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Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning

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Abstract
In this contribution, we present a Calderon preconditioner for a novel single-source equation to efficiently model electromagnetic scattering problems involving high magnetic contrasts. Through analysis of the spectral properties of the system matrix after discretization, it is shown that this formulation does not break down when high permeabilities are present, which was an unresolved problem of the Calderon preconditioned Poggio-Miller-Chan-Harrington-Wu-Tsai method. The adopted discretization scheme, which involves Rao-Wilton-Glisson and Buffa-Christiansen basis functions, allows for an easy integration in existing commercial Method of Moments software. The efficiency and accuracy of the presented method is corroborated by numerical examples. (C) 2018 Elsevier Ltd. All rights reserved.
Keywords
MULTIPLICATIVE PRECONDITIONER, INTEGRAL-EQUATION, SCATTERING, ALGORITHM, DOMAIN, Method of Moments, Electromagnetic scattering, Calderon preconditioner, High magnetic contrast

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Citation

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MLA
Gossye, Michiel, et al. “Electromagnetic Modeling of High Magnetic Contrast Media Using Calderon Preconditioning.” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 77, no. 6, Elsevier, 2019, pp. 1626–38, doi:10.1016/j.camwa.2018.08.045.
APA
Gossye, M., Vande Ginste, D., & Rogier, H. (2019). Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 77(6), 1626–1638. https://doi.org/10.1016/j.camwa.2018.08.045
Chicago author-date
Gossye, Michiel, Dries Vande Ginste, and Hendrik Rogier. 2019. “Electromagnetic Modeling of High Magnetic Contrast Media Using Calderon Preconditioning.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 77 (6): 1626–38. https://doi.org/10.1016/j.camwa.2018.08.045.
Chicago author-date (all authors)
Gossye, Michiel, Dries Vande Ginste, and Hendrik Rogier. 2019. “Electromagnetic Modeling of High Magnetic Contrast Media Using Calderon Preconditioning.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 77 (6): 1626–1638. doi:10.1016/j.camwa.2018.08.045.
Vancouver
1.
Gossye M, Vande Ginste D, Rogier H. Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2019;77(6):1626–38.
IEEE
[1]
M. Gossye, D. Vande Ginste, and H. Rogier, “Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 77, no. 6, pp. 1626–1638, 2019.
@article{8611421,
  abstract     = {{In this contribution, we present a Calderon preconditioner for a novel single-source equation to efficiently model electromagnetic scattering problems involving high magnetic contrasts. Through analysis of the spectral properties of the system matrix after discretization, it is shown that this formulation does not break down when high permeabilities are present, which was an unresolved problem of the Calderon preconditioned Poggio-Miller-Chan-Harrington-Wu-Tsai method. The adopted discretization scheme, which involves Rao-Wilton-Glisson and Buffa-Christiansen basis functions, allows for an easy integration in existing commercial Method of Moments software. The efficiency and accuracy of the presented method is corroborated by numerical examples. (C) 2018 Elsevier Ltd. All rights reserved.}},
  author       = {{Gossye, Michiel and Vande Ginste, Dries and Rogier, Hendrik}},
  issn         = {{0898-1221}},
  journal      = {{COMPUTERS & MATHEMATICS WITH APPLICATIONS}},
  keywords     = {{MULTIPLICATIVE PRECONDITIONER,INTEGRAL-EQUATION,SCATTERING,ALGORITHM,DOMAIN,Method of Moments,Electromagnetic scattering,Calderon preconditioner,High magnetic contrast}},
  language     = {{eng}},
  location     = {{Ghent Univ, Ghent, BELGIUM}},
  number       = {{6}},
  pages        = {{1626--1638}},
  publisher    = {{Elsevier}},
  title        = {{Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning}},
  url          = {{http://doi.org/10.1016/j.camwa.2018.08.045}},
  volume       = {{77}},
  year         = {{2019}},
}

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