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Stability analysis of predictor-corrector based quasi-explicit MOT-TDIE solvers.

Bibliography:

H. A. Ulku, H. Bagci, Stability analysis of predictor-corrector based quasi-explicit MOT-TDIE solvers, in Proc. Progress in Electromagnetics Research Symposium (PIERS), Aug. 2013.

Authors:

H. A. Ulku, H. Bagci

Keywords:

Stability analysis of predictor-corrector based quasi-explicit MOT-TDIE solvers

Year:

2013

Abstract:

In this work, an algebraic stability analysis for the quasi-explicit MOT-MFIE solver, which uses PE(CE)m type predictor-corrector schemes will be presented. The analysis is an extension of the one described in (S. P. Walker et al., Int. J. Numer.
Model.: Electron. Networks, Device Fields, 474(15), 459­474, 2002); the extension takes into account the predictor and corrector coefficients as well the number of corrector step repetitions while constructing the companion matrix of the quasi-explicit MOT system. Then, the locations of the companion matrix¹s eigenvalues are used to investigate the stability of the solver. Indeed, this algebraic analysis, which is executed on several examples, demonstrates that the explicit MOT solution is stable.

ISSN:

2013