摘要
首先将一个各向异性线性三角形元应用到广义神经传播方程,建立了一个新混合元格式,利用单元上插值、平均值和导数转嫁技巧,在不需要引入传统广义椭圆投影的前提下,给出了相关未知量的L2-模误差估计;其次,将其推广到任意阶格式的情形.
In this paper,a linear anisotropic triangular element is firstly applied to the generalized nerve conduction type equation so as to propose a new mixed element formulation.By use of the interpolation on the element,and the mean-value and derivative delivery techniques instead of the conventional generalized Ritz projection,the error estimates has been got in L2-norm of the corresponding variables.Secondly,the results to arbitrary order formulations are extended.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第5期1-5,共5页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(1067118410971203)
教育部高等学校博士学科点专项科研基金(20094101110006)
关键词
广义神经传播方程
各向异性
新混合元格式
L2-模误差估计
generalized nerve conduction type equation
anisotropy
new mixed element formulation
L2-norm error estimates
