6 papers
A posteriori error analysis for a coupled Stokes-poroelastic system with multiple compartments
Ivan Fumagalli, Nicola Parolini, Marco Verani
The discretization of fluid-poromechanics systems is typically highly demanding in terms of computational effort. This is particularly true for models of multiphysics flows in the…
A Virtual Element method for non-Newtonian fluid flows
P. F. Antonietti, L. Beirao da Veiga, M. Botti +2
In this paper, we design and analyze a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the…
Structure-preserving neural networks in data-driven rheological models
Nicola Parolini, Andrea Poiatti, Julian Vene' +1
In this paper we address the importance and the impact of employing structure preserving neural networks as surrogate of the analytical physics-based models typically employed to d…
Level set-fitted polytopal meshes with application to structural topology optimization
Nicola Ferro, Stefano Micheletti, Nicola Parolini +3
We propose a method to modify a polygonal mesh in order to fit the zero-isoline of a level set function by extending a standard body-fitted strategy to a tessellation with arbitrar…
-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
Paola F. Antonietti, Simone Scacchi, Giuseppe Vacca +1
We consider the -Virtual Element Method (VEM) for the conforming numerical approximation of some variants of the Cahn-Hilliard equation on polygonal meshes. In particular, we…
On arbitrarily regular conforming virtual element methods for elliptic partial differential equations
Paola Francesca Antonietti, Gianmarco Manzini, Simone Scacchi +1
The Virtual Element Method (VEM) is a very effective framework to design numerical approximations with high global regularity to the solutions of elliptic partial differential equa…