The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed
Davies, P.J. and Zubik-Kowal, B. and Rynne, B.P. (2002) The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed. IEEE Transactions on Antennas and Propagation, 50 (8). pp. 1165-1166. ISSN 0018-926X (http://dx.doi.org/10.1109/TAP.2002.800702)
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We show that the Pocklington integral equation for time-domain scattering from thin-wire antennas is not mathematically well-posed. This has considerable implications for numerical solution schemes. In particular, our argument explains the observed occurrence of rapidly oscillating errors in numerical solutions as the numerical grid sizes are reduced.
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Item type: Article ID code: 2064 Dates: DateEvent2002PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics
Unknown DepartmentDepositing user: Strathprints Administrator Date deposited: 14 Jan 2007 Last modified: 08 Apr 2024 15:21 URI: https://strathprints.strath.ac.uk/id/eprint/2064
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