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二阶椭圆型常微分方程组边值问题的有限元算法(Ⅱ)
The Finite Element Method for Two-order Elliptic Ordinary Differential Equations with Two Point Boundary Value Problems(Ⅱ)
【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.
【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.
【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;
【Key words】 finite element method; ordinary differential equations; boundary value problem; weak solution; convergence;
【Key words】 finite element method; ordinary differential equations; boundary value problem; weak solution; convergence;
【基金】 河南省科委自然科学基金
- 【文献出处】 河南师范大学学报(自然科学版) ,JOURNAL OF HENAN NORMAL UNIVERSITY , 编辑部邮箱 ,1996年03期
- 【分类号】O241.81
- 【下载频次】85