31 citations · 55 across the 25 of their papers we have counts for
4 papers · 2 filters
Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies
Gabriele Ciaramella, Martin J. Gander, Ilario Mazzieri
We thoroughly investigate Discontinuous Galerkin (DG) discretizations as time integrators for second-order oscillatory systems, considering both second-order and first-order formul…
A review of discontinuous Galerkin time-stepping methods for wave propagation problems
Paola F. Antonietti, Alberto Artoni, Gabriele Ciaramella +1
This chapter reviews and compares discontinuous Galerkin time-stepping methods for the numerical approximation of second-order ordinary differential equations, particularly those s…
MAGNET: an open-source library for mesh agglomeration by Graph Neural Networks
Paola F. Antonietti, Matteo Caldana, Ilario Mazzieri +1
We introduce MAGNET, an open-source Python library designed for mesh agglomeration in both two- and three-dimensions, based on employing Graph Neural Networks (GNN). MAGNET serves…
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…