Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900616 | Applied Mathematics and Computation | 2018 | 15 Pages |
Abstract
The paper mainly focuses on studying nonconforming quasi-Wilson finite element fully-discrete approximation for two dimensional (2D) multi-term time fractional diffusion-wave equation (TFDWE) on regular and anisotropic meshes. Firstly, based on the Crank-Nicolson scheme in conjunction with L1-approximation of the time Caputo derivative of order αâ¯ââ¯(1, 2), a fully-discrete scheme for 2D multi-term TFDWE is established. And then, the approximation scheme is rigorously proved to be unconditionally stable via processing fractional derivative skillfully. Moreover, the superclose result in broken H1-norm is deduced by utilizing special properties of quasi-Wilson element. In the meantime, the global superconvergence in broken H1-norm is derived by means of interpolation postprocessing technique. Finally, some numerical results illustrate the correctness of theoretical analysis on both regular and anisotropic meshes.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Z.G. Shi, Y.M. Zhao, F. Liu, F.L. Wang, Y.F. Tang,