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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 ...
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 ...
An augmented mixed–primal finite element method for a coupled flow–transport problem
(2015)
In this paper we analyze the coupling of a scalar nonlinear convection-diffusion problem with the Stokes equations where the viscosity depends on the distribution of the solution to the transport problem. An augmented ...
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 ...
A posteriori error analysis of a semi-augmented finite element method for double-diffusive natural convection in porous media
(2024)
This paper presents our contribution to the a posteriori error analysis in 2D and 3D of a semi-augmented mixed-primal finite element method previously developed by us to numerically solve double-diffusive natural convection ...
Stability of a second-order method for phase change in porous media flow
(2018)
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 ...
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
(2019)
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 ...
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion
(2023)
We present a new stress/total-pressure formulation for poroelasticity that incorporates the coupling with steady nonlinear diffusion modified by stress. This nonlinear problem is written in mixed-primal form, which combines ...
A posteriori error analysis for a viscous flow-transport problem
(2016)
In this paper we develop an a posteriori error analysis for an augmented mixed-primal finite element approximation of a stationary viscous flow and transport problem. The governing system corresponds to a scalar, nonlinear ...