求解洞穴散射问题的带有吸收边界层的有限元方法(英文)  

Finite Element Method with Perfectly Matched Absorbing Layers for Wave Scattering from a Cavity

作　　者：张德悦[1] 马富明[1] 方明[1] 

机构地区：[1]吉林大学数学科学学院,吉林长春130012

出　　处：《计算物理》2008年第3期301-308,共8页Chinese Journal of Computational Physics

基　　金：supported by NSFC(10431030,10726050)

摘　　要：给出二维洞穴散射问题的带有吸收边界层的有限元方法.通过吸收边界层将无界域问题截断,得到一个有界域问题,求解此有界域问题来代替原问题.进一步分析收敛性并进行数值模拟.结果表明了此方法的有效性.A finite element method with perfectly matched layers（PML） is developed for wave scattering from a two-dimensional cavity embedded in an infinite ground plane. Based on a variational formulation it uses the PML technique to truncate an unbounded computational domain to a bounded one. Hence, a PML problem instead of the original scattering problem is solved. Convergence of the PML problem to the scattering problem is analyzed. Numerical experiments illustrate competitive behavior of the proposed method.

关 键 词：洞穴 吸收边界层 有限元方法 

分 类 号：O242[理学—计算数学]