27 citations · 69 across the 9 of their papers we have counts for
9 papers
An exterior calculus framework for polytopal methods
Francesco Bonaldi, Daniele A. Di Pietro, Jerome Droniou +1
We develop in this work the first polytopal complexes of differential forms. These complexes, inspired by the Discrete De Rham and the Virtual Element approaches, are discrete vers…
An Improved Normal Compliance Method for Dynamic Hyperelastic Problems with Energy Conservation Property
Mikaël Barboteu, Francesco Bonaldi, David Danan +1
The purpose of this work is to present an improved energy conservation method for hyperelastodynamic contact problems based on specific normal compliance conditions. In order to de…
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces
Francesco Bonaldi, Jérôme Droniou, Roland Masson
We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including fric…
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
Francesco Bonaldi, Jérôme Droniou, Roland Masson +1
We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures a…
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +3
We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dim…
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +1
We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfac…
Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method
Paola F. Antonietti, Francesco Bonaldi, Ilario Mazzieri
In this paper we present a numerical discretization of the coupled elasto-acoustic wave propagation problem based on a Discontinuous Galerkin Spectral Element (DGSE) approach in a…
A high-order discontinuous Galerkin approach to the elasto-acoustic problem
Paola F. Antonietti, Francesco Bonaldi, Ilario Mazzieri
We address the spatial discretization of an evolution problem arising from the coupling of viscoelastic and acoustic wave propagation phenomena by employing a discontinuous Galerki…
A Hybrid High-Order method for Kirchhoff-Love plate bending problems
Francesco Bonaldi, Daniele A. Di Pietro, Giuseppe Geymonat +1
We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff-Love plates, i…