[1]鞠 银,汪银乐,王美珍.凹角型区域上双曲型外问题的人工边界条件[J].南京师大学报(自然科学版),2010,33(03):7-13.
　Ju Yin,Wang Yinyue,Wang Meizhen.Exterior Hyperbolic Problems With Concave Angles[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(03):7-13.
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凹角型区域上双曲型外问题的人工边界条件()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年03期
页码:
7-13
栏目:
数学
出版日期:
2010-09-20

文章信息/Info

Title:
Exterior Hyperbolic Problems With Concave Angles
作者:
鞠 银1;  汪银乐2;  王美珍1
1. 上海电机学院数理教学部, 上海200240 2. 南京工业大学理学院, 江苏南京210009
Author(s):
Ju Yin1; Wang Yinyue2; Wang Meizhen1
1.Department of Mathematics and Physics,Shanghai Dianji University,Shanghai 200240,China 2. College of Sciences, Nan jing Un iversity ofTechnology, Nan jing 210009, China
关键词:
凹角区域;  双曲外问题;  人工边界条件;  数值解
Keywords:
concave dom ain;  exter io r hyperbo lic problem;  artific ial boundary cond ition( ABC );  nume rical so lu tion
分类号:
O241.82
摘要:
研究凹角型区域上双曲型外问题的人工边界条件.利用构造法获得了圆形人工边界上精确的和近似的人工边界条件.利用新得的人工边界条件,用有限差分方法求解相应问题的数值解.最后给出数值例子以示文中所得的人工边界条件的有效性.
Abstract:
In th is paper, the artificia l bounda ry condition for the exte rio r hyperbo lic prob lem sw ith concave ang les and its num erical m ethods are studied. A c ircular artific ial bounda ry # R is first in troduced, three kinds o f equ iva lent exact and approx im ate artific ia l boundary conditions are obta ined on c ircular boundary by a constructivem e thod. Secondly, w e propose new artificial boundary cond itions to reduce the g iven prob lem a computationa l problem in a bounded dom ain, w hich is equ iva lent to the or ig ina l prob lem, and the fin ite differencem ethod is used to so lved the reduced problem. F ina lly, som e num er ica l ex amp les are presented to demonstrate the per fo rm ance of artific ia l boundary conditions.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 上海电机学院青年教师科研基金( 08C101 ). 通讯联系人: 鞠 银, 硕士, 讲师, 研究方向: 微分方程的数值解. E-mail:juyinxue@tom. com
更新日期/Last Update: 2013-04-08