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.
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:
All of these methods have a rigourous mathematical analysis. Many of them have been extented to non-linear problems (and even to industrial problems).
More info/register:
https://ecoles-cea-edf-inria.fr/en/schools/ecole-analyse-numerique-2023/