Asymptotic and numerical analysis for Holland and Simpson's thin wire formalism

نویسندگان

  • Xavier Claeys
  • Francis Collino
چکیده

In the context of simulation of electromagnetic propagation, the thin wire formalism of Holland and Simpson allows one to deal with scattering by perfectly conducting thin wires by coupling a standard FDTD method with a discrete 1D wave equation ruling the current inside the wires. This method can be very accurate, but it involves a fitting parameter that requires careful calibration. We propose a consistency analysis and derive a formula for the calibration of this parameter in the case of a simplified 2D analogue of the method of Holland and Simpson. Our proof relies on the observation that this method is actually a hidden version of the singular function method well known in the context of elliptic equations in domains with a singular boundary. © 2011 Elsevier B.V. All rights reserved.

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Liste de publications

[2] X.Claeys and H.Haddar, Scattering from infinite rough tubular surfaces, Math. Methods Appl. Sci. 30 (2007), no. 4, 389–414. [3] X.Claeys, On the theoretical justification of Pocklington’s equation, Math. Models and Methods Appl. Sci. 19 (2009), no. 8, 1325–1355. [4] X.Claeys and F.Collino, Augmented Galerkin Schemes for the Numerical Solution of Scattering, by Small Obstacles. Numer. Math. ...

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 235  شماره 

صفحات  -

تاریخ انتشار 2011