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.
作者
朱维钧
张爽爽
ZHU Weijun;ZHANG Shuangshuang(School of Mathematics and Statistics,Pingdingshan University,Pingdingshan,Henan 467036,China)
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)。