A theoretical study of the stability criteria for hybridized FDTD algorithms for multiscale analysis

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 sta...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2004-08, Vol.52 (8), p.2158-2167
Main Authors: Marrone, M., Mittra, R.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Antennas
Criteria
Design methodology
Finite difference method
Finite difference methods
Finite element methods
Instability
Interpolation
Mathematical analysis
Reflection
Region 3
Stability
Stability analysis
Stability criteria
Time domain analysis
Two dimensional
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Summary: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.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2004.832332