| 广义神经传播方程的一种修正混合有限元方法的误差分析 |
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| 引用本文： | 曹京平,刘洋,何斯日古楞,李宏. 广义神经传播方程的一种修正混合有限元方法的误差分析[J]. 数学的实践与认识, 2011, 41(24) |
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| 作者姓名： | 曹京平 刘洋 何斯日古楞 李宏 |
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| 作者单位： | 1. 内蒙古财经学院统计与数学学院,内蒙古 呼和浩特,010070
2. 内蒙古大学数学科学学院,内蒙古 呼和浩特,010021 |
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| 基金项目： | 内蒙古自治区高等学校科学研究项目(NJZY11105) |
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| 摘 要： | 利用修正的H~1-Galerkin混合有限元方法研究了广义神经传播方程,论证了其半离散解的存在唯一性,得到了半离散解的最优阶误差估计,该方法的优点是不需验证LBB相容性条件.
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| 关 键 词： | 广义神经传播方程 修正H~1-Galerkin混合有限元方法 最优阶误差估计 |
A Modified Mixed Finite Element Method for Generalized Nerve Conduction Equation |
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| CAO jing-ping , LIU Yang , HE Siriguleng , LI Hong. A Modified Mixed Finite Element Method for Generalized Nerve Conduction Equation[J]. Mathematics in Practice and Theory, 2011, 41(24) |
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| Authors: | CAO jing-ping LIU Yang HE Siriguleng LI Hong |
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| Affiliation: | CAO jing-ping~1,LIU Yang~2,HE Siriguleng~2,LI Hong~2 (1.School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010070,China) (2.School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China) |
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| Abstract: | Generalized nerve conduction equation is studied by the modifiediH~1-Galerkin mixed finite element method.The existence and uniqueness and optimal order error estimates are obtained for semidiscrete solutions.The main feature of this method is that does not satisfy the LBB consistency conditions. |
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| Keywords: | generalized nerve conduction equation modified H~1-Galerkin mixed finite element methods optimal order error estimate |
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