Keywords
piece-wise smooth boundary
accuracy
Modificación del método de fuentes discretas
frontera suave a trozos
precisión
How to Cite
Abstract
An universal modification of the method of discrete sources (MMDS) was applied for solving 2D Dirichlet or Neumann boundary problem when the scatterer’s contour is a piece-wise smooth contour. The problems of accuracy, choosing auxiliary contours, stable results, location and type of contour’s break points are discussed.
References
Kupradze, V.D. (1967) “On the approximate solutions of problems in mathematical physics”, Journal Success Mathematical Sci. 22: 58–108.
Kyurkchan, A.G. (1986) “Analytical continuation of wave fields”, Journal of Radiotekh. and Electron 31: 1294–1303.
Kyurkchan, A.G. (1986) “Representation of diffraction fields by wave potentials and the method of auxiliary currents in problems of the diffraction of electromagnetic waves”, Journal Radiotekh. and Electron 31: 20–27.
Kyurkchan, A.G.; Sternin, B.Yu.; Shatalov, V.E. (1996) “Singularities of continuation of wave fields”, Journal Usp. Fiz. Nauk 166: 1285–1312.
Obelleiro, F.; Landesa, L.; Rodrigues, J.L.; Pino, M.R.; Sabariego, R.V.; Leviatan, Y. (2001) “Localized iterative generalized multipole technique for large two-dimentional scattering problems” IEEE Tr. on Antennas and Propagation 49: 961–970.
Kaklamani, D.I.; Anastassiu, H.T. (2002) “Aspects of the method of auxiliary sources in computational electromagnetics”, IEEE Antenna and Propagation Magazine 44: 48–64.
Kyurkchan, A.G.; Minaev, S.A.; Soloveichik, A.L. (2001) “A modification of the method of discrete sources based on prior information about singularities of the diffracted field”, Journal of Radiotekh. and Electron 46: 666–672.
Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “A modification of the method of discrete sources”, Journal Radiotekh. and Electron 47(8): 955–960.
Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “Application of MMDS in 2D and 3D scattering problems”, Proceedings of International Symposium on Antennas JINA 2002 (Vol.2), Nice : 213–216.
Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “Universal modification of the 2D and 3D method of discrete sources”, Proceedings of XXVII-th URSI General Assembly, Maastricht, August.
Keller, J.B. (1962) “Geometrical theory of diffraction”, Journal of Opt. Soc. Amer. 52(2): 116–130.
Borovikov, V.A.; Kinber, B.E. (1978) Geometrical Theory of Diffraction. Svyaz, Moscow