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07/04/2023
Robust finite element methods and solvers for the Biot–Brinkman equations in vorticity form
In this paper, we propose a new formulation and a suitable finite elemen...
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06/29/2023
New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
We propose four-field and five-field Hu–Washizu-type mixed formulations ...
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06/24/2023
Virtual element methods for Biot-Kirchhoff poroelasticity
This paper analyses conforming and nonconforming virtual element formula...
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06/06/2023
Numerical solution of the Biot/elasticity interface problem using virtual element methods
We propose, analyze and implement a virtual element discretization for a...
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10/15/2022
Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning
We propose a new mathematical model for the interaction of skin cell pop...
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07/06/2022
Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson–Nernst–Planck/Navier–Stokes equations
In this article, we propose and analyze a fully coupled, nonlinear, and ...
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04/07/2022
A new DG method for a pure–stress formulation of the Brinkman problem with strong symmetry
A strongly symmetric stress approximation is proposed for the Brinkman e...
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03/03/2022
Symmetric mixed discontinuous Galerkin methods for linear viscoelasticity
We propose and rigorously analyse semi- and fully discrete discontinuous...
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11/28/2021
Augmented finite element formulation for the Navier–Stokes equations with vorticity and variable viscosity
We propose and analyse an augmented mixed finite element method for the ...
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11/10/2021
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers
In this paper we advance the analysis of discretizations for a fluid-str...
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11/07/2021
Mixed methods for large-strain poroelasticity/chemotaxis models simulating the formation of myocardial oedema
In this paper we propose a novel coupled poroelasticity-diffusion model ...
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11/03/2021
Mechanochemical models for calcium waves in embryonic epithelia
In embryogenesis, epithelial cells, acting as individual entities or as ...
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09/30/2021
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion
We introduce a stress/total-pressure formulation for poroelasticity that...
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06/17/2021
The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye
We consider a multiphysics model for the flow of Newtonian fluid coupled...
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06/16/2021
Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling
We develop the a posteriori error analysis of three mixed finite element...
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03/02/2021
Coupling Stokes flow with inhomogeneous poroelasticity
We investigate the behaviour of a system where a single phase fluid doma...
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02/11/2021
Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis
The analysis of the double-diffusion model and 𝐇(div)-conforming method ...
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02/11/2021
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
A variational formulation is introduced for the Oseen equations written ...
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02/10/2021
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
We propose and analyse an augmented mixed finite element method for the ...
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01/12/2021
Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation
In this work we address the analysis of the stationary generalized Burge...
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11/10/2020
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure
We develop robust solvers for a class of perturbed saddle-point problems...
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01/02/2020
On the modelling, linear stability, and numerical simulation for advection-diffusion-reaction in poroelastic media
We perform the linear growth analysis for a new PDE-based model for poro...
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12/12/2019
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
A virtual element discretisation for the numerical approximation of the ...
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08/26/2019
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
We analyse a PDE system modelling poromechanical processes (formulated i...
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08/26/2019