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Mostrando ítems 11-20 de 20
Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems
(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
(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 ...
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
(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 ...
Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems
(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 ...
A mixed-primal finite element approximation of a sedimentation–consolidation system
(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 ...
Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
(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 ...
Velocity‑vorticity‑pressure formulation for the Oseen problem with variable viscosity
(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 ...
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
(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 ...
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport.
(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 ...
Analysis of a vorticity–based fully–mixed formulation for 3D Brinkman–Darcy problem.
(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 ...