弹性波散射问题优化PML方法的收敛性

摘要

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 parameterε0 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 parameterε0 is small sufficiently.%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ε0,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ε0充分小时,优化的PML解指数收敛于原弹性波散射问题的解.