Minimal Finite Element Spaces for $2m-$th Order Partial Differential Equations in ${\mathbb{R}}^n$ (by Wang M., Xu J.)

In their 2006 paper, Wang and Xu develop a convergence theory for nonconforming finite element methods. Moreover, they explicitly construct consistent FE spaces of minimal polynomial degree for the discretization of the Sobolev spaces $H^m({\mathbb{R}}^n)$ for $n\ge m$ on simplicial meshes.

Their main results will be presented in this talk.