快速多极子边界元方法研究进展  

Developments of Studies on Fast Multipole Boundary Element Method

作　　者：郑晗[1] 周其斗[1] 叶金铭[1] 

机构地区：[1]海军工程大学舰船工程系,武汉430033

出　　处：《四川兵工学报》2014年第2期137-146,共10页Journal of Sichuan Ordnance

基　　金：国家自然科学基金(51009145)

摘　　要：快速多极子边界元法是近年来快速发展和应用的一种新的数值计算方法,对于解决大规模问题具有十分明显的优势;首先,对快速多极算法进行了总述,阐述了基本原理、数学基础和实现步骤;然后,对其在基础领域和各个工程领域内的研究进展做了一定的总结和概括,并着重介绍了其在声学问题和流固耦合问题中的应用;最后,简要展望了快速多极边界元方法的发展趋势。The fast muhipole boundary element method is a new numerical method that has been developed and applied rapidly in recent years. It has an obvious advantage towards large - scale problem. This article firstly gave a comprehensive description of FMBEM, including basic theory, mathematical formulas and im- plementation steps. Then a review of applications in basic and engineering areas was presented. The appli- cation of FMBEM to solving the acoustic problem and fluid - structure interaction problem was emphasized here. Finally, some future studying directions in FMBEM were pointed out.

关 键 词：快速多极边界元 声学问题 流固耦合 

分 类 号：TB115[理学—数学]