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Zhao, S. (2007) On the Spurious Solutions in the High-Order Finite Difference Methods for Eigenvalue Problems. Computer Methods in Applied Mechanics and Engineering, 196, 5031-5046.

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• TITLE: Numerical Method for Solving Electromagnetic Wave Scattering by One and Many Small Perfectly Conducting Bodies

  AUTHORS: Nhan T. Tran

  KEYWORDS: Electromagnetic Scattering, Many Bodies, Perfectly Conducting Body, Integral Equation, EM Waves

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.7 No.4, December 14, 2017

  ABSTRACT: In this paper, we investigate the problem of electromagnetic (EM) wave scattering by one and many small perfectly conducting bodies and present a numerical method for solving it. For the case of one body, the problem is solved for a body of arbitrary shape, using the corresponding boundary integral equation. For the case of many bodies, the problem is solved asymptotically under the physical assumptions a d a is the characteristic size of the bodies, d is the minimal distance between neighboring bodies, λ = 2π/k is the wave length and k is the wave number. Numerical results for the cases of one and many small bodies are presented. Error analysis for the numerical method is also provided.