摘要
讨论一类伪双曲型积分-微分方程的有限元逼近,借助于双线性元的高精度分析和导数转移技巧,给出了在半离散和全离散格式下的超逼近和超收敛结果.
A finite element approximation for the integro-differential equations of pseudohyperbolic type is discussed in this paper.With the help of high accuracy analysis of the bilinear elements and derivative delivery techniques,the corresponding super-close and super-convergence results are obtained of the semi-discrete and fully-discrete approximate scheme.
作者
李先枝
闵鹏瑾
LI Xianzhi;MIN Pengjin(School of Mathematics and Statistics, Zhengzhou Normal University, 450044, Zhengzhou, China;Col. of Mathematics, Jilin University, 130012, Changchun, China)
出处
《北方工业大学学报》
2018年第2期135-139,共5页
Journal of North China University of Technology
基金
国家自然科学基金(10971203
11271340)
关键词
伪双曲型积分-微分方程
双线性元
半离散格式
全离散格式
超逼近
超收敛
pseudo-hyperbolic integro-differential equations
bilinear element
semi-discrete schemes
fully-discrete schemes
super-closeness
super-convergence
