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

Gatica, Gabriel N.; 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, ...

Velocity‑vorticity‑pressure formulation for the Oseen problem with variable viscosity 

Anaya Domínguez, Verónica; Caraballo, Rubén; Gómez Vargas, Bryan Andrés; Mora Herrera, David; Ruiz Baier, Ricardo (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 ...

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 ...

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 

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

Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems 

Gatica, Gabriel N.; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (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 

De Oliveira Vilaca, Luis Miguel; Gómez Vargas, Bryan Andrés; Kumar, Sarvesh; Ruiz Baier, Ricardo; Verma, Nitesh (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 ...
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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, Gabriel N.; 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 ...

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

Gatica, Gabriel N.; 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 ...

Stability and finite element approximation of phase change models for natural convection in porous media 

Woodfield, James; Álvarez Guadamuz, Mario Andrés; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (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 ...
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Gómez Vargas, Bryan Andrés (11)
Ruiz Baier, Ricardo (11)Gatica, Gabriel N. (4)Anaya Domínguez, Verónica (3)Mora Herrera, David (3)Álvarez Guadamuz, Mario Andrés (3)De Oliveira Vilaca, Luis Miguel (2)Kumar, Sarvesh (2)Verma, Nitesh (2)Woodfield, James (2)... View MoreTypeartículo científico (11)ProcedenceSedes Regionales (11)Vicerrectoría de Docencia (11)... View MoreHas File(s)Yes (11)

  • Repositorios universitarios

  • Repositorio del SIBDI-UCR
  • Biblioteca Digital del CIICLA
  • Repositorio Documental Rafael Obregón Loría (CIHAC)
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  • Colección de videos de UPA-VAS
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Repositorio Institucional de la Universidad de Costa Rica. Algunos derechos reservados. Este repositorio funciona con DSpace.