Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 77, Issue 10, Pages 2707-2724Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2019.01.001
Keywords
Time-fractional nonlinear parabolic equations; Nonconforming FEM; L1 method; Superconvergence; Anisotropic meshes
Categories
Ask authors/readers for more resources
In this paper, we prove a novel result of the consistency error estimate with order O(h(2)) for EQ(1)(rot) 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(tau + h(2)) in broken H-1-norm on anisotropic meshes are derived by using the proved character of EQ(1)(rot) element, which improve the results in the existing literature. Numerical results are provided to confirm the theoretical analysis. Published by Elsevier Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available