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

Dely, Alexandre; Andriulli, Francesco P.; Cools, Kristof

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


Authors

Alexandre Dely

Francesco P. Andriulli

Kristof Cools



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.

Citation

Dely, A., Andriulli, F. P., & Cools, K. (2017). An impedance boundary condition EFIE that is low-frequency and refinement stable. IEEE Transactions on Antennas and Propagation, 65(3), 1259-1266. https://doi.org/10.1109/TAP.2016.2647684

Journal Article Type Article
Acceptance Date Dec 18, 2016
Publication Date Jan 4, 2017
Deposit Date Sep 14, 2017
Publicly Available Date Mar 29, 2024
Journal IEEE Transactions on Antennas and Propagation
Print ISSN 0018-926X
Electronic ISSN 0018-926X
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 65
Issue 3
Pages 1259-1266
DOI https://doi.org/10.1109/TAP.2016.2647684
Keywords Scattering, Impedance Boundary Conditions, Preconditioning, Low Frequency, Boundary Element Method
Public URL https://nottingham-repository.worktribe.com/output/841962
Publisher URL http://ieeexplore.ieee.org/abstract/document/7805284/
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.

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