Intro

The ERC NEMESIS project has been funded in the 2023 Synergy call for a duration of six years.
Its goal is to lay the groundwork for a novel generation of numerical simulators by tackling key difficulties of PDE problems of the 21st century:
Incomplete differential operators in Hilbert complexes;
The efficient solution of the discrete problems relating to the latter;
The presence of nonlinear and hybrid-dimensional multi-physics, encountered in applications such as geological flows or magneto-hydrodynamics.

The NEMESIS project aims at overcoming the above difficulties, therefore boosting the prediction capabilities of numerical simulators in engineering and applied sciences. A key point will be the use of polytopal meshes and the higher-level point of view provided by polytopal constructions.

This kick-off workshop will gather a community of mathematicians and engineers working in the broad field of the project, with the goal of fostering exchanges and promoting long-term collaborations.

Program

Day 1 Day 2 Day 3
9:00 Welcome    
9:30 Daniele Di Pietro Barbara Wohlmuth Franco Dassi
10:00 Paola Antonietti Ulrich Rüde Ilario Mazzieri
10:30 Coffee break Coffee break Coffee break
10:45 Jérôme Droniou Marie Rognes Isabelle Faille
11:15 Lourenço Beirão da Veiga Walter Boscheri Paul Houston
11:45 Neela Nataraj Conclusion
12:15 Lunch break
plus Poster Session
Lunch break
plus Poster Session
Lunch break
plus Poster Session
14:15 Daniel Castanon Quiroz Jean-Luc Guermond
14:45 Johnny Guzman Simon Lemaire
15:15 Coffee break Coffee break
15:30 Lorenzo Mascotto Marco Verani
16:00 Alessandro Russo Roland Masson
16:30 Kaibo Hu Peter Wriggers
17:00 End of day 1 End of day 2

Confirmed Keynote Speakers

Boscheri Walter, Università di Ferrara
Talk title: Geometrically compatible finite volume schemes for continuum mechanics mechanics
Castanon Quiroz Daniel, IIMAS-UNAM
Talk title: An introduction to HHO methods with applications to incompressible fluid flows
Dassi Franco, Università di Milano Bicocca
Talk title: Divergence free Virtual Element in fluid mechanics
Faille Isabelle, IFPEN
Talk title: Some works related to general meshes in IFPEN geoscience simulators
Guermond Jean-Luc, Texas A&M
Talk title: spectral correctness of the approximation of Maxwell's equations written in first-order form
Guzman Johnny, Brown University
Talk title: TBA
Houston Paul, University of Nottingham
Talk title: High-Order Polytopic Discontinuous Galerkin Methods for Radiotherapy Treatment Planning
Hu Kaibo, University of Edinburgh
Talk title: Towards Finite Element Tensor Calculus
Lemaire Simon, Inria Lille
Talk title: Hybrid polyhedral approximation of div-curl systems
Mascotto Lorenzo, Università di Milano Bicocca
Talk title: Interpolation estimates for virtual element complexes
Masson Roland, Université de Nice Côte d'Azur
Talk title: Nodal fully discrete polytopal scheme for mixed-dimensional poromechanics with frictional contact at matrix fracture interfaces
Mazzieri Ilario, Politecnico di Milano
Talk title: Space-time RAS for wave problems on polytopal meshes
Nataraj Neela, IIT Bombay
Talk title: Lowest-order non standard FEM for Extended Fisher Kolmogorov Equations
Rognes Marie, Simula Research Laboratory
Talk title: Computational mathematics for the brain's waterscape
Rüde Ulrich, Friedrich-Alexander-Universität
Talk title: TBA
Russo Alessandro, Università di Milano Bicocca
Talk title: When Isoparametric met VEM (Virtual Elements for Solid Mechanics)
Verani Marco, Politecnico di Milano
Talk title: Virtual Element approximation of non-newtonian fluids
Wohlmuth Barbara, Technische Universität Münich
Talk title: TBA
Wriggers Peter, Universität Hannover
Talk title: Virtual elements for solids - an engineering perspective
Xu Jinchao, Penn State University
Talk title: TBA

Organizers

Paola F.
Antonietti

MOX,Dipartimento di Matematica,
Politecnico di Milano

Lourenço
Beirao da Veiga

Dipartimento di Matematica,
Università degli Studi di Milano Bicocca

Daniele A.
Di Pietro

Institut Montpelliérain Alexander Grothendieck,
Université de Montpellier

Jérôme
Droniou

Institut Montpelliérain Alexander Grothendieck,
Université de Montpellier

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