J4 ›› 2011, Vol. 46 ›› Issue (6): 37-40.

• Articles • Previous Articles     Next Articles

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

PAN Qingfei1, SHAN Wei2*, WU Jianliang3   

  1. 1. Department of Civil Engineering and Architecture, Sanming University, Sanming 365004, Fujian, China;
    2. School of Science, Jinan University, Jinan  250022, Shandong, China;
    3. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2010-07-06 Online:2011-06-16 Published:2011-12-19


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.

Key words:  acoustic scattering; multi-scale finite-element; spectral stochastic

No related articles found!
Full text



No Suggested Reading articles found!