%0 Journal Article
%T 广义神经传播方程最低阶新混合元格式的高精度分析<br>High accuracy analysis of the lowest order new mixed finite element scheme for generalized nerve conductive equations
%A 樊明智
%A 王芬玲
%A 石东洋&lt
%A br&gt
%A FAN Ming-zhi
%A WANG Fen-ling
%A SHI Dong-yang
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2014.410
%X 摘要： 利用双线性元和Nédéle?s元,对广义神经传播方程建立了最低阶自然满足Brezzi-Babu？ka条件的新混合元逼近格式.基于该混合元的高精度分析和插值后处理算子技术,在半离散格式下分别导出了原始变量的H1模及中间变量的L2模的超逼近性质和整体超收敛结果.当f(u)=f(X)时建立了一个具有二阶精度的全离散逼近格式,分别得到了原始变量的H1模的超逼近性和中间变量的L2模的最优误差估计.<br>Abstract: A lowest order new mixed element approximate scheme with the bilinear element and Nédélec?s element for the generalized nerve conductive equations is proposed, which can satisfy Brezzi-Babu？ka condition automatically. Based on high accuracy analysis of the mixed element and interpolation post-processing technique, the superclose properties and superconvergence results of original variable in H1-norm and intermediate variable in L2-norm are deduced separately for semi-discrete scheme. At the same time, a second order fully-discrete scheme when is f(u) equal to f(X) is established and the superclose properties and the optimal order error estimates of original variable in H1-norm and intermediate variable in L2-norm are separately derived
%K 半离散和全离散格式
%K 超逼近性和超收敛结果
%K 广义神经传播方程
%K 新混合元
%K &lt
%K br&gt
%K superclose properties and superconvergence results
%K new mixed element
%K the generalized nerve conductive equations
%K semi-discrete and fully-discrete schemes
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.410