[1]汪朝晖,汪炜.用边界元法求解分片介质中的Helmholtz方程[J].南京理工大学学报(自然科学版),2002,(03):321-324.
 WangZhaohui WangWei.Boundary Element Method for Solving the Helmholtz Equation with Piecewise Medium[J].Journal of Nanjing University of Science and Technology,2002,(03):321-324.
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用边界元法求解分片介质中的Helmholtz方程()
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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:
2002年03期
页码:
321-324
栏目:
出版日期:
2002-06-30

文章信息/Info

Title:
Boundary Element Method for Solving the Helmholtz Equation with Piecewise Medium
作者:
汪朝晖汪炜
长沙航空职业技术学院经济贸易系, 长沙410124
 南京理工大学机械工程学院, 南京210094
Author(s):
WangZhaohui WangWei
Department of Economic Trade, Changsha Aeronaotional Vocational and Technical College, Changsha 410124)
关键词:
Helmholtz 方程 有限元 边界元
Keywords:
helmholt z equat ion finite element boundary element
分类号:
O241.82
摘要:
该文研究了求解分片介质中的Helmholtz方程的边界元法。边界元求解的思路是将分片介质子区域的公共边界当作子区域的外部边界处理 ,在每个子区域采用边界元法 ,再在公共边界上加衔接条件。该文通过大量数值实验 ,并对比边界元法、有限元法、广义差分法求解效果 ,得出边界元法能很好地克服Helmholtz方程解的震荡性 ,采用边界元法求解Helmholtz方程具有稳定性好 ,精度高的优点。
Abstract:
How to resolve the Helmholtz equat ion of piecew ise medium is studied by using the boundary element method. T he main idea of resolving the boundary element method is that it regards the common boundary of the piecew ise medium sub-area as the ex terior boundary. In every sub-area, it uses the boundary element method, and adds some common connect ive condi- t ions on the common boundary. Based on a g reat deal of numerical experiments, the ef fects of resolving the boundary element method, the finite element method and the g eneralized dif fer- ence method are cont rasted. It is concluded that the boundary element method can overcome the oscillat ion of the solut ion of the Helmholtz equation perfectly and has bet ter stability and hig her accuracy .

参考文献/References:

1   祝家麟. 椭圆边值问题的边界元分析. 北京: 科学出版社, 1991
2  奚定平. 贝塞尔函数.北京: 高等教育出版社, 1998. 217~ 220
3   李荣华.解边值问题的迦辽金方法. 上海: 上海科学技术出版社, 1988. 50~ 70

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备注/Memo

备注/Memo:
汪朝晖 女  29 岁  助教
更新日期/Last Update: 2002-06-30