4 papers
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…
A high-order discontinuous Galerkin method for nonlinear sound waves
Paola. F. Antonietti, Ilario Mazzieri, Markus Muhr +2
We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with and without losses, we use Westervelt's nonl…
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…