Now showing items 1-10 of 15
Stability and finite element approximation of phase change models for natural convection in porous media
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
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 ...
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, ...
New mixed finite element methods for natural convection with phase-change in porous media
This article is concerned with the mathematical and numerical analysis of a steady phase change problem for non-isothermal incompressible viscous flow. The system is formulated in terms of pseudostress, strain rate and ...
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
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 of a second-order method for phase change in porous media flow
We analyse the stability of a second-order finite element scheme for the primal formulation of a Brinkman-Boussinesq model where the solidification process influences the drag and the viscosity. The problem is written in ...
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
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 ...
Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem
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 ...
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
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, ...