[1]臧国才,李东波.二阶椭圆型偏微分方程有限分析解法的稳定性研究[J].南京理工大学学报(自然科学版),1996,(02):87-90.
 Zang Guocai Li Donbo.Stability Study of FA Method for Second Order Elliptic Partical Differential Equations[J].Journal of Nanjing University of Science and Technology,1996,(02):87-90.
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二阶椭圆型偏微分方程有限分析解法的稳定性研究()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1996年02期
页码:
87-90
栏目:
出版日期:
1996-04-30

文章信息/Info

Title:
Stability Study of FA Method for Second Order Elliptic Partical Differential Equations
作者:
臧国才李东波1
南京理工大学动力工程学院, ¹ 南京理工大学制造工程系, 南京210094
Author(s):
Zang Guocai Li Donbo ①
School of Dynamic Engineering, NUST, Nanjing 210094)
关键词:
有限元法 稳定性 偏微分方程
Keywords:
finite element methods stability part ial dif ferential equat ions
分类号:
O175.13
摘要:
该文对二阶椭圆型偏微分方程在有限分析单元上,求离散分析解的方法进行了研究。有限分析方法的突出特点是在有限单元边界上构造满足节点函数值的近似边界函数,用分离变量的方法,求得满足近似边界函数条件的中心节点处的分析解。从理论上证明了节点函数值的微小变化以及边界函数值的选取对中心节点处解的影响是稳定的。
Abstract:
This paper studies the analyt ical solut ion method in discrete element s w ith finite analy tic ( FA) method fo r second order ellipt ic part ial dif ferent ial equat ions. The remarkable feature o f FA method is to derive an analyt ic so lut ion fo r the center node po int of the cell w ith an approx imate boundary funct io n which satisfies the bo undary node value of the cell. This paper proves theoretically that the FA solut io n in the center po int of the FA element is stable to the funct ional value o f the boundar y no de point and to the change of the boundary funct ion.

参考文献/References:

1 陈景仁. 湍流模型与有限分析解法. 上海: 上海交通大学出版社, 1989
2 Chen C J. Pr edict ion o f turblent flows. Iow a: Cr iepi, 1984

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备注/Memo

备注/Memo:
臧国才 男 56 岁 教授
更新日期/Last Update: 2013-04-11