三维时谐电磁散射问题优化PML方法的收敛性  

Convergence of Optimal PML Method for 3D Time Harmonic Electromagnetic Scattering Problems

作　　者：杨孝英[1] 

机构地区：[1]长春工业大学基础科学学院,长春130012

出　　处：《吉林大学学报（理学版）》2018年第2期293-298,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11671170)

摘　　要：给出解三维时谐电磁散射问题的一种优化完美匹配层(PML)方法.该方法基于频域复坐标拉伸,通过在吸收函数中引入一个小参数ε_0,使得散射问题优化PML方法的计算不依赖PML的厚度.并证明了只要参数ε_0充分小,优化的PML解指数收敛于原三维时谐电磁散射问题的解.The author gave an optimal perfectly matched layer(PML)method for solving the 3 Dtime harmonic electromagnetic scattering problems.The method was based on the complex coordinate stretching in the frequency domain.The calculation of the optimal PML problem for the scattering problem was not dependent on the thickness of the PML layer by introducing a small parameter ε_0 in the absorbing function.The author proved that the numerical solution converged exponentially to the original 3 Dtime harmonic electromagnetic scattering problems if the parameter ε_0 was sufficiently small.

关 键 词：三维时谐电磁散射 优化的完美匹配层(PML)方法 指数收敛 

分 类 号：O241.3[理学—计算数学]