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arXiv · 1606.07580

A Low-Frequency and Refinement Stable Impedance Boundary Condition EFIE

Alexandre Dely·Francesco P. Andriulli·Kristof Cools
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Abstract

In this contribution, a discretisation of the IBC EFIE is introduced that (i) yields the correct solution at arbitrarily small frequencies, (ii) requires for its solution a number of matrix vector products bounded as the frequency tends to zero and as the mesh density increases. The low frequency stabilisation is based on a projector-based discrete Helmholtz splitting, rescaling, and recombination that depends on the low frequency behaviour of both the EFIE operator and the surface impedance condition. The dense mesh stabilisation is a modifcation of the Perfect Electric Conductor operator preconditioning approach taking into account the effect on the singular value spectrum of the IBC term.

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Alexandre Dely, Francesco P. Andriulli, Kristof Cools. 2016-06-24. A Low-Frequency and Refinement Stable Impedance Boundary Condition EFIE. https://arxiv.org/abs/1606.07580

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