Speaker: Snorre Christiansen (UiO)
Title: Finite element systems for elasticity
Abstract: The framework of finite element systems was initially introduced to account for the success of some mixed finite elements and extend the techniques to polyhedral meshes and non-polynomial basis functions. In this presentation we will show how the framework can be generalized, so that it can treat elasticity problems. In particular connections with flat vectorbundles, sheaf theory, and cochain complexes with values in rigid motions will play a role. In this framework we can define new finite element complexes for prescribed curvature problems.
(I will expand on remarks made in Trondheim, for the Norwegian meeting on PDEs)
This is joint work with Kaibo Hu.