Listar Matemática por autor "c258ed9f-54f9-4abf-8c86-8e8a7a281d3c"
Mostrando ítems 1-11 de 11
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A mixed-primal finite element approximation of a sedimentation–consolidation system
Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2016)This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ... -
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport.
Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2021-01)This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable material, where the ... -
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 ... -
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2017-09-05)We develop the a posteriori error analysis for a mixed finite element method applied to the coupling of Brinkman and Darcy equations in 3D, modelling the interaction of viscous and non-viscous flow effects across a given ... -
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, ... -
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 ... -
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
Gatica Pérez, Gabriel Nibaldo; 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 ... -
Analysis of a vorticity–based fully–mixed formulation for 3D Brinkman–Darcy problem.
Álvarez Guadamuz, Mario Andrés; Gatica Pérez, Gabriel Nibaldo; Ruiz Baier, Ricardo (2016)We propose and analyze a fully-mixed finite element method to numerically approximate the flow patterns of a viscous fluid within a highly permeable medium (an array of low concentration fixed particles), described by ... -
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 ... -
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 ... -
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 ...