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Recent advances in boundary element methods applied to conducting and dielectric electromagnetic scattering problems

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Abstract
Boundary element methods (BEMs) are an increasingly popular approach to the modeling of electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullu-lated from the research into BEMs, enhancing its efficiency. The Fast Multipole Method (FMM) and its descendants accelerate the matrix-vector product that constitutes the BEM's computational bottleneck. In particular, dedicated FMMs have been conceived for the computation of the electromagnetic scattering at complex metallic and/or dielectric objects in free space and in layered background media. Caldero n preconditioning of the BEM's system matrix lowers the number of matrix-vector products required to reach an accurate solution, and thus the time to reach it. Parallelization distributes the remaining workload over a battery of affordable computational nodes, diminishing the wall-clock computation time. In honor of our former colleague and mentor, Prof. F. Olyslager, an overview of some dedicated BEMs for large and complex EM problems developed within the Electromagnetics Group at Ghent University is presented. Recent results that ramified from Prof. Olyslager's scientific endeavors are included in the survey.
Keywords
matrix algebra, electromagnetic wave scattering, vectors

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Please use this url to cite or link to this publication:

Chicago
Cools, Kristof, Ignace Bogaert, Jan Fostier, Joris Peeters, Dries Vande Ginste, Hendrik Rogier, and Daniël De Zutter. 2010. “Recent Advances in Boundary Element Methods Applied to Conducting and Dielectric Electromagnetic Scattering Problems.” In 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010), 814–817. Piscataway, NJ, USA: IEEE.
APA
Cools, Kristof, Bogaert, I., Fostier, J., Peeters, J., Vande Ginste, D., Rogier, H., & De Zutter, D. (2010). Recent advances in boundary element methods applied to conducting and dielectric electromagnetic scattering problems. 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010) (pp. 814–817). Presented at the 20th URSI International symposium on Electromagnetic Theory (EMTS 2010), Piscataway, NJ, USA: IEEE.
Vancouver
1.
Cools K, Bogaert I, Fostier J, Peeters J, Vande Ginste D, Rogier H, et al. Recent advances in boundary element methods applied to conducting and dielectric electromagnetic scattering problems. 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010). Piscataway, NJ, USA: IEEE; 2010. p. 814–7.
MLA
Cools, Kristof, Ignace Bogaert, Jan Fostier, et al. “Recent Advances in Boundary Element Methods Applied to Conducting and Dielectric Electromagnetic Scattering Problems.” 2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010). Piscataway, NJ, USA: IEEE, 2010. 814–817. Print.
@inproceedings{1162102,
  abstract     = {Boundary element methods (BEMs) are an increasingly popular approach to the modeling of electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullu-lated from the research into BEMs, enhancing its efficiency. The Fast Multipole Method (FMM) and its descendants accelerate the matrix-vector product that constitutes the BEM's computational bottleneck. In particular, dedicated FMMs have been conceived for the computation of the electromagnetic scattering at complex metallic and/or dielectric objects in free space and in layered background media. Caldero n preconditioning of the BEM's system matrix lowers the number of matrix-vector products required to reach an accurate solution, and thus the time to reach it. Parallelization distributes the remaining workload over a battery of affordable computational nodes, diminishing the wall-clock computation time. In honor of our former colleague and mentor, Prof. F. Olyslager, an overview of some dedicated BEMs for large and complex EM problems developed within the Electromagnetics Group at Ghent University is presented. Recent results that ramified from Prof. Olyslager's scientific endeavors are included in the survey.},
  author       = {Cools, Kristof and Bogaert, Ignace and Fostier, Jan and Peeters, Joris and Vande Ginste, Dries and Rogier, Hendrik and De Zutter, Dani{\"e}l},
  booktitle    = {2010 URSI International Symposium on Electromagnetic Theory (EMTS 2010)},
  isbn         = {9781424451555},
  keyword      = {matrix algebra,electromagnetic wave scattering,vectors},
  language     = {eng},
  location     = {Berlin, Germany},
  pages        = {814--817},
  publisher    = {IEEE},
  title        = {Recent advances in boundary element methods applied to conducting and dielectric electromagnetic scattering problems},
  url          = {http://dx.doi.org/10.1109/URSI-EMTS.2010.5637221},
  year         = {2010},
}

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