NEMESIS - WORKSHOP

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

Antonietti Paola F. (PI), Politecnico di Milano
Talk title: Machine learning - enhanced polytopal finite element methods

Beirao da Veiga Lourenço (PI), Università degli Studi di Milano Bicocca
Talk title: Convection robust elements in Magnetohydrodynamics (RC4)

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

Di Pietro Daniele A., (Corresponding PI), Université de Montpellier
Talk title: Polytopal approximations of Hilbert complexes

Droniou Jérôme (PI), Université de Montpellier
Talk title: Analysis approaches for polytopal schemes - the linear and nonlinear cases

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: Hierarchical structures are necessary for efficient solver

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

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

Contact