快速多极边界元法中的优化数值技术应用  

Application of the Optimized Numerical Technology in the Fast Fast Multipole Boundary Element Method

作　　者：张拥萍[1] 陈一鸣[1] 苏卫卫[1] 刘建平[2] 

机构地区：[1]燕山大学理学院 [2]河北科技师范学院,河北秦皇岛066004

出　　处：《温州大学学报（自然科学版）》2008年第1期20-25,共6页Journal of Wenzhou University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(E2007000381)

摘　　要：快速多极边界元法是近几年发展起来的边界元新型数值算法,利用多极边界元法解题的关键和难点是求解大规模稀疏矩阵方程组.引入最优化数值技术很好地解决了这一问题,并通过数值实验验证,该方法可节约求解时间,从而为求解大规模问题奠定了理论基础.Fast multipole boundary element method is the new numerical algorithm of boundary element method that develops in recent years. The key and difficulty of the multipole boundary element method is to find the solutions of the large-scale sparse matrix system of equations. This paper introduces the optimized numerical technology to solve the problem perfectly, tests the method through numerical experiments and finds out that this method can save time of finding solutions, which sets foundations for the solving of large-scale questions.

关 键 词：边界元法 TAYLOR级数 数值技术 多极展开 共轭方向法 

分 类 号：O224[理学—运筹学与控制论] O242.2[理学—数学]