  In this study, we investigate an anisotropic weakly over-penalised symmetric
interior penalty method for the Stokes equation {on convex domains}. Our
approach is a simple discontinuous Galerkin method similar to the
Crouzeix--Raviart finite element method. As our primary contribution, we show a
new proof for the consistency term, which allows us to obtain an estimate of
the anisotropic consistency error. The key idea of the proof is to apply the
relation between the Raviart--Thomas finite element space and a discontinuous
space. While inf-sup stable schemes of the discontinuous Galerkin method on
shape-regular mesh partitions have been widely discussed, our results show that
the Stokes element satisfies the inf-sup condition on anisotropic meshes.
Furthermore, we provide an error estimate in an energy norm on anisotropic
meshes. In numerical experiments, we compare calculation results for standard
and anisotropic mesh partitions.
