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

Contents

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

Date

June 26 – June 30, 2023

Place

EDF Lab
Paris-Saclay
Boulevard Gaspard Monge
91120 Palaiseau

Registration

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

Contacts

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

Program

Monday, June 26 Tuesday, June 27 Wednesday, June 28 Thursday, June 29 Friday, June 30
Gradient Scheme methods Discontinuous Galerkin methods Virtual Element Method Discrete de Rham methods Industrial employment
9h00-9h30 Breakfast coffee Breakfast coffee 9h00-9h30 Breakfast coffee Breakfast coffee Breakfast coffee
9h30-12h Lectures Lectures 9h30-12h Lectures Lectures Examples
9h30 XXX (XXX) xxx
10h15 Jérôme Bonelle (EDF R&D): Polyhedral methods in code_saturne
11h XXX (XXX) xxx
11h45 Discussion, conclusions, and perspectives
12h-14h Lunch Lunch Lunch Lunch Lunch
14h-15h Jérôme Bonelle (EDF R&D): Introduction to Compatble Discrete Operator methods (CDO) Nicolas Pignet (EDF R&D): Introduction to Hybrid High-Order methods (HHO) 14h-16h Computer tutorials on VEM Computer tutorials on HHO
15h-17h Computer tutorials on CDO Computer tutorials on HHO
17h-17h30 Coffee break Coffee break 16h-16h30 Coffee break Coffee break
17h30-18h15 Scientific seminars Scientific seminars 16h30-18h00 Scientific seminars Scientific seminars
17h30 Pres1 Pres2 16h30 Pres3 Pres5
17h15 Pres4 Pres6