| 广义神经传播方程一个新的H~1-Galerkin非协调混合有限元格式 |
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| 引用本文： | 石东洋,周家全.广义神经传播方程一个新的H~1-Galerkin非协调混合有限元格式[J].河南师范大学学报(自然科学版),2010,38(5). |
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| 作者姓名： | 石东洋 周家全 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450052
2. 洛阳理工学院数理部,河南,洛阳,471023 |
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| 基金项目： | 国家自然科学基金，河南省教育厅自然科学研究计划项目，洛阳理工学院自然科学研究项目 |
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| 摘 要： | 对广义神经传播方程提出了一个新的H1-Galerkin非协调混合有限元格式.其逼近空间不需满足LBB相容条件,并且在不采用Ritz投影的情况下,通过利用插值函数得到了与以往协调有限元方法相同的H1-模和L2-模的误差估计.
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| 关 键 词： | 广义神经传播方程 H1-Galerkin混合元 LBB条件 非协调元 误差估计 |
A New H1-Galerkin Nonconforming Mixed Finite Element Scheme of Generalized Nerve Conduction Equations |
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| SHI Dong-yang,ZHOU Jia-quan.A New H1-Galerkin Nonconforming Mixed Finite Element Scheme of Generalized Nerve Conduction Equations[J].Journal of Henan Normal University(Natural Science),2010,38(5). |
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| Authors: | SHI Dong-yang ZHOU Jia-quan |
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| Institution: | SHI Dong-yang1,ZHOU Jia-quan2(1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China,2.Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471023,China) |
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| Abstract: | A new H1-Galerkin nonconforming mixed finite element scheme of generalized nerve conduction equations is proposed.The approximating spaces needn't satisfy LBB consistency condition.Moreover,without employing Ritz projection, the error estimates of H1-norm and L2-norm,which are the same as those of the conforming finite element methods in previously studies,are obtained by the interpolation functions. |
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| Keywords: | generalized nerve conduction equations H1-Galerkin mixed finite element LBB condition nonconforming finite element error estimates |
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