混合边界下开弧外区域声波散射问题的数值解法  

The numerical solution of mixed borders acoustic scattering problems on open arc area

作　　者：李妮[1] 王连堂[1] 

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2015年第2期164-170,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(11401144)

摘　　要：关于时间调和声波在一个无限长圆柱形导体上的散射,可以转化为R2中一段光滑开弧上的散射问题.利用单双层位势来逼近散射波,通过单双层位势在开弧两侧的跳跃关系建立了混合边界的积分方程组,然后对此方程组进行参数化和离散化,最终得到离散化后的积分方程组.此边界积分方程组的解是存在唯一的.The acoustic scattering on an infinitely long cylindrical conductor can be converted to mixed boundry value problem of Helmholtz functions for some smooth Open the arc. In this paper, using a single double-potential to approximate scattering waves and according to potential theory and jump relations we establish the mixed boundary integral equations. Then this system of equations is discreted and parametered. The existence and uniqueness of solution to the boundary integral equations can be proved.

关 键 词：开弧 混合边界 积分方程组 

分 类 号：O175.23[理学—数学]