一类非线性Klein-Gordon方程低阶混合有限元分析  

Analysis of a Low Order Mixed Finite Element Method for a Nonlinear Klein-Gordon Equations

作　　者：朱维钧 张爽爽 ZHU Weijun;ZHANG Shuangshuang(School of Mathematics and Statistics,Pingdingshan University,Pingdingshan,Henan 467036,China)

机构地区：[1]平顶山学院数学与统计学院,河南平顶山467036

出　　处：《平顶山学院学报》2023年第2期1-7,共7页Journal of Pingdingshan University

基　　金：平顶山学院培育基金(PXY-PYJJ-2019006)。

摘　　要：对一类带耗散项的Klein-Gordon方程,借助双线性元建立了一种满足BB条件的半离散和全离散混合元逼近格式,并导出原始变量u的H^(1)模及流量=-Δu在L^(2)模下的超收敛结果.For nonlinear Klein-Gordon equations with dissipative term,a low conforming mixed finite method in which the BB condition is easier to be satisfied for both semi-discrete and fully-discrete scheme is proposed with the bilinear element.The superconvergence results of exact solution u in H^(1) norm and flux in L^(2) norm were obtained.

关 键 词：KLEIN-GORDON方程 混合元方法 半离散和全离散格式 超收敛 

分 类 号：O241.82[理学—计算数学]