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A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures

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Abstract
Global and local multitrace formulations (MTFs) provide a flexible and efficient method for the modeling of scattering and transmission of time harmonic electromagnetic (EM) waves by composite structures. This contribution extends the domain of applicability of global MTFs to cases where penetrable domains, perfectly conducting domain, and perfectly conducting thin sheets are all part of the design. A novel and easy to implement resonance-free equation to model scattering by perfect conductors is introduced. A Calderon preconditioner designed to limit the number of iterations required for the solution of the discrete system is designed and studied. The accuracy, flexibility, and efficiency of the method are demonstrated on a representative range of examples.
Keywords
DOMAIN DECOMPOSITION METHODS, BOUNDARY INTEGRAL-EQUATIONS, ELECTROMAGNETIC SCATTERING, OBJECTS, PRECONDITIONER, EFIE, Integral equations, Electromagnetic scattering, Magnetoacoustic effects, Magnetic resonance, Magnetic domains, Mathematical models, Junctions, Domain decomposition, electromagnetic (EM) scattering, multitrace, formulation (MTF), preconditioning, resonance

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Citation

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MLA
Lasisi, Shakirudeen, et al. “A Fast Converging Resonance-Free Global Multi-Trace Method for Scattering by Partially Coated Composite Structures.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 70, no. 10, 2022, pp. 9534–43, doi:10.1109/TAP.2022.3187606.
APA
Lasisi, S., Benson, T. M., Gradoni, G., Greenaway, M., & Cools, K. (2022). A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 70(10), 9534–9543. https://doi.org/10.1109/TAP.2022.3187606
Chicago author-date
Lasisi, Shakirudeen, Trevor M. Benson, Gabriele Gradoni, Mark Greenaway, and Kristof Cools. 2022. “A Fast Converging Resonance-Free Global Multi-Trace Method for Scattering by Partially Coated Composite Structures.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 70 (10): 9534–43. https://doi.org/10.1109/TAP.2022.3187606.
Chicago author-date (all authors)
Lasisi, Shakirudeen, Trevor M. Benson, Gabriele Gradoni, Mark Greenaway, and Kristof Cools. 2022. “A Fast Converging Resonance-Free Global Multi-Trace Method for Scattering by Partially Coated Composite Structures.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 70 (10): 9534–9543. doi:10.1109/TAP.2022.3187606.
Vancouver
1.
Lasisi S, Benson TM, Gradoni G, Greenaway M, Cools K. A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2022;70(10):9534–43.
IEEE
[1]
S. Lasisi, T. M. Benson, G. Gradoni, M. Greenaway, and K. Cools, “A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 70, no. 10, pp. 9534–9543, 2022.
@article{01GJMM29M4YC3V3QCNX5TAB4X7,
  abstract     = {{Global and local multitrace formulations (MTFs) provide a flexible and efficient method for the modeling of scattering and transmission of time harmonic electromagnetic (EM) waves by composite structures. This contribution extends the domain of applicability of global MTFs to cases where penetrable domains, perfectly conducting domain, and perfectly conducting thin sheets are all part of the design. A novel and easy to implement resonance-free equation to model scattering by perfect conductors is introduced. A Calderon preconditioner designed to limit the number of iterations required for the solution of the discrete system is designed and studied. The accuracy, flexibility, and efficiency of the method are demonstrated on a representative range of examples.}},
  author       = {{Lasisi, Shakirudeen and  Benson, Trevor M. and  Gradoni, Gabriele and  Greenaway, Mark and Cools, Kristof}},
  issn         = {{0018-926X}},
  journal      = {{IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION}},
  keywords     = {{DOMAIN DECOMPOSITION METHODS,BOUNDARY INTEGRAL-EQUATIONS,ELECTROMAGNETIC SCATTERING,OBJECTS,PRECONDITIONER,EFIE,Integral equations,Electromagnetic scattering,Magnetoacoustic effects,Magnetic resonance,Magnetic domains,Mathematical models,Junctions,Domain decomposition,electromagnetic (EM) scattering,multitrace,formulation (MTF),preconditioning,resonance}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{9534--9543}},
  title        = {{A fast converging resonance-free global multi-trace method for scattering by partially coated composite structures}},
  url          = {{http://doi.org/10.1109/TAP.2022.3187606}},
  volume       = {{70}},
  year         = {{2022}},
}

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