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


Boulevard Gaspard Monge
91120 Palaiseau


If you wish to join, please fill the registration form Word icon and send it before June, 2, 2023 to Régis Vizet.


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)

CEA, EDF, industry: 1200 euros
Academia / university & public research: 600 euros
Ph.D. students (a limited number): 300 euros


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)
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 Lunch Lunch Lunch Lunch
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) Title to come

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) Title to come
Scientific seminars

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

Pierre Jolivet (Sorbonne Université) Title to come
15h30-16h00 Coffee break Coffee break Coffee break Coffee break
16h00h-18h00 Computer tutorials on CDO Computer tutorials on HHO Computer tutorials on VEM Computer tutorials on HHO