Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations  

作　　者：Ming Cui Yanfei Li Changhui Yao 

机构地区：[1]Faculty of Science,Beijing University of Technology,Beijing 1000124,China [2]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou,Henan 450001,China

出　　处：《Advances in Applied Mathematics and Mechanics》2023年第3期602-622,共21页应用数学与力学进展（英文）

基　　金：The work is supported by the National Natural Science Foundation of China(No.11871441);Beijing Natural Science Foundation(No.1192003).

摘　　要：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 resultO(h^(2)+Dt^(2))by using the error splitting technique and postprocessing interpolation.Numerical experiments are carried out to support our theoretical results.

关 键 词：Energy conserving the nonlinear coupled Klein-Gordon equations unconditional superconvergence result postprocessing interpolation finite element method 

分 类 号：O241.82[理学—计算数学]