NEw generation MEthods for numerical SImulationS

Información del proyecto

NEMESIS

Identificador del acuerdo de subvención: 101115663

DOI

10.3030/101115663

Fecha de la firma de la CE 27 Noviembre 2023

Fecha de inicio 1 Enero 2024

Fecha de finalización 31 Diciembre 2029

Financiado con arreglo a

• European Research Council (ERC)

Coste total

€ 7 818 782,00

Aportación de la UE

€ 7 818 782,00

Coordinado por

UNIVERSITE DE MONTPELLIER
France

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Resultado final

Data Management Plan (1)

Data Management Plan

Publicaciones

Peer reviewed articles (46)

A Discrete Trace Theory for Non-Conforming Polytopal Hybrid Discretisation Methods

Autores: Badia, Santiago; Droniou, Jerome; Tushar, Jai
Publicado en: Foundations of Computational Mathematics, 2025, ISSN 1615-3383
Editor: Springer Nature
DOI: 10.48550/ARXIV.2409.15863

Iterative Solution to the Biharmonic Equation in Mixed Form Discretized by the Hybrid High-Order Method

Autores: Antonietti, P.F.; Matalon, P.; Verani, M.
Publicado en: Computers & Mathematics with Applications, 2024, ISSN 1873-7668
Editor: Elsevier
DOI: 10.1016/J.CAMWA.2024.07.018

A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations

Autores: Jérôme Droniou, Marien Hanot, Todd Oliynyk
Publicado en: Journal of Computational Physics, Edición 529, 2025, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2025.113886

Polytopal mesh agglomeration via geometrical deep learning for three-dimensional heterogeneous domains

Autores: Paola F. Antonietti; Mattia Corti; Gabriele Martinelli
Publicado en: Mathematics and Computers in Simulation, 2026, ISSN 1872-7166
Editor: Elsevier
DOI: 10.48550/ARXIV.2406.10587

MAGNET: an open-source library for mesh agglomeration by graph neural networks

Autores: Antonietti Paola F., Caldana Matteo, Mazzieri Ilario, Re Fraschini Andrea
Publicado en: Engineering with Computers, 2025, ISSN 0177-0667
Editor: Springer Verlag
DOI: 10.1007/S00366-025-02223-Y

A Reynolds-semi-robust and pressure-robust Hybrid High-Order method for the time dependent incompressible Navier–Stokes equations on general meshes

Autores: Daniel Castanon Quiroz, Daniele A. Di Pietro
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 436, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.117660

"A <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" altimg=""si31.svg""> <mml:mi>p</mml:mi> </mml:math> -adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology"

Autores: Caterina B․ Leimer Saglio, Stefano Pagani, Paola F․ Antonietti
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 446, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2025.118249

Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases

Autores: Mattia Corti; Francesca Bonizzoni; Paola F. Antonietti
Publicado en: Journal of Scientific Computing, Edición 39, 2024, ISSN 1573-7691
Editor: Springer Nature
DOI: 10.48550/ARXIV.2308.00547

Pressure and convection robust finite elements for magnetohydrodynamics

Autores: Beirão da Veiga L.; Dassi F.; Vacca G.
Publicado en: Numerische Mathematik, 2025, ISSN 0945-3245
Editor: Springer Nature
DOI: 10.48550/ARXIV.2405.05434

Discontinuous Galerkin approximations of the heterodimer model for protein–protein interaction

Autores: Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti, Agnese Dall’Olio
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 431, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.117282

Journal of Scientific Computing

Autores: Paul Houston; Matthew E. Hubbard; Thomas J. Radley; Oliver J. Sutton; Richard S. J. Widdowson
Publicado en: Journal of Scientific Computing, 2024, ISSN 0885-7474
Editor: Journal of scientific computing
DOI: 10.48550/ARXIV.2304.09592

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

Autores: Di Pietro, Daniele; Dong, Zhaonan; Kanschat, Guido; Matalon, Pierre; Rupp, Andreas
Publicado en: Numerical Methods for Partial Differential Equations, 2025, ISSN 1098-2426
Editor: Wiley
DOI: 10.48550/ARXIV.2403.15858

Discovering artificial viscosity models for discontinuous Galerkin approximation of conservation laws using physics-informed machine learning

Autores: Matteo Caldana, Paola F. Antonietti, Luca Dede'
Publicado en: Journal of Computational Physics, Edición 520, 2025, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2024.113476

Analysis of a VEM–fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction

Autores: Jérôme Droniou, Ali Haidar, Roland Masson
Publicado en: ESAIM: Mathematical Modelling and Numerical Analysis, Edición 59, 2025, ISSN 2822-7840
Editor: EDP Sciences
DOI: 10.1051/M2AN/2025013

Generalised gradients for virtual elements and applications to a posteriori error analysis

Autores: Chaumont-Frelet, Théophile; Gedicke, Joscha; Mascotto, Lorenzo
Publicado en: Mathematics of Computation, 2025, ISSN 1088-6842
Editor: AMS
DOI: 10.48550/ARXIV.2408.03148

Uniform Poincaré inequalities for the Discrete de Rham complex on general domains

Autores: Daniele A. Di Pietro, Marien-Lorenzo Hanot
Publicado en: Results in Applied Mathematics, Edición 23, 2024, ISSN 2590-0374
Editor: Elsevier BV
DOI: 10.1016/J.RINAM.2024.100496

Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics

Autores: Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti
Publicado en: Journal of Computational Physics, Edición 513, 2025, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2024.113115

Robust discontinuous Galerkin-based scheme for the fully-coupled nonlinear thermo-hydro-mechanical problem

Autores: Stefano Bonetti, Michele Botti, Paola F Antonietti
Publicado en: IMA Journal of Numerical Analysis, Edición 45, 2025, ISSN 0272-4979
Editor: Oxford University Press (OUP)
DOI: 10.1093/IMANUM/DRAE045

Serendipity discrete complexes with enhanced regularity

Autores: Daniele A. Di Pietro; Marien Hanot; Marwa Salah
Publicado en: Calcolo, 2025, ISSN 1126-5434
Editor: Springer Nature
DOI: 10.48550/ARXIV.2407.12625

Exploring tau protein and amyloid-beta propagation: A sensitivity analysis of mathematical models based on biological data

Autores: Mattia Corti
Publicado en: Brain Multiphysics, 2024, ISSN 2666-5220
Editor: ELSEVIER
DOI: 10.1016/J.BRAIN.2024.100098

A Nečas-Lions inequality with symmetric gradients on star-shaped domains based on a first order Babuška-Aziz inequality

Autores: Michele Botti, Lorenzo Mascotto
Publicado en: Journal of Mathematical Analysis and Applications, Edición 545, 2025, ISSN 0022-247X
Editor: Elsevier BV
DOI: 10.1016/J.JMAA.2024.129159

A structure-preserving LDG discretization of the Fisher–Kolmogorov equation for modeling neurodegenerative diseases

Autores: Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
Publicado en: Mathematics and Computers in Simulation, Edición 241, 2026, ISSN 0378-4754
Editor: Elsevier BV
DOI: 10.1016/J.MATCOM.2025.09.006

A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures

Autores: Caterina B. Leimer Saglio; Stefano Pagani; Mattia Corti; Paola F. Antonietti
Publicado en: Computers &amp; Mathematics with Applications, 2026, ISSN 1873-7668
Editor: Elsevier
DOI: 10.2139/SSRN.4706775

Mathematical Models and Methods in Applied Sciences

Autores: Lourenço Beirão da Veiga; Daniele A. Di Pietro; Kirubell B. Haile
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 34, 2024, ISSN 0218-2025
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0218202524500350

A discrete de Rham discretization of interface diffusion problems with application to the Leaky Dielectric Model

Autores: Daniele A. Di Pietro, Simon Mendez, Aurelio E. Spadotto
Publicado en: Journal of Computational Physics, Edición 530, 2025, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2025.113920

Unified Discontinuous Galerkin Analysis of a Thermo/Poro-viscoelasticity Model

Autores: Stefano Bonetti; Mattia Corti
Publicado en: Journal of Scientific Computing, 2025, ISSN 1573-7691
Editor: Springer Nature
DOI: 10.48550/ARXIV.2411.19610

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

Autores: Beirao da Veiga, Lourenco; Hu, Kaibo; Mascotto, Lorenzo
Publicado en: ESAIM: Mathematical Modelling and Numerical Analysis, 2025, ISSN 2822-7840
Editor: edp sciences
DOI: 10.48550/ARXIV.2407.19748

A coupled mathematical and numerical model for protein spreading and tissue atrophy applied to Alzheimer’s disease

Autores: Valentina Pederzoli, Mattia Corti, Davide Riccobelli, Paola F. Antonietti
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 444, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2025.118118

A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix–fracture interfaces

Autores: Jérôme Droniou, Guillaume Enchéry, Isabelle Faille, Ali Haidar, Roland Masson
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 422, 2024, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.116838

Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure

Autores: Lorenzo Botti, Michele Botti, Daniele Di Pietro, Francesco Massa
Publicado en: Mathematics of Computation, 2025, ISSN 0025-5718
Editor: American Mathematical Society (AMS)
DOI: 10.1090/mcom/4049

Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes

Autores: Jérôme Droniou, Jia Jia Qian
Publicado en: Mathematics in Engineering, Edición 6, 2024, ISSN 2640-3501
Editor: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/MINE.2024019

Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates

Autores: Jérôme Droniou, Mohamed Laaziri, Roland Masson
Publicado en: Journal of Computational Physics, Edición 515, 2024, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2024.113295

An exterior calculus framework for polytopal methods

Autores: Francesco Bonaldi, Daniele Antonio Di Pietro, Jérôme Droniou, Kaibo Hu
Publicado en: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Editor: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/JEMS/1602

<tt>lymph</tt> : Discontinuous Polytopal Methods for Multi-Physics Differential Problems

Autores: Paola F. Antonietti, Stefano Bonetti, Michele Botti, Mattia Corti, Ivan Fumagalli, Ilario Mazzieri
Publicado en: ACM Transactions on Mathematical Software, Edición 51, 2025, ISSN 0098-3500
Editor: Association for Computing Machinery (ACM)
DOI: 10.1145/3716310

An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact

Autores: Ilaria Fontana and Daniele A. Di Pietro
Publicado en: Comput. Meth. Appl. Mech. Engrg., Edición 425, 2024, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.116950

A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs

Autores: Matteo Caldana, Paola F. Antonietti, Luca Dede'
Publicado en: Computers &amp; Mathematics with Applications, Edición 167, 2024, ISSN 0898-1221
Editor: Elsevier BV
DOI: 10.1016/J.CAMWA.2024.05.013

A pressure-robust Discrete de Rham scheme for the Navier–Stokes equations

Autores: Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 421, 2024, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.116765

A Virtual Element method for non-Newtonian pseudoplastic Stokes flows

Autores: Paola F. Antonietti, Lourenço Beirão da Veiga, Michele Botti, Giuseppe Vacca, Marco Verani
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 428, 2024, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.117079

Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces

Autores: Bonaldi, Francesco; Droniou, Jérôme; Masson, Roland
Publicado en: Mathematics of Computation, Edición 349, 2024, ISSN 1088-6842
Editor: AMS
DOI: 10.48550/ARXIV.2201.09646

Robust Finite Elements for Linearized Magnetohydrodynamics

Autores: L. Beirão da Veiga, F. Dassi, G. Vacca
Publicado en: SIAM Journal on Numerical Analysis, Edición 62, 2024, ISSN 0036-1429
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1582783

A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem

Autores: Daniele A. Di Pietro, Marien-Lorenzo Hanot
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 34, 2024, ISSN 0218-2025
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0218202524500313

Discontinuous Galerkin discretization of coupled poroelasticity–elasticity problems

Autores: Paola F Antonietti, Michele Botti, Ilario Mazzieri
Publicado en: IMA Journal of Numerical Analysis, 2024, ISSN 0272-4979
Editor: Oxford University Press (OUP)
DOI: 10.1093/IMANUM/DRAE093

A Posteriori Error Analysis for a Coupled Stokes-Poroelastic System with Multiple Compartments

Autores: Ivan Fumagalli; Nicola Parolini; Marco Verani
Publicado en: Journal of Scientific Computing, 2025, ISSN 1573-7691
Editor: Springer Nature Link
DOI: 10.48550/ARXIV.2407.09659

Computer Methods in Applied Mechanics and Engineering

Autores: Paola F. Antonietti; Michele Botti; Alessandra Cancrini; Ilario Mazzieri
Publicado en: Computer Methods in Applied Mechanics and Engineering, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.2139/SSRN.5207076

The eXtended virtual element method for elliptic problems with weakly singular solutions

Autores: Jérôme Droniou, Gianmarco Manzini, Liam Yemm
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 429, 2024, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.117129

A Reynolds-SemiRobust Method with Hybrid Velocity and Pressure for the Unsteady Incompressible Navier–Stokes Equations

Autores: L. Beirão da Veiga, D. A. Di Pietro, J. Droniou, K. B. Haile, T. J. Radley
Publicado en: SIAM Journal on Numerical Analysis, Edición 63, 2025, ISSN 0036-1429
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/25M1736104

Conference proceedings (1)

Numerical Modelling of Protein Misfolding in Neurodegenerative Diseases: A Computational Study

Autores: Paola F. Antonietti, Mattia Corti
Publicado en: Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1, 2025
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-031-86173-4_1

Other (2)

Vem++, a C++ library to handle and play with the virtual element method

Autores: Dassi, F
Publicado en: Numerical Algorithms, 2024
Editor: Springer
DOI: 10.21203/RS.3.RS-4432259/V1

SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection–diffusion equation

Autores: Beirao da Veiga, L; Dassi, F; Gomez Macias, S
Publicado en: Computer Methods in Applied Mechanics and Engineering, 2024
Editor: Elsevier
DOI: 10.2139/SSRN.5000036