Abstract
The nonconforming Quasi-Wilson element is applied to analyze the superconvergence behavior of the fourth-order Rosenau equation by mixed finite element method (FEM). The Crank–Nicolson (CN) fully discrete scheme is developed, and the stability, existence and uniqueness of approximate solution are proved. Further, the superconvergence estimates of order O(h2+τ2) for the related variables in the broken H1-norm are derived. At last, the correctness of theoretical analysis is validated by numerical experiments. Here and later, h and τ are the mesh size and time step, respectively.
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