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Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem
(2020)
In this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the ...
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 ...
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 ...
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 ...
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
(2022)
We develop the a posteriori error analysis for mixed-primal and fully-mixed finite element methods approximating the stress-assisted diffusion of solutes in elastic materials. The systems are formulated in terms of stress, ...
Geometría: II y III ciclo Educación General Básica
(Universidad de Costa Rica, Sede de Occidente. San Ramón, Alajuela, C.R., 1993-09)
Esta es una guía para la enseñanza de temas de geometría elemental, considerados principalmente en los programas del II y III ciclo de Educación General Básica. Se incluyen fichas de laboratorio dirigidas a los educandos, ...
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
(2019-03)
This paper is devoted to the mathematical and numerical analysis of a mixed-mixed PDE system describing the stress-assisted diffusion of a solute into an elastic material. The equations of elastostatics are written in mixed ...
Velocity‑vorticity‑pressure formulation for the Oseen problem with variable viscosity
(2021)
We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homogeneous Dirichlet boundary condition for the ...
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 ...