Back to Search
Start Over
Asymptotic and numerical analysis for Holland and Simpson’s thin wire formalism
- Source :
-
Journal of Computational & Applied Mathematics . Jun2011, Vol. 235 Issue 15, p4418-4438. 21p. - Publication Year :
- 2011
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 235
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 60923768
- Full Text :
- https://doi.org/10.1016/j.cam.2011.04.008