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Handling the low-frequency breakdown of the PMCHWT integral equation with the quasi-Helmholtz projectors

Yves Beghein, Rajendra Mitharwal, Kristof Cools and Francesco P Andriulli (2015) PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) . p.1534-1537
abstract
This contribution presents a quasi Helmholtz projectors based regularization of the low frequency breakdown of the PMCHWT integral equation. The PMCHWT equation in the low frequency regime shows an ill-conditioned behavior inherited from the Electric Field Integral Operators it contains. The stabilization via quasi-Helmholtz projectors, differently from the use of standard Loop-Star/Tree decompositions, does not introduce an additional mesh-size-related ill-conditioning and it applies smoothly to both simply and non-simply connected geometries. The presentation of the main formulation will he complemented by numerical results demonstrating the effectiveness and accuracy of the proposed scheme.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
in
PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA)
issue title
PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA)
pages
1534 - 1537
publisher
IEEE
conference name
17th International Conference on Electromagnetics in Advanced Applications (ICEAA) / 5th IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications (IEEE-APWC)
conference location
Torino, Italy
conference start
2015-09-07
conference end
2015-09-11
Web of Science id
000378428800302
ISBN
978-1-4799-7806-9
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
7047189
handle
http://hdl.handle.net/1854/LU-7047189
date created
2016-01-22 09:54:13
date last changed
2016-12-19 15:37:14
@inproceedings{7047189,
  abstract     = {This contribution presents a quasi Helmholtz projectors based regularization of the low frequency breakdown of the PMCHWT integral equation. The PMCHWT equation in the low frequency regime shows an ill-conditioned behavior inherited from the Electric Field Integral Operators it contains. The stabilization via quasi-Helmholtz projectors, differently from the use of standard Loop-Star/Tree decompositions, does not introduce an additional mesh-size-related ill-conditioning and it applies smoothly to both simply and non-simply connected geometries. The presentation of the main formulation will he complemented by numerical results demonstrating the effectiveness and accuracy of the proposed scheme.},
  author       = {Beghein, Yves and Mitharwal, Rajendra and Cools, Kristof and Andriulli, Francesco P},
  booktitle    = {PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) },
  isbn         = {978-1-4799-7806-9},
  language     = {eng},
  location     = {Torino, Italy},
  pages        = {1534--1537},
  publisher    = {IEEE},
  title        = {Handling the low-frequency breakdown of the PMCHWT integral equation with the quasi-Helmholtz projectors},
  year         = {2015},
}

Chicago
Beghein, Yves, Rajendra Mitharwal, Kristof Cools, and Francesco P Andriulli. 2015. “Handling the Low-frequency Breakdown of the PMCHWT Integral Equation with the quasi-Helmholtz Projectors.” In PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) , 1534–1537. IEEE.
APA
Beghein, Y., Mitharwal, R., Cools, K., & Andriulli, F. P. (2015). Handling the low-frequency breakdown of the PMCHWT integral equation with the quasi-Helmholtz projectors. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) (pp. 1534–1537). Presented at the 17th International Conference on Electromagnetics in Advanced Applications (ICEAA) / 5th IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications (IEEE-APWC) , IEEE.
Vancouver
1.
Beghein Y, Mitharwal R, Cools K, Andriulli FP. Handling the low-frequency breakdown of the PMCHWT integral equation with the quasi-Helmholtz projectors. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) . IEEE; 2015. p. 1534–7.
MLA
Beghein, Yves, Rajendra Mitharwal, Kristof Cools, et al. “Handling the Low-frequency Breakdown of the PMCHWT Integral Equation with the quasi-Helmholtz Projectors.” PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) . IEEE, 2015. 1534–1537. Print.