Publications [#283664] of Qing H. Liu

Papers Published

1. Wei, BJ; Song, DG; Liu, QH, Hybrid DTA-BCGS algorithm for simulating electromagnetic scattering of 3-D inhomogeneous objects in horizontally stratified medium, Zhongguo Shiyou Daxue Xuebao (Ziran Kexue Ban)/Journal of China University of Petroleum (Edition of Natural Science), vol. 32 no. 1 (February, 2008), pp. 156-161, ISSN 1673-5005
   (last updated on 2023/08/08)

   Abstract:
   A hybrid implementation of a novel scattering approximation-diagonal tensor approximation (DTA) with the stabilized biconjugate-gradient fast Fourier transform (BCGS-FFT) algorithm for integral equations was developed to improve the efficiency for accurate simulating electromagnetic scattering of 3-D inhomogeneous objects in horizontally stratified medium. Two kinds of approximation were obtained, which can be accelerated by the fast Fourier transform technique. The DTA solution is used as both the initial estimate and the pre-conditioner in the BCGS-FFT algorithm in order to solve the scattered electromagnetic fields accurately with fewer iterations than conventional BCGS-FFT. The accuracy and convergence of DTA, the hybrid DTA-BCGS and BCGS-FFT were compared with several numerical examples. The numerical results show that the second kind of improved diagonal tensor approximation (DTA2) is greatly superior in the accuracy and that the hybrid DTA-BCGS algorithm can produce results as accurate as the conventional BCGS-FFT but with fewer iterations.