@Article{NMTMA-15-3,
author = {Yuling, Guo and Jianguo, Huang},
title = {A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2022},
volume = {15},
number = {3},
pages = {662--678},
abstract = {<p style="text-align: justify;">This paper develops a posteriori error bound for a space-time finite element method for the linear wave equation. The standard $P_l$ conforming element is
used for the spatial discretization and a $P_2$-CDG method is applied for the time discretization. The essential ingredients in the a posteriori error analysis are the twice
time reconstruction functions and the $C^1(J)$-smooth elliptic reconstruction, which
lead to reliable a posteriori error bound in view of the energy method. As an outcome, a time adaptive algorithm is proposed with the error equidistribution strategy.
Numerical experiments are reported to illustrate the performance of the a posteriori
error bound and the validity of the adaptive algorithm.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2022-0012},
url = {https://global-sci.com/article/90267/a-posteriori-error-analysis-of-a-p-2-cdg-space-time-finite-element-method-for-the-wave-equation}
}