Inf-sup stable non-conforming finite elements of arbitrary order on triangles

摘要

We introduce a family of scalar non-conforming finite elements of arbitrary order k≥1 with respect to the H 1-norm on triangles. Their vector-valued version 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.