@Article{AAMM-15-602,
author = {Cui , MingLi , Yanfei 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 = {
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.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0261},
url = {http://global-sci.org/intro/article_detail/aamm/21443.html}
}
TY - JOUR
T1 - Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations
AU - Cui , Ming
AU - Li , Yanfei
AU - Yao , Changhui
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 602
EP - 622
PY - 2023
DA - 2023/02
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0261
UR - https://global-sci.org/intro/article_detail/aamm/21443.html
KW - Energy conserving, the nonlinear coupled Klein-Gordon equations, unconditional superconvergence result, postprocessing interpolation, finite element method.
AB -
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.
Cui , MingLi , Yanfei and Yao , Changhui. (2023). Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations.
Advances in Applied Mathematics and Mechanics. 15 (3).
602-622.
doi:10.4208/aamm.OA-2021-0261
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