偏微分方程及其应用中心
学术报告


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Speaker:

Prof.Xiaobing Feng,Department of Mathematics, University of Tennessee, USA

Inviter: 张波 研究员
Title:
An Efficient Multimodes Monte Carlo Method for Wave Scattering in Random Media
Time & Venue:

2020.1.10 16:30 N620

Abstract:

In this talk I shall present a newly developed multimodes Monte Carlo approach for wave scattering in random media and for general random PDEs. This approach is based on a multi-modes representation of the solution of the random PDE, as a result, the original random PDE is reduced to a finite number of almost deterministic PDEs with random source terms. Efficient numerical methods and solvers can be formulated for solving the reduced problems.
Random acoustic and elastic Helmholtz equations and random Maxwell equations, which govern respectively acoustic, elastic and electromagnetic wave scattering in random media, will be discussed in detail to explain the main ideas of the proposed approach. Convergence analysis and numerical experiments will be presented to demonstrate the potential advantages of the proposed approach. If time permits, extension to random diffusion equations will also be briefly discussed.

Affiliation:  

学术报告中国科学院数学与系统科学研究院应用数学研究所
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