拟线性伪双曲型积分微分方程的非协调混合有限元分析  

Nonconforming Mixed Finite Element Analysis for Quasilinear Integro-differential Equations of Pseudo-hyperbolic Type

作　　者：李先枝[1] 张开广[1] 

机构地区：[1]郑州师范学院数学与统计学院,河南郑州450044

出　　处：《郑州大学学报（理学版）》2015年第3期21-29,共9页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10971203;11271340

摘　　要：利用Qrot1元与零阶R-T元对一类拟线性伪双曲型积分微分方程构造了一个新的非协调混合元格式,借助于对这两个单元的高精度分析、导数转移和平均值技巧,给出了在半离散和全离散格式下的原始变量和中间变量的超逼近结果.A new nonconforming mixed finite element formulation was constructed for the quasilinear integro-differential equations of pseudo-hyperbolic type based on Qrot1 element and zero order R-T element.With the help of known high accuracy analysis of the above two finite elements,derivative delivery and mean-value techniques,the corresponding superclose results of the original and intermediate variables were obtained for semi-discrete and fully-discrete schemes.

关 键 词：拟线性伪双曲型积分微分方程 Q1^rot元与零阶R—T元 半离散和全离散格式 超逼近 

分 类 号：O241.82[理学—计算数学]