电报方程一个非协调混合元方法  

A NONCONFORMING MIXED FINITE ELEMENT METHOD FOR TELEGRAPH EQUATIONS

作　　者：马戈 童姗姗 MA Ge;TONG Shan-shan(School of Mathematics and Statistics,Nanyang Institute of Technology,Nanyang 473004,Chin)

机构地区：[1]南阳理工学院数学与统计学院,河南南阳473004

出　　处：《南阳理工学院学报》2018年第2期110-113,共4页Journal of Nanyang Institute of Technology

摘　　要：针对电报方程建立了一个自然满足B-B条件的非协调低阶混合元逼近方法,借助单元插值算子的特殊性质,导数转移技巧和插值后处理技术,在半离散格式下给出了原始变量H1-模和中间边量L2-模的超逼近与整体超收敛结果。A new lower order nonconforming mixed finite elements method is proposed for telegraph equations,which can satisfy BrezziBabuka condition automatically. With help of the special characters of the interpolation operators of the elements,derivative transferring technique with respect to the time variable and interpolation post-processing technique,the superclose properties for the primitive solution in H^1-norm and the intermediate variable in L^2-norm are deduced separately for semi-discrete scheme.

关 键 词：电报方程 非协调 混合有限元 超逼近和超收敛 

分 类 号：O242.21[理学—计算数学]