凹角型区域上双曲型外问题的人工边界条件-《南京师大学报（自然科学版）》

文章信息/Info

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

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.