A finite element method for a biharmonic equation based on gradient recovery operators |
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| Authors: | Bishnu P Lamichhane |
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| Institution: | 1. School of Mathematical and Physical Sciences, University of Newcastle, University Drive, Callaghan, NSW, 2308, Australia
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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. |
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