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Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager

Kristof Cools (UGent) , Ignace Bogaert (UGent) , Jan Fostier (UGent) , Joris Peeters (UGent) , Dries Vande Ginste (UGent) , Hendrik Rogier (UGent) and Daniël De Zutter (UGent)
(2011) RADIO SCIENCE. 46.
Author
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Abstract
Boundary element methods (BEMs) are an increasingly popular approach to model electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullulated from the research into BEMs, enhancing its efficiency and applicability. In designing a viable implementation of the BEM, both theoretical and practical aspects need to be taken into account. Theoretical aspects include the choice of an integral equation for the sought after current densities on the geometry's boundaries and the choice of a discretization strategy (i.e. a finite element space) for this equation. Practical aspects include efficient algorithms to execute the multiplication of the system matrix by a test vector (such as a fast multipole method) and the parallelization of this multiplication algorithm that allows the distribution of the computation and communication requirements between multiple computational nodes. In honor of our former colleague and mentor, F. Olyslager, an overview of the BEMs for large and complex EM problems developed within the Electromagnetics Group at Ghent University is presented. Recent results that ramified from F. Olyslager's scientific endeavors are included in the survey.
Keywords
LOW-FREQUENCIES, PERFECTLY MATCHED LAYERS, ERROR CONTROL, OBJECTS, MLFMA, MFIE, PLANAR MICROWAVE STRUCTURES, CONFORMING BASIS FUNCTIONS, FIELD INTEGRAL-EQUATION, FAST MULTIPOLE ALGORITHM

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MLA
Cools, Kristof, et al. “Accurate and Efficient Algorithms for Boundary Element Methods in Electromagnetic Scattering: A Tribute to the Work of F. Olyslager.” RADIO SCIENCE, vol. 46, 2011, doi:10.1029/2010RS004636.
APA
Cools, K., Bogaert, I., Fostier, J., Peeters, J., Vande Ginste, D., Rogier, H., & De Zutter, D. (2011). Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager. RADIO SCIENCE, 46. https://doi.org/10.1029/2010RS004636
Chicago author-date
Cools, Kristof, Ignace Bogaert, Jan Fostier, Joris Peeters, Dries Vande Ginste, Hendrik Rogier, and Daniël De Zutter. 2011. “Accurate and Efficient Algorithms for Boundary Element Methods in Electromagnetic Scattering: A Tribute to the Work of F. Olyslager.” RADIO SCIENCE 46. https://doi.org/10.1029/2010RS004636.
Chicago author-date (all authors)
Cools, Kristof, Ignace Bogaert, Jan Fostier, Joris Peeters, Dries Vande Ginste, Hendrik Rogier, and Daniël De Zutter. 2011. “Accurate and Efficient Algorithms for Boundary Element Methods in Electromagnetic Scattering: A Tribute to the Work of F. Olyslager.” RADIO SCIENCE 46. doi:10.1029/2010RS004636.
Vancouver
1.
Cools K, Bogaert I, Fostier J, Peeters J, Vande Ginste D, Rogier H, et al. Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager. RADIO SCIENCE. 2011;46.
IEEE
[1]
K. Cools et al., “Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager,” RADIO SCIENCE, vol. 46, 2011.
@article{2029300,
  abstract     = {{Boundary element methods (BEMs) are an increasingly popular approach to model electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullulated from the research into BEMs, enhancing its efficiency and applicability. In designing a viable implementation of the BEM, both theoretical and practical aspects need to be taken into account. Theoretical aspects include the choice of an integral equation for the sought after current densities on the geometry's boundaries and the choice of a discretization strategy (i.e. a finite element space) for this equation. Practical aspects include efficient algorithms to execute the multiplication of the system matrix by a test vector (such as a fast multipole method) and the parallelization of this multiplication algorithm that allows the distribution of the computation and communication requirements between multiple computational nodes. In honor of our former colleague and mentor, F. Olyslager, an overview of the BEMs for large and complex EM problems developed within the Electromagnetics Group at Ghent University is presented. Recent results that ramified from F. Olyslager's scientific endeavors are included in the survey.}},
  articleno    = {{RS0E21}},
  author       = {{Cools, Kristof and Bogaert, Ignace and Fostier, Jan and Peeters, Joris and Vande Ginste, Dries and Rogier, Hendrik and De Zutter, Daniël}},
  issn         = {{0048-6604}},
  journal      = {{RADIO SCIENCE}},
  keywords     = {{LOW-FREQUENCIES,PERFECTLY MATCHED LAYERS,ERROR CONTROL,OBJECTS,MLFMA,MFIE,PLANAR MICROWAVE STRUCTURES,CONFORMING BASIS FUNCTIONS,FIELD INTEGRAL-EQUATION,FAST MULTIPOLE ALGORITHM}},
  language     = {{eng}},
  pages        = {{10}},
  title        = {{Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: a tribute to the work of F. Olyslager}},
  url          = {{http://doi.org/10.1029/2010RS004636}},
  volume       = {{46}},
  year         = {{2011}},
}
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