A finite element method for a biharmonic equation based on gradient recovery operators
A new non-conforming finite element method is proposed for the approximation of the biharmonic equation with clamped boundary condition. The new formulation is based on a gradient recovery operator. Optimal a priori error estimates are proved for the proposed approach. The approach is also extended to cover a singularly perturbed problem.
biharmonic equation clamped boundary conditions strangs lemma nonconforming method a priori estimate biorthogonal system 65d15 65l60 41a15