| 二阶椭圆型常微分方程组边值问题的有限元算法（Ⅱ） |
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| 引用本文： | 王同科.二阶椭圆型常微分方程组边值问题的有限元算法（Ⅱ）[J].河南师范大学学报(自然科学版),1996(3). |
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| 作者姓名： | 王同科 |
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| 作者单位： | 河南师范大学数学系 |
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| 基金项目： | 河南省科委自然科学基金 |
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| 摘 要： | 在［１］的基础上，进一步给出了二阶椭圆型常微分方程组有限元算法的理论结果，证明了变分问题解的存在唯一性及线性有限元近似解Ｕｈ按能量模一阶收敛到精确解Ｕ．
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| 关 键 词： | 有限元算法 二阶常微分方程组 边值问题 广义解 收敛性 |
The Finite Element Method for Two-order Elliptic Ordinary Differential Equations with Two Point Boundary Value Problems(Ⅱ) |
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| Wang Tongke.The Finite Element Method for Two-order Elliptic Ordinary Differential Equations with Two Point Boundary Value Problems(Ⅱ)[J].Journal of Henan Normal University(Natural Science),1996(3). |
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| Authors: | Wang Tongke |
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| Abstract: | This paper gives the theoretical results of the finite element method for two-order eliptic ordinary differential equations with two-point boundary value problems. It has been proved that the Galerkin variation problem has only one weak solutions and the linear finite element approximate solutions converge the accurate solutions on energy norm in one order. |
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| Keywords: | finite element method ordinary differential equations boundary value problem weak solution convergence |
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