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Rigorous analysis of internal resonances in 3-D hybrid FE-BIE formulations by means of the Poincaré-Steklov operator

Freek Boeykens, Hendrik Rogier UGent, Jan Van Hese, Jeannick Sercu and Tim Boonen (2013) IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 61(10). p.3503-3513
abstract
3-D hybrid finite-element (FE) boundary integral equation (BIE) formulations are widely used because of their ability to simulate large inhomogeneous structures in both open and bounded simulation domains by applying each method where it is the most efficient. However, some formulations suffer from breakdown frequencies at which the solution is not uniquely defined and errors are introduced due to internal resonances. In this paper, we investigate the occurrence of spurious solutions resulting from these resonances by using the concept of the Poincare-Steklov or Dirichlet-to-Neumann operator, which provides a relation between the tangential electric field and the electric current on the boundary of a domain. By identifying this operator in both the FE and BIE method, several new properties of internal resonances in 3-D hybrid FE-BIE formulations are easily derived. Several conformal and nonconformal formulations are studied and the theory is then applied to a scattering problem.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
INTERIOR RESONANCES, ELECTROMAGNETIC SCATTERING, FINITE-ELEMENT, BOUNDARY-INTEGRAL METHODS, EQUATION, BODIES, MESHES, EFIE, Dirichlet-to-Neumann (DtN), hybrid finite-element boundary-integral equation (FE-BIE), internal resonances, Poincare-Steklov (PS)
journal title
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
IEEE Trans. Microw. Theory Tech.
volume
61
issue
10
pages
3503 - 3513
Web of Science type
Article
Web of Science id
000325764600002
JCR category
ENGINEERING, ELECTRICAL & ELECTRONIC
JCR impact factor
2.943 (2013)
JCR rank
30/248 (2013)
JCR quartile
1 (2013)
ISSN
0018-9480
DOI
10.1109/TMTT.2013.2277990
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
4228182
handle
http://hdl.handle.net/1854/LU-4228182
date created
2014-01-10 12:56:44
date last changed
2016-12-19 15:42:46
@article{4228182,
  abstract     = {3-D hybrid finite-element (FE) boundary integral equation (BIE) formulations are widely used because of their ability to simulate large inhomogeneous structures in both open and bounded simulation domains by applying each method where it is the most efficient. However, some formulations suffer from breakdown frequencies at which the solution is not uniquely defined and errors are introduced due to internal resonances. In this paper, we investigate the occurrence of spurious solutions resulting from these resonances by using the concept of the Poincare-Steklov or Dirichlet-to-Neumann operator, which provides a relation between the tangential electric field and the electric current on the boundary of a domain. By identifying this operator in both the FE and BIE method, several new properties of internal resonances in 3-D hybrid FE-BIE formulations are easily derived. Several conformal and nonconformal formulations are studied and the theory is then applied to a scattering problem.},
  author       = {Boeykens, Freek and Rogier, Hendrik and Van Hese, Jan and Sercu, Jeannick and Boonen, Tim},
  issn         = {0018-9480},
  journal      = {IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES},
  keyword      = {INTERIOR RESONANCES,ELECTROMAGNETIC SCATTERING,FINITE-ELEMENT,BOUNDARY-INTEGRAL METHODS,EQUATION,BODIES,MESHES,EFIE,Dirichlet-to-Neumann (DtN),hybrid finite-element boundary-integral equation (FE-BIE),internal resonances,Poincare-Steklov (PS)},
  language     = {eng},
  number       = {10},
  pages        = {3503--3513},
  title        = {Rigorous analysis of internal resonances in 3-D hybrid FE-BIE formulations by means of the Poincar{\'e}-Steklov operator},
  url          = {http://dx.doi.org/10.1109/TMTT.2013.2277990},
  volume       = {61},
  year         = {2013},
}

Chicago
Boeykens, Freek, Hendrik Rogier, Jan Van Hese, Jeannick Sercu, and Tim Boonen. 2013. “Rigorous Analysis of Internal Resonances in 3-D Hybrid FE-BIE Formulations by Means of the Poincaré-Steklov Operator.” Ieee Transactions on Microwave Theory and Techniques 61 (10): 3503–3513.
APA
Boeykens, F., Rogier, H., Van Hese, J., Sercu, J., & Boonen, T. (2013). Rigorous analysis of internal resonances in 3-D hybrid FE-BIE formulations by means of the Poincaré-Steklov operator. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 61(10), 3503–3513.
Vancouver
1.
Boeykens F, Rogier H, Van Hese J, Sercu J, Boonen T. Rigorous analysis of internal resonances in 3-D hybrid FE-BIE formulations by means of the Poincaré-Steklov operator. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 2013;61(10):3503–13.
MLA
Boeykens, Freek, Hendrik Rogier, Jan Van Hese, et al. “Rigorous Analysis of Internal Resonances in 3-D Hybrid FE-BIE Formulations by Means of the Poincaré-Steklov Operator.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 61.10 (2013): 3503–3513. Print.