34 citations · 269 across the 80 of their papers we have counts for
5 papers · 1 filter
The Virtual Element Method for a Minimal Surface Problem
Paola Francesca Antonietti, Silvia Bertoluzza, Daniele Prada +1
In this paper we consider the Virtual Element discretization of a minimal surface problem, a quasi-linear elliptic partial differential equation modeling the problem of minimizing…
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…
The virtual element method for linear elastodynamics models. Convergence, stability and dissipation-dispersion analysis
P. F. Antonietti, G. Manzini, I. Mazzieri +2
We design the conforming virtual element method for the numerical approximation of the two dimensional elastodynamics problem. We prove stability and convergence of the semi-discre…
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…
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids
P. F. Antonietti, P. Houston, G. Pennesi +1
In this article we design and analyze a class of two-level non-overlapping additive Schwarz preconditioners for the solution of the linear system of equations stemming from discont…