Finite Element Systems for Vector Bundles: Elasticity and Curvature

We develop a theory of finite element systems, for the purpose of discretizing sections of vector bundles, in particular those arising in the theory of elasticity. In the presence of curvature, we prove a discrete Bianchi identity. In the flat case, we prove a de Rham theorem on cohomology groups. W...

Ausführliche Beschreibung