Title :
A new stable hybrid three-dimensional finite difference time domain (FDTD) algorithm for analyzing complex structures
Author :
Marrone, Massimiliano ; Mittra, Raj
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
In this paper, we propose it new hybrid generalized FDTD 3D algorithm, implemented by the cell method, for the analysis of fine details. It can analyze complex objects with fine features without placing a heavy constraint on the maximum time step imposed by the stability criterion. Additionally, the matrix notation of the cell method has enabled us to carry out a stability analysis of the hybrid algorithm, and to derive two conditions that guarantee stable numerical solutions. Finally, we have demonstrated, via extensive testing, that there were no instabilities when applying the proposed algorithm to test cases.
Keywords :
computational electromagnetics; finite difference time-domain analysis; matrix algebra; numerical stability; stability criteria; cell method matrix notation; complex structure analysis; finite difference time domain method; hybrid 3D FDTD algorithm; stability analysis; stability criterion maximum time step; Algorithm design and analysis; Eigenvalues and eigenfunctions; Electromagnetic analysis; Finite difference methods; Finite element methods; Linear systems; Partitioning algorithms; Stability analysis; Symmetric matrices; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2004. IEEE
Print_ISBN :
0-7803-8302-8
DOI :
10.1109/APS.2004.1330518
