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Stability Study of FA Method for Second Order Elliptic Partical Differential Equations(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1996年02期
Page:
87-90
Research Field:
Publishing date:

Info

Title:
Stability Study of FA Method for Second Order Elliptic Partical Differential Equations
Author(s):
Zang Guocai Li Donbo ①
School of Dynamic Engineering, NUST, Nanjing 210094)
Keywords:
finite element methods stability part ial dif ferential equat ions
PACS:
O175.13
DOI:
-
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.

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

Memo

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Last Update: 2013-04-11