Abstract
In this paper, we prove a novel result of the consistency error estimate with order O(h2) for EQ1rot element (see Lemma 2) on anisotropic meshes. Then, a linearized fully discrete Galerkin finite element method (FEM) is studied for the time-fractional nonlinear parabolic problems, and the superclose and superconvergent estimates of order O(τ+h2) in broken H1-norm on anisotropic meshes are derived by using the proved character of EQ1rot element, which improve the results in the existing literature. Numerical results are provided to confirm the theoretical analysis.
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