A Fourier collocation method for Schrodinger-Poisson system with perfectly matched layer
报告题目(Title)：A Fourier collocation method for Schrodinger-Poisson system with perfectly matched layer
报告人(Speaker)：王汉权（云南财经大学）
地点(Place)：电子楼103 &腾讯会议ID: 127185 942
时间(Time)：11月23日（星期一），13:30pm-14:30pm
邀请人(Inviter)：蔡勇勇
报告摘要
Fourier spectral method has been widely used to solve Schrodinger equation with constant coefficients. It meets difficulties and loses its efficiency when solving Schrodinger equation with variable coefficients. We show that Fourier collocation method can be applied to efficiently solve Schrodinger equation with variable coefficients. The method is characterized by the expansion of the solution in terms of Fourier series-based functions, while the expansion coefficients are computed so that the equation is satisfied exactly at a set of collocation points. We implement the method to solve the Schrodinger-Poisson (SP) system with perfectly matched layer (PML), which is a Schrodinger-type equation with variable coefficients. We carry out numerical simulation for the SP system by employing splitting method in time and Fourier collocation method in space, respectively. Numerical results show that the Fourier-collocation method coupled with PML technique can absorb well the outgoing waves governed by the Schrodinger equation when the wave goes out of the physical computational boundary. This is a joint work with Ronghua Cheng.
