Title :
A theoretical study of the stability criteria for hybridized FDTD algorithms for multiscale analysis
Author :
Marrone, M. ; Mittra, R.
Author_Institution :
Electromagn. Commun. Lab., Pennsylvania State Univ., University Park, PA, USA
Abstract :
In this paper, we propose two new hybrid, two-dimensional, generalized finite-difference time-domain algorithms-formulated by using the cell method-and designed to analyze objects with fine details, without using very small time steps dictated by the Courant condition. A detailed analysis of the stability of the proposed algorithms is presented, with special attention devoted to the phenomenon of late time instabilities. Finally, some rules are provided that would ensure the stability of the proposed algorithms.
Keywords :
finite difference time-domain analysis; stability criteria; Stability Criteria; cell method; finite-difference time-domain; hybridized FDTD algorithms; late time instabilities phenomenon; multiscale analysis; subgridding; Algorithm design and analysis; Design methodology; Finite difference methods; Finite element methods; Interpolation; Reflection; Region 3; Stability analysis; Stability criteria; Time domain analysis; CM; Cell method; FDTD; generalized finite-difference time-domain; hybrid algorithms; method; stability; subgridding;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.832332
