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Fourier stability analysis of a numerical method for time domain electromagnetic scattering from a thin wire

Zubik-Kowal, B. (2004) Fourier stability analysis of a numerical method for time domain electromagnetic scattering from a thin wire. Numerical Algorithms, 35 (1). pp. 121-130.

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Abstract

We present stability results for a numerical scheme for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field, using the exact kernel formulation. The results show that the algorithm is stable for arbitrarily small values of the mesh size.