非线性Klein-Gordon方程的变网格有限元方法  

NONCONFORMING FINITE ELEMENT METHOD FOR THE NONLINEAR KLEIN-GORDON EQUATION WITH MOVING GRIDS

作　　者：张斐然 朱岩 ZHANG Fei-ran;ZHU Yan(School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu 476000,China)

机构地区：[1]商丘师范学院数学与统计学院,河南商丘476000

出　　处：《数学杂志》2020年第4期421-430,共10页Journal of Mathematics

基　　金：Supported by Educational Commission of Henan Province (19A110031)

摘　　要：本文研究了非线性Klein-Gordon方程问题,利用Crank-Nicolson变网格非协调有限元方法,不需要传统的Riesz投影算子,利用插值技巧和单元的特殊性质,得到了相应的收敛性分析和最优误差估计.In this paper, the nonlinear Klein-Gordon equation is studied. By using the Crank-Nicolson moving grid nonconforming finite element method, the traditional Riesz projection operator is not needed, interpolation techniques and special properties of the element are used to obtain the corresponding convergence analysis and optimal error estimation.

关 键 词：KLEIN-GORDON方程 各向异性 变网格 非协调 CRANK-NICOLSON格式 

分 类 号：O241.21[理学—计算数学]