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Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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On the behaviour of time discretisations of the electric field integral equation

Davies, Penny and Duncan, D.B. (2000) On the behaviour of time discretisations of the electric field integral equation. Applied Mathematics and Computation, 107. pp. 1-26. ISSN 0096-3003

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Abstract

We derive a separation of variables solution for time-domain electromagnetic scattering from a perfectly conducting in®nite ¯at plate. The time dependent part of the equations are then used as a model problem in order to study the e€ects of various time discretisations on the full scattering problem. We examine and explain how exponential and polynomial instabilities arise in the approximation schemes, and show that the time averaging which is often used in an attempt to stabilise solutions of the full problem acts to destabilise some of the schemes. Our results show that two of the time discretisations can produce good results when coupled with a space-exact approximation, and indicate that they will be useful when coupled with an accurate enough spatial approximation.