弹性波散射问题优化PML方法的收敛性  

Convergence of Optimal Perfectly Matched Layer Method for Elastic Wave Scattering Problems

作　　者：杨孝英[1] 王晓阳[2] 

机构地区：[1]长春工业大学基础科学学院,长春130012 [2]长春大学理学院,长春130022

出　　处：《吉林大学学报（理学版）》2017年第6期1425-1429,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11671170)

摘　　要：基于频域复坐标拉伸,给出一种解时谐弹性波散射问题的单轴优化完美匹配层(PML)方法.该方法通过在吸收函数中引入一个小参数ε_0,使散射问题优化PML方法的计算不再依赖PML层的厚度.结果表明,当参数ε_0充分小时,优化的PML解指数收敛于原弹性波散射问题的解.We gave a uniaxial optimal perfectly matched layer（PML）method for solving the scattering problem of time harmonic elastic wave based on the complex coordinate stretching in the frequency domain.By introducing a small parameter ε_0 in the absorption function,the optimal PML method for scattering problem was no longer dependent on the thickness of the PML layer.The results show that the optimal PML solution converges exponentially to the solution of the original elastic wave scattering problem if the parameter ε_0 is small sufficiently.

关 键 词：弹性波散射 优化的PML方法 指数收敛 

分 类 号：O241.3[理学—计算数学]