The Estimate Of Crouzeix-Raviart Type Element On The Anisotropic Meshes

Crouzeix-Raviart type element,as a kind of non-conforming finite element,is widely used on the triangular or tetrahedral meshes.In the condition of regular subdivision, a large amount of work has been done.In the anisotropic meshes,some results on the special meshes have obtained,but these conditions on meshes are very restrictive. In order to solve this problem,we bring the Raviart-Thomas interpolation in the consistency er-ror and obtain an optimal error estimates,which provide a new way of estimate under anisotropic meshes.