The Polynomial-preserving Recovery for Higher Order Finite Element Methods in 2d and 3d
نویسندگان
چکیده
The Polynomial-Preserving Recovery (PPR) technique is extended to recover continuous gradients from C0 finite element solutions of an arbitrary order in 2D and 3D problems. The stability of the PPR is theoretically investigated in a general framework. In 2D, the stability is established under a simple geometric condition. The numerical experiments demonstrated that the PPR-recovered gradient enjoys superconvergence, and the Zienkiewicz-Zhu error estimator based on the PPR-recovered gradient is asymptotically exact.
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