@Article{AAMM-15-3,
author = {Ming, Cui and Yanfei, Li and Yao, Changhui},
title = {Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {3},
pages = {602--622},
abstract = {<p style="text-align: justify;">In this paper, we consider the energy conserving numerical scheme for coupled nonlinear Klein-Gordon equations. We propose energy conserving finite element
method and get the unconditional superconvergence result $\mathcal{O}(h^2+∆t^2
)$ by using the error splitting technique and postprocessing interpolation. Numerical experiments are
carried out to support our theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0261},
url = {https://global-sci.com/article/72847/unconditional-superconvergence-analysis-of-energy-conserving-finite-element-methods-for-the-nonlinear-coupled-klein-gordon-equations}
}