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Publications list

- Articles : A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations (2024-03-01) , Di Pietro Daniele, Droniou Jérôme, Qian Jia Jia

- Articles (preprint) : An exterior calculus framework for polytopal methods (2024-01-01) , Bonaldi Francesco, Di Pietro Daniele, Droniou Jérôme, Hu Kaibo

- Articles : Two arbitrary-order constraint-preserving schemes for the Yang-Mills equations on polyhedral meshes (2024-06-25) , Droniou Jérôme, Qian Jia Jia

- Articles (preprint) : An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact (2024-01-01) , Fontana Ilaria, Di Pietro Daniele

- Articles (preprint) : A Péclet-robust discontinuous Galerkin method for nonlinear diffusion with advection (2024-01-01) , Beirão da Veiga Lourenço, Di Pietro Daniele, Haile Kirubell

- Articles (preprint) : Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction (2024-04-03) , Droniou Jérôme, Haidar Ali, Masson Roland

- Articles (preprint) : A Virtual Element method for non-Newtonian fluid flows (2024-03-07) , Antonietti Paola, Beirão da Veiga Lourenço, Botti Michele, Vacca Giuseppe, Verani Marco

- Articles (preprint) : Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning (2024-02-26) , Caldana Matteo, Antonietti Paola, Dedè Luca

- Articles (preprint) : lymph: discontinuous poLYtopal methods for Multi-PHysics differential problems (2024-01-24) , Antonietti Paola, Bonetti Stefano, Botti Michele, Corti Mattia, Fumagalli Ivan, Mazzieri Ilario

- Articles (preprint) : A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs (2024-04-21) , Antonietti Paola, Caldana Matteo, Dedè Luca

- Articles (preprint) : Robust discontinuous Galerkin-based scheme for the fully-coupled non-linear thermo-hydro-mechanical problem (2023-11-29) , Antonietti Paola, Botti Michele, Bonetti Stefano

- Articles : A bubble VEM-fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces (2024-03-15) , Droniou Jérôme, Enchéry Guillaume, Faille Isabelle, Haidar Ali, Masson Roland

- Articles (preprint) : A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations (2024-04-11) , Droniou Jérôme, Hanot Marien, Oliynyk Todd

- Articles (preprint) : Discretisations of mixed-dimensional Thermo-Hydro-Mechanical models preserving energy estimates (2023-01-22) , Droniou Jérôme, Laaziri Mohamed, Masson Roland

- Articles : The eXtended Virtual Element Method for elliptic problems with weakly singular solutions (2024-04-16) , Droniou Jérôme, Manzini Gianmarco, Yemm Liam

- Articles (preprint) : A Virtual Element method for non-Newtonian pseudoplastic Stokes flows (2024-08-01) , Antonietti Paola, Beirão da Veiga Lourenço, Verani Marco, Vacca Giuseppe, Botti Michele

- Articles (preprint) : Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics (2024-09-15) , Antonietti Paola, Parolini Nicola, Corti Mattia, Fumagalli Ivan

- Articles : Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces (2024-03-07) , Bonaldi Francesco, Droniou Jérôme, Masson Roland

- Articles : Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases (2024-06-20) , Antonietti Paola, Corti Mattia, Bonizzoni Francesca

- Articles (preprint) : Serendipity discrete complexes with enhanced regularity (2024-07-17) , Di Pietro Daniele, Hanot Marien, Salah Marwa


Dissemination list

- Plenary/semi-plenary lecture : KAM Conference Center Chania, Crete Island, 2023-09-08, HONOM2024, High-Order NOnlinear numerical Methods for evolutionary PDEs: theory and applications, Speaker : Antonietti, Paola

- Invited seminar : Politecnico di Milano , 2023-11-13, Interview Alumni, Speaker : Antonietti, Paola

- Scientific animation : PAM - Podcast di Matematica , 2023-12-11, Matematica alla scoperta del cervello, Animator : Antonietti, Paola

- Invited presentation in mini-symposium : Concepcion (Chile), 2024-01-16, WONAPDE 2024, Recent Advances in Polytopic Methods, A Deeper Investigation On Virtual Element Accuracy: The Role Of Bulk And Boundary Approximations, Speaker : Beirão da Veiga, Lourenço

- Invited seminar : Università di Bergamo, 2024-02-14, An introduction to Discrete de Rham (DDR) methods, Speaker : Di Pietro, Daniele

- General public conference : Collegio Ghislieri (Pavia, Italy), 2024-02-22, Approssimazione numerica di sistemi fisici, Speaker : Di Pietro, Daniele

- Conference/workshop : Padua - PINN-PAD, 2024-02-22, Physics Informed Neural Networks, Organiser : Antonietti, Paola

- Plenary/semi-plenary lecture : Wissant, France, 2024-03-07, HIPOTHEC workshop, An introduction to Discrete de Rham (DDR) methods, Speaker : Di Pietro, Daniele

- Plenary/semi-plenary lecture : Cambridge, UK, 2024-03-08, PAMIR, Simultaneously evolved Point values, Averages, and Moments and their Inter-Relation, ML-enhanced Polytopal Finite Element methods, Speaker : Antonietti, Paola

- Plenary/semi-plenary lecture : Cambridge, UK, 2024-03-08, PAMIR, Simultaneously evolved Point values, Averages, and Moments and their Inter-Relation, The discrete de Rham complex, and its application to the Navier–Stokes equations, Speaker : Droniou, Jérôme

- Invited seminar : Karlsruhe Institute of Technology (KIT), 2024-04-18, On space-time RAS methods for wave-type equations, Speaker : Ciaramella, Gabriele

- Invited seminar : Scuola Superiore Meridionale, Naples, 2024-05-02, Basic principles of polytopal approximations of partial differential equations, Speaker : Di Pietro, Daniele

- Conference/workshop : IIS "Lorenzo Federici", Trescore Balneario (BG), 2024-05-03, Matematica numerica per contrastare il cambiamento climatico, Organiser : Botti, Michele

- Plenary/semi-plenary lecture : Sevilla , 2024-06-03, 2024 ECM24, 9th European Congress of Mathematics, Speaker : Antonietti, Paola

- Plenary/semi-plenary lecture : Lisboa , 2024-06-05, ECCOMAS 2024, The 9th European Congress on Computational Methods in Applied Sciences and Engineering , Speaker : Antonietti, Paola

- Plenary/semi-plenary lecture : INRIA Lille, 2024-06-11, New Trends in the Numerical Analysis of PDE , The Exterior Calculus Discrete De Rham complex, Speaker : Droniou, Jérôme

- Plenary/semi-plenary lecture : Montpellier, 2024-06-19, MIPS Colloquia, A new generation of numerical methods for partial differential equations: The NEMESIS project, Speaker : Di Pietro, Daniele

- Plenary/semi-plenary lecture : Montpellier, 2024-06-19, NEMESIS kick-off workshop, Polytopal approximations of Hilbert complexes, Speaker : Di Pietro, Daniele

- Plenary/semi-plenary lecture : Montpellier, 2024-06-19, NEMESIS kick-off workshop, Analysis approaches for polytopal schemes – the linear and nonlinear cases, Speaker : Droniou, Jérôme

- Plenary/semi-plenary lecture : Montpellier , 2024-06-19, NEMESIS kick-off workshop, Machine learning-enhanced polytopal finite element methods, Speaker : Antonietti, Paola

- Invited presentation in mini-symposium : Vancouver Conference Center, 2024-07-23, WCCM-PANCAM 24, Advance modeling and simulation in complex porous media, Bubble-stabilised polytopal scheme for flows in fractured media with frictional contact, Speaker : Droniou, Jérôme


Author list

-Antonietti, Paola (Politecnico di Milano)

-Beirão da Veiga, Lourenço (Università di Milano Bicocca)

-Bonaldi, Francesco (Université de Perpignan)

-Bonetti, Stefano (Politecnico di Milano)

-Bonizzoni, Francesca (Politecnico di Milano)

-Botti, Michele (Politecnico di Milano)

-Caldana, Matteo (Politecnico di Milano)

-Castanon Quiroz, Daniel (IIMAS-UNAM)

-Ciaramella, Gabriele (Politecnico di Milano)

-Corti, Mattia (Politecnico di Milano)

-Dedè, Luca (Politecnico di Milano)

-Di Pietro, Daniele (Université de Montpellier)

-Droniou, Jérôme (CNRS)

-Enchéry, Guillaume (IFP Energies Nouvelles)

-Faille, Isabelle (IFP Energies Nouvelles)

-Fontana, Ilaria (Northwestern University)

-Fumagalli, Ivan (Politecnico di Milano)

-Haidar, Ali (Université Côte d'Azur, Inria, Laboratoire J.A. Dieudonné; IFP Energies nouvelles)

-Haile, Kirubell (Università di Milano Bicocca)

-Hanot, Marien (University of Edinburgh)

-Hu, Kaibo (University of Edinburgh)

-Laaziri, Mohamed (Université Côte d’Azur, Inria, Laboratoire J.A. Dieudonné)

-Manzini, Gianmarco (CNR IMATI)

-Masson, Roland (Université Côte d'Azur, Inria, Laboratoire J.A. Dieudonné)

-Mazzieri, Ilario (Politecnico di Milano)

-Michele, Botti (Politecnico di Milano)

-Oliynyk, Todd (Monash University)

-Parolini, Nicola (Politecnico di Milano)

-Qian, Jia Jia (Monash University)

-Salah, Marwa (Université de Montpellier)

-Vacca, Giuseppe (Università degli Studi di Bari)

-Verani, Marco (Politecnico di Milano)

-Yemm, Liam (Monash University)