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Exterior Hyperbolic Problems With Concave Angles(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年03期
Page:
7-13
Research Field:
数学
Publishing date:

Info

Title:
Exterior Hyperbolic Problems With Concave Angles
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
Keywords:
concave dom ain;  exter io r hyperbo lic problem;  artific ial boundary cond ition( ABC );  nume rical so lu tion
PACS:
O241.82
DOI:
-
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.

References:

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Last Update: 2013-04-08