Publications [#283889] of Qing H. Liu

Papers Published

1. Liu, QH, On the PSTD method for large-scale problems, Annual Review of Progress in Applied Computational Electromagnetics, vol. 2 (January, 1998), pp. 852-857, Monterey, CA, USA
   (last updated on 2023/08/08)

   Abstract:
   Conventional finite-difference time-domain (FDTD) methods require a large number of unknowns, typically 10-20 nodes per minimum wavelength λ for a problem of medium size. This work makes a theoretical comparison of the pseudospectral time-domain (PSTD) method with the FDTD and MRTD (multi-resolution time-domain) methods. The new PSTD algorithm is based on the fast Fourier transforms and perfectly matched layers. It significantly reduces the number of unknowns to 2 nodes/λ. The method is demonstrated by a three-dimensional problem with an apparently unprecedented size of 128λ×128λ×128λ.

   Keywords:
   Algorithms;Finite difference method;Spectrum analysis;Fast Fourier transforms;Problem solving;