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Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning

Michiel Gossye (UGent) , Dries Vande Ginste (UGent) and Hendrik Rogier (UGent)
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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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Chicago
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.
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. Presented at the 7th International Conference on Advanced Computational Methods in Engineering (ACUMEN).
Vancouver
1.
Gossye M, Vande Ginste D, Rogier H. Electromagnetic modeling of high magnetic contrast media using Calderon preconditioning. COMPUTERS & MATHEMATICS WITH APPLICATIONS. Oxford: Elsevier; 2019;77(6):1626–38.
MLA
Gossye, Michiel, Dries Vande Ginste, and Hendrik Rogier. “Electromagnetic Modeling of High Magnetic Contrast Media Using Calderon Preconditioning.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 77.6 (2019): 1626–1638. Print.
@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},
  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://dx.doi.org/10.1016/j.camwa.2018.08.045},
  volume       = {77},
  year         = {2019},
}

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