Zurück zu den Preprints des Jahres 2004


2004-12

Inf-sup stable non-conforming finite e

by Matthies, G., Tobiska, L..


Series: 2004-12, Preprints

MSC:
65N12 Stability and convergence of numerical methods
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods

Abstract:
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.

Keywords:
non-conforming fini