A Low-Frequency and Refinement Stable Impedance Boundary Condition EFIE
Computational Physics
2016-06-27 v1
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.
Cite
@article{arxiv.1606.07580,
title = {A Low-Frequency and Refinement Stable Impedance Boundary Condition EFIE},
author = {Alexandre Dely and Francesco P. Andriulli and Kristof Cools},
journal= {arXiv preprint arXiv:1606.07580},
year = {2016}
}