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 - <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>