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From the 1 of 9 linked papers with an AI index.

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9 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

The paper introduces a computational framework that combines model order reduction with a discontinuous Galerkin spectral element method to efficiently simulate large arrays of pie…

math.NA2026

Discontinuous Galerkin discretization of coupled poroelasticity-elasticity problems

Paola F. Antonietti, Michele Botti, Ilario Mazzieri

This work is concerned with the analysis of a space-time finite element discontinuous Galerkin method on polytopal meshes (XT-PolydG) for the numerical discretization of wave propa…

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.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.NA2025

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…