the stationary convective Brinkman–Forchheimer problem in R d …
A mixed finite element method for Darcy's equations with pressure dependent porosity
In this work we develop the a priori and a posteriori error analyses of a mixed finite element
method for Darcy's equations with porosity depending exponentially on the pressure. A …
method for Darcy's equations with porosity depending exponentially on the pressure. A …
A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium
In this paper we consider a Banach spaces-based fully-mixed variational formulation that
has been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …
has been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …
[HTML][HTML] A posteriori error analysis of an augmented mixed method for the Navier–Stokes equations with nonlinear viscosity
In this work we develop the a posteriori error analysis of an augmented mixed finite element
method for the 2D and 3D versions of the Navier–Stokes equations when the viscosity …
method for the 2D and 3D versions of the Navier–Stokes equations when the viscosity …
[图书][B] Introducción al análisis funcional. Teoría y aplicaciones
GN Gatica - 2021 - books.google.com
Este libro trata sobre los principales resultados del Análisis Funcional y de sus aplicaciones
más importantes, tanto en la propia Matemática como en la Física y la Ingeniería. Se ha …
más importantes, tanto en la propia Matemática como en la Física y la Ingeniería. Se ha …
A posteriori error analysis of a mixed finite element method for the coupled Brinkman–Forchheimer and double-diffusion equations
In this paper we consider a partially augmented fully-mixed variational formulation that has
been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …
been recently proposed for the coupling of the stationary Brinkman–Forchheimer and …
[HTML][HTML] A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model
In this paper we undertake an a posteriori error analysis along with its adaptive computation
of a new augmented fully-mixed finite element method that we have recently proposed to …
of a new augmented fully-mixed finite element method that we have recently proposed to …
[HTML][HTML] A posteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems
M Alvarez, GN Gatica, R Ruiz-Baier - Journal of Computational Physics, 2018 - Elsevier
In this paper we develop the a posteriori error analysis of an augmented mixed-primal finite
element method for the 2D and 3D versions of a stationary flow and transport coupled …
element method for the 2D and 3D versions of a stationary flow and transport coupled …