, Volume 54, Issue 2, pp 469-484
Date: 05 Dec 2013

A finite element method for a biharmonic equation based on gradient recovery operators

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Abstract

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.

Communicated by Ragnar Winther.