A finite element method for a biharmonic equation based on gradient recovery operators
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- Lamichhane, B.P. Bit Numer Math (2014) 54: 469. doi:10.1007/s10543-013-0462-0
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.