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 0096-3003Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||discretisations , electric field integral equation, Mathematics, Computational Mathematics, Applied Mathematics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||10 Nov 2011 15:16|
|Last modified:||06 Jan 2017 10:10|