@Article{EAJAM-9-4,
author = {Wang, Fenling and Zhao, Yanmin and Zhengguang, Shi and Yanhua, Shi and Yifa, Tang},
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 = {https://global-sci.com/article/82632/high-accuracy-analysis-of-an-anisotropic-nonconforming-finite-element-method-for-two-dimensional-time-fractional-wave-equation}
}