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19952026
most citedA SIDARTHE Model of COVID-19 Epidemic in Italy

1.9k citations

Showing 2021 · math.NAShow all

26 papers · 2 filters

math.NA2021★ 15 cited

Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information

Matteo Giacomini, Simona Perotto

A finite element-based image segmentation strategy enhanced by an anisotropic mesh adaptation procedure is presented. The methodology relies on a split Bregman algorithm for the mi…

math.NA2021

On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods

Paola F. Antonietti, Michele Botti, Ilario Mazzieri

In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heteroge…

math.NA2021★ 22 cited

An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases

Giuseppe Orlando, Paolo Francesco Barbante, Luca Bonaventura

We propose an efficient, accurate and robust IMEX solver for the compressible Navier-Stokes equation describing non-ideal gases with general equations of state. The method, which i…

math.NA2021

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property

L. Beirao da Veiga, C. Canuto, R. H. Nochetto +2

In the present paper we initiate the challenging task of building a mathematically sound theory for Adaptive Virtual Element Methods (AVEMs). Among the realm of polygonal meshes, w…

math.NA2021★ 12 cited

Accelerating Algebraic Multigrid Methods via Artificial Neural Networks

Paola F. Antonietti, Matteo Caldana, Luca Dede'

We present a novel deep learning-based algorithm to accelerate - through the use of Artificial Neural Networks (ANNs) - the convergence of Algebraic Multigrid (AMG) methods for the…

math.NA2021★ 11 cited

A Machine Learning approach to enhance the SUPG stabilization method for advection-dominated differential problems

Tommaso Tassi, Alberto Zingaro, Luca Dede'

We propose using machine learning and artificial neural networks (ANNs) to enhance residual-based stabilization methods for advection-dominated differential problems. Specifically,…