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| 广义神经传播方程的非协调有限元分析 | |
| 引用本文： | 陈金环,石东伟,石东洋.广义神经传播方程的非协调有限元分析[J].数学的实践与认识,2012,42(16):258-263. |
| 作者姓名： | 陈金环 石东伟 石东洋 |
| 作者单位： | 1. 郑州大学数学系,河南郑州,450001 2. 中原工学院理学院,河南郑州,453003 3. 河南科技学院数学系,河南新乡,453003 |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金，河南省基础与前沿技术研究计划项目 |
| 摘 要： | 讨论了带约束的旋转Q_1元对广义神经传播方程的应用.利用Bramble-Hilbert引理及插值技巧,在不需要传统的Ritz投影的和任何修正格式情况下导出了相应的最优误差估计和超逼近结果. |
| 关 键 词： | 广义神经传播方程 非协调元 最优误差估计 超逼近 |
Nonconforming Finite Element Analysis for the Generalized Nerve Conduction Type Equation |
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| CHEN Jin-huan , SHI Dong-wei , SHI Dong-yang.Nonconforming Finite Element Analysis for the Generalized Nerve Conduction Type Equation[J].Mathematics in Practice and Theory,2012,42(16):258-263. | |
| Authors: | CHEN Jin-huan SHI Dong-wei SHI Dong-yang |
| Institution: | 1 (1.Department of Mathmatics,Zhengzhou University,Zhengzhou 450001,China) (2.College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China) (3.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China) |
| Abstract: | In this paper,we apply the constrained rotation Q_1 element to approximate the generalized nerve conductive equation.Using Bramble-Hilbert lemma and the interpolation techniques,the conesponding optimal error estimation and superclose results are derived without the traditional Ritz projection and modifications. |
| Keywords: | generalized nerve conduction type equation nonconforming element optimal error estimates superclose |
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