Prof. Sander gives a talk about
"Geometric finite elements for nonlinear director rod and shell problems"
About the talk:
Nonlinear rod and shell models with directors are notoriously difficult to treat numerically. One central problem is the fact that the director degrees of freedom do not live in linear spaces. Therefore, standard finite element techniques cannot be applied directly. In this talk we generalize the definition of finite elements to allow functions with values in general nonlinear spaces.
The resulting Geometric Finite Elements are H1-conforming, and exist for any approximation order. When applied to rod or shell models, they are locking-free, and preserve frame invariance. In numerical experiments they exhibit optimal error behavior.
About Prof. Sander: Homepage of Prof. Sander