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A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems 

Gatica Pérez, Gabriel Nibaldo; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (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, ...
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Aposteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems 

Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2018-08-15)
In this paper we develop the aposteriorierror analysis of an augmented mixed-primal finite element method for the 2D and 3D versions of a stationary flow and transport coupled system, typically encountered in sedimentati ...
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Geometría: II y III ciclo Educación General Básica 

Rodríguez Alfaro, Analive (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, ...

A posteriori error analysis for a viscous flow-transport problem 

Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (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 ...

Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems 

Gatica Pérez, Gabriel Nibaldo; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (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 ...
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Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema 

Barnafi Wittwer, Nicolás Alejandro; Gómez Vargas, Bryan Andrés; Lourenço, Wesley De Jesus; Reis, Ruy Freitas; Rocha, Bernardo Martins; Lobosco, Marcelo; Ruiz Baier, Ricardo; Weber dos Santos, Rodrigo (2022-07-22)
In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested as an interaction between interstitial ...

Stability of a second-order method for phase change in porous media flow 

Álvarez Guadamuz, Mario Andrés; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo; Woodfield, James (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 ...
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Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem 

Anaya Domínguez, Verónica; De Wijn, Zoa; Gómez Vargas, Bryan Andrés; Mora Herrera, David; Ruiz Baier, Ricardo (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 ...

New mixed finite element methods for natural convection with phase-change in porous media 

Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (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 ...
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An augmented mixed–primal finite element method for a coupled flow–transport problem 

Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (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 ...
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AuthorRuiz Baier, Ricardo (19)Gómez Vargas, Bryan Andrés (12)Gatica Pérez, Gabriel Nibaldo (11)Álvarez Guadamuz, Mario Andrés (11)Anaya Domínguez, Verónica (3)Valverde Mora, David (3)De Oliveira Vilaca, Luis Miguel (2)Kumar, Sarvesh (2)Rodríguez Alfaro, Analive (2)Verma, Nitesh (2)... View MoreTypeartículo científico (20)libro (3)tesis de licenciatura (1)Procedence
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