Multiscale Discontinuous Galerkin Method for one-dimensional Schrodinger Equations

Multiscale Discontinuous Galerkin Method for one-dimensional Schrodinger Equations

时间：5月14日 上午10:00――11:00

地点：逸夫工商楼200-9

报告人:王为（florida international university ）
Abstract: In this talk we will introduce a multiscale discontinuous Galerkin (DG) method for one-dimensional stationary Schrodinger equations . Because of the oscillatory behavior of the solutions, traditional numerical methods require extremely refined meshes to resolve the small scale structure of solutions, thus the computational cost is huge. The main idea of our multiscale method is to apply WKB asymptotic to construct non-polynomial multiscale basis functions so that it can capture the solution better on coarse meshes. We will show the error estimate of the method in L2 norm. Numerical examples including solving Schr¨odinger equation and  simulating the resonant tunneling diode (RTD) model will be shown.

联系人：仲老师zhongxh@zju.edu.cn

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