Abstract
In this paper, superconvergent analysis for nonlinear parabolic integro‐differential equation is studied with nonconforming element. A linearized Galerkin finite element method is introduced, and a time‐discrete system is constructed to split the error into two parts. On the one hand, a rigorous analysis for the regularity of the time‐discrete system is presented based on the temporal error estimation skillfully. On the other hand, the spatial error is deduced τ‐independently with the above achievements. With the help of typical characters of this element, the superclose result of order in the broken H1‐norm is derived without any restriction of τ. At last, numerical results are provided to confirm the theoretical analysis. Here, h is the subdivision parameter, and τ is the time step.
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