@Article{EAJAM-9-797,
author = {Wang , FenlingZhao , YanminShi , ZhengguangShi , Yanhua and Tang , Yifa},
title = {High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {4},
pages = {797--817},
abstract = {<p style="text-align: justify;">High-order numerical analysis of a nonconforming finite element method on
regular and anisotropic meshes for two dimensional time fractional wave equation is presented. The stability of a fully-discrete approximate scheme based on quasi-Wilson FEM
in spatial direction and Crank-Nicolson approximation in temporal direction is proved
and spatial global superconvergence and temporal convergence order $\mathcal{O}$($h$<sup>2</sup> + τ<sup>3−$α$</sup>) in
the broken $H$<sup>1</sup>-norm is established. For regular and anisotropic meshes, numerical examples are consistent with theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.260718.060119},
url = {http://global-sci.org/intro/article_detail/eajam/13333.html}
}