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Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow
Michele Botti, Ivan Fumagalli, Ilario Mazzieri
We focus on the numerical analysis of a polygonal discontinuous Galerkin scheme for the simulation of the exchange of fluid between a deformable saturated poroelastic structure and…
Mixed Virtual Element approximation of linear acoustic wave equation
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +1
We design a Mixed Virtual Element Method for the approximated solution to the first-order form of the acoustic wave equation. In absence of external load, the semi-discrete method…
On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods
Paola F. Antonietti, Michele Botti, Ilario Mazzieri
In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heteroge…
A Virtual Element Method for the wave equation on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +2
In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. C…
The conforming virtual element method for polyharmonic and elastodynamics problems: a review
Paola Francesca Antonietti, Gianmarco Manzini, Ilario Mazzieri +2
In this paper, we review recent results on the conforming virtual element approximation of polyharmonic and elastodynamics problems. The structure and the content of this review is…
A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids
Paola F. Antonietti, Michele Botti, Ilario Mazzieri +1
The aim of this work is to introduce and analyze a finite element discontinuous Galerkin method on polygonal meshes for the numerical discretization of acoustic waves propagation t…