PML method for scattering problems
计算数学学术报告
报告题目(Title)：PML method for scattering problems
报告人(Speaker)：江雪（北京工业大学）
地点(Place)：教八410
时间(Time)：2019年12月2日 13:30
邀请人(Inviter)：陈华杰
报告摘要
In this talk, I will give a brief introduction to the perfectly matched layer method for scattering problems. Then we consider the Helmholtz scattering problem in half space with impedance boundary condition. Different from the problem with Dirichlet boundary condition, the Green function of the Helmholtz equation with impedance boundary condition becomes very complicated and comprises surface waves along the locally perturbed boundary. A uniaxial perfectly matched layer (UPML) method is proposed to truncate the half space into a bounded computational domain. The main contribution is to prove the well-posedness of the PML problem and the exponential convergence of the approximate solution to the exact solution as either the thickness or the medium parameter of PML increases.
