收藏本站
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

Improved non-singular local boundary integral equation method

付东杰  陈海波  张培强  
【摘要】: <正>When the source nodes are on the global boundary in the implementation of local boundary integral equation method (LBIEM),singularities in the local boundary integrals need to be treated specially. In the current paper,local integral equations are adopted for the nodes inside the domain trod moving least square approximation (MLSA) for the nodes on the global boundary,thus singularities will not occur in the new al- gorithm.At the same time,approximation errors of boundary integrals are reduced significantly.As applications and numerical tests,Laplace equation and Helmholtz equa- tion problems are considered and excellent numerical results are obtained.Furthermore, when solving the Hehnholtz problems,the modified basis functions with wave solutions are adapted to replace the usually-used monomial basis functions.Numerical results show that this treatment is simple and effective and its application is promising in solutions for the wave propagation problem with high wave number.

知网文化
【相似文献】
中国硕士学位论文全文数据库 前2条
1 洪海波;E(n)-Azumaya代数结构研究[D];扬州大学;2006年
2 杨海波;外资运动品牌商在营销渠道中的权力策略分析[D];复旦大学;2008年
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978