NDLI: The Influence of the Exact Evaluation of Radiation Fields in Finite Precision Arithmetic on the Stability of the Time Domain Integral Equation Method

Content Provider	IEEE Xplore Digital Library
Author	van 't Wout, E. van der Heul, D.R. van der Ven, H. Vuik, C.
Copyright Year	1963
Abstract	Transient electromagnetic scattering phenomena can effectively be simulated with time domain integral equation methods. The stability and accuracy of the marching on in time scheme is usually established with exact evaluation of the radiation fields. Due to singularities in their analytical expressions, straightforward evaluation in finite precision arithmetic can jeopardize the accuracy of the radiation fields. Computational experiments confirm this and show that it can even lead to late-time instability of the numerical model. Hence, a reformulation is necessary to remove the singular behavior and obtain the robustness required for industrial application. To this end, highly accurate and well-behaved expressions for the quasi-exact integration method in finite precision arithmetic will be derived in this paper. Numerical experiments confirm the robustness and stability of the improved Marching on in Time scheme.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	6064
Ending Page	6074
Page Count	11
File Size	2505845
File Format	PDF
ISSN	0018926X
Volume Number	61
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Standards Robustness Numerical stability Stability analysis Integral equations Accuracy Observers time domain analysis electric field integral equation robustness stability
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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