On the spectrum of the electric field integral equation and the convergence of the moment method (Q2719992)

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scientific article; zbMATH DE number 1610494
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On the spectrum of the electric field integral equation and the convergence of the moment method
scientific article; zbMATH DE number 1610494

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    On the spectrum of the electric field integral equation and the convergence of the moment method (English)
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    14 May 2002
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    method of moments
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    Helmholtz problem
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    electric field integral equation
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    condition number
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    The authors consider the scattering of a periodic electromagnetic field by an infinite conducting strip for both TM and TE polarizations, the object being to analyze numerical methods in the scattering problems of computational electromagnetics. They study the method of moments for the numerical solution, develop condition number estimates and consider discretization and quadrature errors. It is concluded that the numerical experiments demonstrate agreement between theoretical and numerical results. It is pointed out that calculations of scattering amplitude are more accurate than those of surface current. There are three appendices to the paper, dealing respectively with asymptotic expansion of Fourier representations, surface wave row sums, and discretization using the single-point integration rule.
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