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

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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.

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Citation

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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.
@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},
}

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