Asymptotic approaches for high frequency wave propagation
主 题: Asymptotic approaches for high frequency wave propagation
报告人: Songting Luo (Lowa State University)
时 间: 2018-01-03 15:00-16:00
地 点: 全斋9
Abstract: In this talk we will present some asymptotic approaches for simulating high frequency wave propagation that is governed by Helmholtz equation, Maxwell's equations or Schrodinger equation. Instead of computing the oscillatory waves directly, asymptotic approximations such as geometrical-optics approximations are applied to approximate the waves, where non-oscillatory phase and amplitudes can be computed efficiently to reconstruct the waves for any high frequencies. Detailed formulations will be derived, and numerical schemes along with numerical examples will be presented.