activity
20132026
most citedA high-order discontinuous Galerkin method for nonlinear sound waves

31 citations · 55 across the 25 of their papers we have counts for

collaborators

26 papers

math.NA2026

A note on the discrete Unmapped Tent Pitching for the heterogeneous wave equation

Marcella Bonazzoli, Gabriele Ciaramella, Ilario Mazzieri

The Unmapped Tent Pitching (UTP) algorithm is a space-time domain decomposition method for the parallel solution of wave-type problems. We have recently extended UTP to heterogeneo…

math.NA2026

A hybrid reduced-order and high-fidelity discontinuous Galerkin Spectral Element framework for large-scale PMUT array simulations

Paola F. Antonietti, Omer M. O. Abdalla, Michelangelo G. Garroni +2

Piezoelectric Micromachined Ultrasonic Transducers (PMUTs) are essential for next-generation ultrasonic sensing and imaging due to their bidirectional electromechanical behavior, c…

math.NA2026

Optimized Schwarz Waveform Relaxation for the Damped Wave Equation

Gerardo Cicalese, Gabriele Ciaramella, Ilario Mazzieri +1

The performance of Schwarz Waveform Relaxation is critically dependent on the choice of transmission conditions. While classical absorbing conditions work well for wave propagation…

math.NA2026

On the unmapped tent pitching for the heterogeneous wave equation

Marcella Bonazzoli, Gabriele Ciaramella, Ilario Mazzieri

The Unmapped Tent Pitching (UTP) algorithm is a space--time domain decomposition method for the parallel solution of hyperbolic problems. It was originally introduced for the homog…

math.NA2025

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…

math.NA2025

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…