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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 ...
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 ...
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 ...
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 ...
Aposteriori error estimation for an augmented mixed-primal method applied to sedimentation–consolidation systems
(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 ...
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 of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media
(2022-05-15)
In this paper we study a stationary double-diffusive natural convection problem in porous media given by a Navier-Stokes/Brinkman type system, for describing the velocity and the pressure, coupled to a vector advection-diffusion ...
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 ...