by Matthies, G., Tobiska, L..
Series: 2004-12, Preprints
We introduce a family of scalar non-conforming finite elements of arbitrary
order $k\ge 1$ with respect to the $H^1$-norm on triangles. Their
vector-valued versions generates together
with a discontinuous pressure approximation of order $k-1$ an inf-sup stable
finite element pair of order $k$ for the Stokes problem in the energy norm.
For $k=1$ the well-known Crouzeix-Raviart element is recovered.