Schools CEA - EDF - INRIA

Numerical analysis school 2023

Numerical analysis school 2023: contents, program, dates, practical information.

2023 summer school on numerical analysis

Robust polyhedral discretizations for computational mechanics


Robust polyhedral discretizations for computational mechanics

The aim of this summer school is to present a set of new numerical methods (finite elements and finite volumes) recently developed in the academic world for the resolution of partial differential equations. The first results of these methods on industrial problems are promising.

  • Presentation of different methods
  • Numerical analysis and connection between them
  • Industrial presentations
  • Practical sessions

Scientifical context

It is necessary, currently and in the future, to have more and more realistic simulations in the industrial field. It is therefore essential to have accurate and robust numerical methods with respect to physical parameters (volumetric-locking for solid mechanics, irrotational forces and viscosity for fluid mechanics for example) and mesh quality. Moreover, as meshes are becoming more and more complex and consequent, it is useful to have methods that support very general meshes (polyhedral, non-conformal, …) in order to facilitate the adaptive mesh refinement and to make the mesh generation step simpler and less time consuming for the engineer.

Thus, many new low-order and high-order numerical methods have been developed in recent years that could meet these needs:

  • discontinuous Galerkin (dG)
  • hydridizable discontinuous Galerkin (HDG)
  • hybrid high-order (HHO)
  • virtual element method (VEM)
  • gradient schemes (GS)
  • compatible discrete operator (CDO)

All of these methods have a rigourous mathematical analysis. Many of them have been extented to non-linear problems (and even to industrial problems).

Practical information


June 26 – June 30, 2023


Azur building
Boulevard Gaspard Monge
91120 Palaiseau
How to come
EDF campus bus stop is closed for 91.06 line. Use Thomas Gaubert stop then walks.


Registration is closed


Summer schools secretary
Régis Vizet – CEA
tel: 01 69 26 47 45
Fax: 01 69 26 70 05

Coordinators of the numerical analysis 2023 school
Mickaël Abbas (EDF R&D)
Jérôme Bonelle (EDF R&D)
Alexandre Ern (ENPC, INRIA)
Nicolas Pignet (EDF R&D)

Registration fees including coffee break and lunch (pre-tax price)

Instructions for computer tutorials

How to do it


Monday, June 26 Tuesday, June 27 Wednesday, June 28 Thursday, June 29 Friday, June 30
Discontinuous Galerkin methods Gradient Scheme methods Virtual Element Method Discrete de Rham methods Industrial employment
9h00-9h30 Breakfast coffee Breakfast coffee Breakfast coffee Breakfast coffee Breakfast coffee
9h30-12h Lecture
Emmanuil Georgoulis (National Technical University of Athens & Heriot-Watt University) hp-Version Discontinuous Galerkin methods on arbitrarily-shaped elements
Robert Eymard (Université Gustave Eiffel) The gradient discretization method
Marco Verani (Politecnico di Milano) An introduction to VEM: from arbitrarily regular elements to linear elasticity problems
Daniele Di Pietro (Université de Montpellier)
Guillaume Enchery (IFPEN) Use of the virtual-element method in geosciences
Jérôme Bonelle (EDF R&D) Polyhedral methods in code_saturne
Antoine Gerschenfeld (CEA) Numerical schemes for multiphase flows on general meshes
11h45 Discussion, conclusions, and perspectives
12h-14h Lunch
Italian-style penne melange
Rump steak, gratin dauphinois, gravy
Chocolate tartlet
Avocado and prawn salad
Provençale Vegetarian Lasagne
Red fruit panna cotta
Melon and dry-cured ham
Fillet of sea bream, shellfish jus, pan-fried vegetables
Fresh exotic fruits
Caesar salad
Veal walnuts
Lemon tart
Scallop terrine, chive cream
Trout fillet, celery mousseline, sauce vierge
Ice cream
14h-15h30 Scientific seminars

Michele Botti (Politecnico di Milano) Discontinuous Galerkin methods for multiphysics simulation

Jérôme Bonelle (EDF R&D) Introduction to Compatble Discrete Operator methods (CDO)
Scientific seminars

Cindy Guichard (Sorbonne Université) The gradient discretization method: examples and applications

Nicolas Pignet (EDF R&D) Introduction to Hybrid High-Order methods (HHO)
Scientific seminars

Michele Visinoni (Universita di Milano) Some Virtual Element Methods for linear elasticity problems

Stefano Berrone (Politecnico di Torino) Polygonal mesh generation, adaptation and quality evaluation for VEM in highly complex geometries
Scientific seminars

Simon Lemaire (INRIA Lille) Hybrid High-Order methods for Electromagnetics

Pierre Jolivet (Sorbonne Université) HPPDM: efficient and adaptive domain decomposition preconditioners for sparse linear systems
15h30-16h00 Coffee break Coffee break Coffee break Coffee break
16h00-18h00 Computer tutorials on CDO Computer tutorials on HHO Computer tutorials on VEM Computer tutorials on HHO
19h00-21h00 School diner at Living Room
Royan ravioli
Fish from the fish market with ratatouille
Strawberry mille-feuilles