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

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

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: Sep 14, 2017
• Journal: IEEE Transactions on Antennas and Propagation
• Print ISSN: 0018-926X
• Electronic ISSN: 1558-2221
• 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.
• Contract Date: Sep 14, 2017