| 广义神经传播方程新的混合三角形元格式 |
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| 引用本文： | 石东洋,陈金环,林红玲.广义神经传播方程新的混合三角形元格式[J].河南师范大学学报(自然科学版),2011,39(5):1-5. |
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| 作者姓名： | 石东洋 陈金环 林红玲 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450001
2. 郑州大学数学系,郑州 450001;中原工学院理学院,郑州 450007 |
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| 基金项目： | 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) |
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| 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.
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| 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 |
New Mixed Triangular Element Formulations for the Generalized Nerve Conduction Type Equation |
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| SHI Dong-yang,CHEN Jin-huan,LIN Hong-ling.New Mixed Triangular Element Formulations for the Generalized Nerve Conduction Type Equation[J].Journal of Henan Normal University(Natural Science),2011,39(5):1-5. |
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| Authors: | SHI Dong-yang CHEN Jin-huan LIN Hong-ling |
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| Institution: | SHI Dong-yang1,CHEN Jin-huan1,2,LIN Hong-ling1(1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China,2.College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China) |
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| Abstract: | 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. |
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| Keywords: | generalized nerve conduction type equation anisotropy new mixed element formulation L2-norm error estimates |
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