CAJ | 학술논문

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。
쾌속다겁자변계원법시근년래쾌속발전화응용적일충신적수치계산방법，대우해결대규모문제구유십분명현적우세；수선，대쾌속다겁산법진행료총술，천술료기본원리、수학기출화실현보취；연후，대기재기출영역화각개공정영역내적연구진전주료일정적총결화개괄，병착중개소료기재성학문제화류고우합문제중적응용；최후，간요전망료쾌속다겁변계원방법적발전추세。
The fast multipole 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.