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Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
(2021)
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes in the medium. We ...
Laboratorio de matemática: Fascículo #1
(Universidad de Costa Rica. Sede de Occidente, 1992, 1992)
Este fascículo consiste en una serie de guías para utilizar los modelos didácticos correspondientes a diversos conceptos matemáticos incluidos en los programas de los cursos de la enseñanza primaria y secundaria. Incluye ...
Aritmética para maestros: el número, su operatoria y su enseñanza
(1996)
Es un manual en el que se desarrolla, de una forma sencilla, una posible introducción del niño preescolar y escolar al campo del número y del cálculo aritmético. Se sugieren actividades que tienen una función didáctica ...
Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
(2020)
We perform the linear stability analysis of a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and ...
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
(2018)
We analyse the solvability of a static coupled system of PDEs describing the diffusion of a solute into an elastic material, where the process is affected by the stresses exerted in the solid. The problem is formulated in ...
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 ...
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 ...
Stability and finite element approximation of phase change models for natural convection in porous media
(2019-11)
In this paper we study a phase change problem for non-isothermal incompressible viscous flows. The underlying continuum is modelled as a viscous Newtonian fluid where the change of phase is either encoded in the viscosity ...
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Intégration de la viscosité variable dans des formulations en tourbillon pour les équations de Brinkman
(2019-06)
In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity, and pressure with non-constant viscosity. The analysis is performed by the ...
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
(2017-09-05)
We develop the a posteriori error analysis for a mixed finite element method
applied to the coupling of Brinkman and Darcy equations in 3D, modelling the interaction of viscous and non-viscous flow effects across a given ...