Open AccessImproved ADI iterative algorithm with two‐step Gauss–Seidel procedure for efficientLaguerre‐based BOR–FDTD method
Author(s) -
Zhu DaWei,
Chen HaiLin,
Chen Bin,
Duan YanTao,
Xu BoAo,
Luo Kang
Publication year - 2019
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2018.5653
Subject(s) - perfectly matched layer , finite difference time domain method , algorithm , gauss–seidel method , mathematics , convergence (economics) , iterative method , alternating direction implicit method , finite difference method , boundary value problem , mathematical analysis , optics , physics , economics , economic growth
An improved alternating‐direction‐implicit (ADI) algorithm for an efficient Laguerre‐based body‐of‐revolution finite‐difference time‐domain (BOR–FDTD) method is presented. A new correction equation for Eρ * q is added to the linear equations to speed up the convergence, and the two‐step Gauss–Seidel procedure instead of the one‐step procedure in the existing algorithm is introduced in the entire iterative algorithm. To validate the accuracy and efficiency of the proposed algorithm, which is applied to the BOR structure, two scattering examples are provided to demonstrate the algorithm. At the same time, the relative reflection error of the perfectly matched layer (PML) is calculated for comparisons with Mur's absorbing boundary condition.