NEw generation MEthods for numerical SImulationS

Informacje na temat projektu

NEMESIS

Identyfikator umowy o grant: 101115663

DOI

10.3030/101115663

Data podpisania przez KE 27 Listopada 2023

Data rozpoczęcia 1 Stycznia 2024

Data zakończenia 31 Grudnia 2029

Finansowanie w ramach

• European Research Council (ERC)

Koszt całkowity

€ 7 818 782,00

Wkład UE

€ 7 818 782,00

Koordynowany przez

UNIVERSITE DE MONTPELLIER
France

CORDIS oferuje możliwość skorzystania z odnośników do publicznie dostępnych publikacji i rezultatów projektów realizowanych w ramach programów ramowych HORYZONT.

Odnośniki do rezultatów i publikacji związanych z poszczególnymi projektami 7PR, a także odnośniki do niektórych konkretnych kategorii wyników, takich jak zbiory danych i oprogramowanie, są dynamicznie pobierane z systemu OpenAIRE .

Rezultaty

Data Management Plan (1)

Data Management Plan

Publikacje

Peer reviewed articles (46)

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

Autorzy: Badia, Santiago; Droniou, Jerome; Tushar, Jai
Opublikowane w: Foundations of Computational Mathematics, 2025, ISSN 1615-3383
Wydawca: Springer Nature
DOI: 10.48550/ARXIV.2409.15863

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

Autorzy: Antonietti, P.F.; Matalon, P.; Verani, M.
Opublikowane w: Computers & Mathematics with Applications, 2024, ISSN 1873-7668
Wydawca: Elsevier
DOI: 10.1016/J.CAMWA.2024.07.018

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

Autorzy: Jérôme Droniou, Marien Hanot, Todd Oliynyk
Opublikowane w: Journal of Computational Physics, Numer 529, 2025, ISSN 0021-9991
Wydawca: Elsevier BV
DOI: 10.1016/J.JCP.2025.113886

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

Autorzy: Paola F. Antonietti; Mattia Corti; Gabriele Martinelli
Opublikowane w: Mathematics and Computers in Simulation, 2026, ISSN 1872-7166
Wydawca: Elsevier
DOI: 10.48550/ARXIV.2406.10587

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

Autorzy: Antonietti Paola F., Caldana Matteo, Mazzieri Ilario, Re Fraschini Andrea
Opublikowane w: Engineering with Computers, 2025, ISSN 0177-0667
Wydawca: 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

Autorzy: Daniel Castanon Quiroz, Daniele A. Di Pietro
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 436, 2025, ISSN 0045-7825
Wydawca: 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"

Autorzy: Caterina B․ Leimer Saglio, Stefano Pagani, Paola F․ Antonietti
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 446, 2025, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/J.CMA.2025.118249

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

Autorzy: Mattia Corti; Francesca Bonizzoni; Paola F. Antonietti
Opublikowane w: Journal of Scientific Computing, Numer 39, 2024, ISSN 1573-7691
Wydawca: Springer Nature
DOI: 10.48550/ARXIV.2308.00547

Pressure and convection robust finite elements for magnetohydrodynamics

Autorzy: Beirão da Veiga L.; Dassi F.; Vacca G.
Opublikowane w: Numerische Mathematik, 2025, ISSN 0945-3245
Wydawca: Springer Nature
DOI: 10.48550/ARXIV.2405.05434

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

Autorzy: Paola F. Antonietti, Francesca Bonizzoni, Mattia Corti, Agnese Dall’Olio
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 431, 2025, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/J.CMA.2024.117282

Journal of Scientific Computing

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

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

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

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

Autorzy: Matteo Caldana, Paola F. Antonietti, Luca Dede'
Opublikowane w: Journal of Computational Physics, Numer 520, 2025, ISSN 0021-9991
Wydawca: 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

Autorzy: Jérôme Droniou, Ali Haidar, Roland Masson
Opublikowane w: ESAIM: Mathematical Modelling and Numerical Analysis, Numer 59, 2025, ISSN 2822-7840
Wydawca: EDP Sciences
DOI: 10.1051/M2AN/2025013

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

Autorzy: Chaumont-Frelet, Théophile; Gedicke, Joscha; Mascotto, Lorenzo
Opublikowane w: Mathematics of Computation, 2025, ISSN 1088-6842
Wydawca: AMS
DOI: 10.48550/ARXIV.2408.03148

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

Autorzy: Daniele A. Di Pietro, Marien-Lorenzo Hanot
Opublikowane w: Results in Applied Mathematics, Numer 23, 2024, ISSN 2590-0374
Wydawca: Elsevier BV
DOI: 10.1016/J.RINAM.2024.100496

Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics

Autorzy: Ivan Fumagalli, Mattia Corti, Nicola Parolini, Paola F. Antonietti
Opublikowane w: Journal of Computational Physics, Numer 513, 2025, ISSN 0021-9991
Wydawca: Elsevier BV
DOI: 10.1016/J.JCP.2024.113115

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

Autorzy: Stefano Bonetti, Michele Botti, Paola F Antonietti
Opublikowane w: IMA Journal of Numerical Analysis, Numer 45, 2025, ISSN 0272-4979
Wydawca: Oxford University Press (OUP)
DOI: 10.1093/IMANUM/DRAE045

Serendipity discrete complexes with enhanced regularity

Autorzy: Daniele A. Di Pietro; Marien Hanot; Marwa Salah
Opublikowane w: Calcolo, 2025, ISSN 1126-5434
Wydawca: 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

Autorzy: Mattia Corti
Opublikowane w: Brain Multiphysics, 2024, ISSN 2666-5220
Wydawca: 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

Autorzy: Michele Botti, Lorenzo Mascotto
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer 545, 2025, ISSN 0022-247X
Wydawca: Elsevier BV
DOI: 10.1016/J.JMAA.2024.129159

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

Autorzy: Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
Opublikowane w: Mathematics and Computers in Simulation, Numer 241, 2026, ISSN 0378-4754
Wydawca: Elsevier BV
DOI: 10.1016/J.MATCOM.2025.09.006

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

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

Mathematical Models and Methods in Applied Sciences

Autorzy: Lourenço Beirão da Veiga; Daniele A. Di Pietro; Kirubell B. Haile
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 34, 2024, ISSN 0218-2025
Wydawca: 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

Autorzy: Daniele A. Di Pietro, Simon Mendez, Aurelio E. Spadotto
Opublikowane w: Journal of Computational Physics, Numer 530, 2025, ISSN 0021-9991
Wydawca: Elsevier BV
DOI: 10.1016/J.JCP.2025.113920

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

Autorzy: Stefano Bonetti; Mattia Corti
Opublikowane w: Journal of Scientific Computing, 2025, ISSN 1573-7691
Wydawca: Springer Nature
DOI: 10.48550/ARXIV.2411.19610

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

Autorzy: Beirao da Veiga, Lourenco; Hu, Kaibo; Mascotto, Lorenzo
Opublikowane w: ESAIM: Mathematical Modelling and Numerical Analysis, 2025, ISSN 2822-7840
Wydawca: 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

Autorzy: Valentina Pederzoli, Mattia Corti, Davide Riccobelli, Paola F. Antonietti
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 444, 2025, ISSN 0045-7825
Wydawca: 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

Autorzy: Jérôme Droniou, Guillaume Enchéry, Isabelle Faille, Ali Haidar, Roland Masson
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 422, 2024, ISSN 0045-7825
Wydawca: 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

Autorzy: Lorenzo Botti, Michele Botti, Daniele Di Pietro, Francesco Massa
Opublikowane w: Mathematics of Computation, 2025, ISSN 0025-5718
Wydawca: American Mathematical Society (AMS)
DOI: 10.1090/mcom/4049

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

Autorzy: Jérôme Droniou, Jia Jia Qian
Opublikowane w: Mathematics in Engineering, Numer 6, 2024, ISSN 2640-3501
Wydawca: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/MINE.2024019

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

Autorzy: Jérôme Droniou, Mohamed Laaziri, Roland Masson
Opublikowane w: Journal of Computational Physics, Numer 515, 2024, ISSN 0021-9991
Wydawca: Elsevier BV
DOI: 10.1016/J.JCP.2024.113295

An exterior calculus framework for polytopal methods

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

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

Autorzy: Paola F. Antonietti, Stefano Bonetti, Michele Botti, Mattia Corti, Ivan Fumagalli, Ilario Mazzieri
Opublikowane w: ACM Transactions on Mathematical Software, Numer 51, 2025, ISSN 0098-3500
Wydawca: 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

Autorzy: Ilaria Fontana and Daniele A. Di Pietro
Opublikowane w: Comput. Meth. Appl. Mech. Engrg., Numer 425, 2024, ISSN 0045-7825
Wydawca: 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

Autorzy: Matteo Caldana, Paola F. Antonietti, Luca Dede'
Opublikowane w: Computers &amp; Mathematics with Applications, Numer 167, 2024, ISSN 0898-1221
Wydawca: Elsevier BV
DOI: 10.1016/J.CAMWA.2024.05.013

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

Autorzy: Daniele A. Di Pietro, Jérôme Droniou, Jia Jia Qian
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 421, 2024, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/J.CMA.2024.116765

A Virtual Element method for non-Newtonian pseudoplastic Stokes flows

Autorzy: Paola F. Antonietti, Lourenço Beirão da Veiga, Michele Botti, Giuseppe Vacca, Marco Verani
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 428, 2024, ISSN 0045-7825
Wydawca: Elsevier BV
DOI: 10.1016/J.CMA.2024.117079

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

Autorzy: Bonaldi, Francesco; Droniou, Jérôme; Masson, Roland
Opublikowane w: Mathematics of Computation, Numer 349, 2024, ISSN 1088-6842
Wydawca: AMS
DOI: 10.48550/ARXIV.2201.09646

Robust Finite Elements for Linearized Magnetohydrodynamics

Autorzy: L. Beirão da Veiga, F. Dassi, G. Vacca
Opublikowane w: SIAM Journal on Numerical Analysis, Numer 62, 2024, ISSN 0036-1429
Wydawca: 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

Autorzy: Daniele A. Di Pietro, Marien-Lorenzo Hanot
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 34, 2024, ISSN 0218-2025
Wydawca: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S0218202524500313

Discontinuous Galerkin discretization of coupled poroelasticity–elasticity problems

Autorzy: Paola F Antonietti, Michele Botti, Ilario Mazzieri
Opublikowane w: IMA Journal of Numerical Analysis, 2024, ISSN 0272-4979
Wydawca: Oxford University Press (OUP)
DOI: 10.1093/IMANUM/DRAE093

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

Autorzy: Ivan Fumagalli; Nicola Parolini; Marco Verani
Opublikowane w: Journal of Scientific Computing, 2025, ISSN 1573-7691
Wydawca: Springer Nature Link
DOI: 10.48550/ARXIV.2407.09659

Computer Methods in Applied Mechanics and Engineering

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

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

Autorzy: Jérôme Droniou, Gianmarco Manzini, Liam Yemm
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 429, 2024, ISSN 0045-7825
Wydawca: 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

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

Conference proceedings (1)

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

Autorzy: Paola F. Antonietti, Mattia Corti
Opublikowane w: Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1, 2025
Wydawca: 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

Autorzy: Dassi, F
Opublikowane w: Numerical Algorithms, 2024
Wydawca: Springer
DOI: 10.21203/RS.3.RS-4432259/V1

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

Autorzy: Beirao da Veiga, L; Dassi, F; Gomez Macias, S
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, 2024
Wydawca: Elsevier
DOI: 10.2139/SSRN.5000036