An impedance boundary condition EFIE that is low-frequency and refinement stable

Dely, Alexandre and Andriulli, Francesco P. and Cools, Kristof (2017) An impedance boundary condition EFIE that is low-frequency and refinement stable. IEEE Transactions on Antennas and Propagation, 65 (3). pp. 1259-1266. ISSN 0018-926X

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Abstract

A discretization of the impedance boundary condition electric field integral equation (IBC-EFIE) is introduced that: 1) yields the correct solution at arbitrarily small frequencies and 2) 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 stabilization is based on a projector-based discrete Helmholtz splitting, rescaling, and recombination that depends on the low frequency behavior of both the EFIE operator and the surface impedance condition. The dense mesh stabilization is a modification of the perfect electric conductor operator preconditioning approach taking into account the effect on the singular value spectrum of the IBC term.

Item Type: Article
Additional Information: (c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Keywords: Scattering, Impedance Boundary Conditions, Preconditioning, Low Frequency, Boundary Element Method
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Electrical and Electronic Engineering
Identification Number: 10.1109/TAP.2016.2647684
Depositing User: Eprints, Support
Date Deposited: 14 Sep 2017 13:06
Last Modified: 14 Sep 2017 18:35
URI: http://eprints.nottingham.ac.uk/id/eprint/46344

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