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The Poincaré-Steklov operator in hybrid finite element-boundary integral equation formulations

Pieterjan Demarcke UGent and Hendrik Rogier UGent (2011) IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS. 10. p.503-506
abstract
The Poincare-Steklov operator provides a direct relation between the tangential electric and magnetic field at the boundary of a simply connected domain, and a discrete equivalent of the operator can be constructed from the sparse finite element (FE) matrix of that domain by forming the Schur complement to eliminate the interior unknowns. Identifying the FE system matrix as a discretized version of the Poincare-Steklov operator allows us to describe and analyze FE and hybrid finite element-boundary integral equation (FE-BIE) formulations from an operator point of view. We show how this operator notation provides substantial theoretical insight into the analysis of spurious solutions in hybrid FE-BIE methods, and we apply the theory on a TM scattering example to predict the breakdown frequencies of different hybrid formulations.
Please use this url to cite or link to this publication:
author
organization
alternative title
The Poincare-Steklov operator in hybrid finite element-boundary integral equation formulations
year
type
journalArticle (original)
publication status
published
subject
keyword
hybrid methods, Electromagnetic scattering, FORM
journal title
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
IEEE Antennas Wirel. Propag. Lett.
volume
10
pages
503 - 506
Web of Science type
Article
Web of Science id
000291318900007
JCR category
TELECOMMUNICATIONS
JCR impact factor
1.374 (2011)
JCR rank
26/78 (2011)
JCR quartile
2 (2011)
ISSN
1536-1225
DOI
10.1109/LAWP.2011.2157072
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2029314
handle
http://hdl.handle.net/1854/LU-2029314
date created
2012-02-14 10:04:52
date last changed
2016-12-19 15:42:03
@article{2029314,
  abstract     = {The Poincare-Steklov operator provides a direct relation between the tangential electric and magnetic field at the boundary of a simply connected domain, and a discrete equivalent of the operator can be constructed from the sparse finite element (FE) matrix of that domain by forming the Schur complement to eliminate the interior unknowns. Identifying the FE system matrix as a discretized version of the Poincare-Steklov operator allows us to describe and analyze FE and hybrid finite element-boundary integral equation (FE-BIE) formulations from an operator point of view. We show how this operator notation provides substantial theoretical insight into the analysis of spurious solutions in hybrid FE-BIE methods, and we apply the theory on a TM scattering example to predict the breakdown frequencies of different hybrid formulations.},
  author       = {Demarcke, Pieterjan and Rogier, Hendrik},
  issn         = {1536-1225},
  journal      = {IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS},
  keyword      = {hybrid methods,Electromagnetic scattering,FORM},
  language     = {eng},
  pages        = {503--506},
  title        = {The Poincar{\'e}-Steklov operator in hybrid finite element-boundary integral equation formulations},
  url          = {http://dx.doi.org/10.1109/LAWP.2011.2157072},
  volume       = {10},
  year         = {2011},
}

Chicago
Demarcke, Pieterjan, and Hendrik Rogier. 2011. “The Poincaré-Steklov Operator in Hybrid Finite Element-boundary Integral Equation Formulations.” Ieee Antennas and Wireless Propagation Letters 10: 503–506.
APA
Demarcke, P., & Rogier, H. (2011). The Poincaré-Steklov operator in hybrid finite element-boundary integral equation formulations. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 10, 503–506.
Vancouver
1.
Demarcke P, Rogier H. The Poincaré-Steklov operator in hybrid finite element-boundary integral equation formulations. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS. 2011;10:503–6.
MLA
Demarcke, Pieterjan, and Hendrik Rogier. “The Poincaré-Steklov Operator in Hybrid Finite Element-boundary Integral Equation Formulations.” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS 10 (2011): 503–506. Print.