Helmholtz方程外问题的谱随机多尺度有限元法

A spectral stochastic multi-scale finite element method for the exterior problem of the Helmholtz equation

研究了二维随机和多尺度求解声波与散射体相互作用的问题。基于变分原理和DtN映射方法,发展了数值求解这类声散射问题的一种谱随机多尺度有限元求解方法,提出了有效的数值实现手段。数值计算结果表明了所建立的有限元理论方法是有效和实用的,而且它的数值实现是快速的。

The interaction of acoustic waves with a scattering object in a stochastic and multi-scale media is studied.A spectral stochastic multi-scale finite-element method is developed to solve numerically the acoustic scattering problem based on the variation principle and the DtN mapping method.The results show that the proposed method is valid and its numerical implementation is very fast.