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A well-conditioned time domain EFIE for densely discretized low frequency problems

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Abstract
The time domain electric field integral equation (TD-EFIE) models transient scattering by perfect electric conductors. Upon discretization, this equation yields an ill-conditioned system matrix when the time step is large (low frequency breakdown), or the mesh is dense (dense discretization breakdown). Furthermore, its solution suffers from spurious static loop currents (DC instability). The quasi-Helmholtz projected TD-EFIE (qHP-TDEFIE) is an alternative formulation of the TD-EFIE which is immune to both low frequency breakdown and DC instability. In this contribution, a multiplicative Calderon preconditioner is constructed for the qHP-TDEFIE, which renders it immune to dense discretization breakdown. This ensures that transient electromagnetic scattering problems can be solved efficiently and accurately, even for slowly varying fields in the presence of small geometrical features.
Keywords
SCATTERING, SURFACES

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Citation

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

Chicago
Beghein, Yves, Kristof Cools, and Francesco P Andriulli. 2015. “A Well-conditioned Time Domain EFIE for Densely Discretized Low Frequency Problems.” In PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) , 962–965. IEEE.
APA
Beghein, Y., Cools, K., & Andriulli, F. P. (2015). A well-conditioned time domain EFIE for densely discretized low frequency problems. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) (pp. 962–965). 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, Cools K, Andriulli FP. A well-conditioned time domain EFIE for densely discretized low frequency problems. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) . IEEE; 2015. p. 962–5.
MLA
Beghein, Yves, Kristof Cools, and Francesco P Andriulli. “A Well-conditioned Time Domain EFIE for Densely Discretized Low Frequency Problems.” PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA) . IEEE, 2015. 962–965. Print.
@inproceedings{7047087,
  abstract     = {The time domain electric field integral equation (TD-EFIE) models transient scattering by perfect electric conductors. Upon discretization, this equation yields an ill-conditioned system matrix when the time step is large (low frequency breakdown), or the mesh is dense (dense discretization breakdown). Furthermore, its solution suffers from spurious static loop currents (DC instability). The quasi-Helmholtz projected TD-EFIE (qHP-TDEFIE) is an alternative formulation of the TD-EFIE which is immune to both low frequency breakdown and DC instability. In this contribution, a multiplicative Calderon preconditioner is constructed for the qHP-TDEFIE, which renders it immune to dense discretization breakdown. This ensures that transient electromagnetic scattering problems can be solved efficiently and accurately, even for slowly varying fields in the presence of small geometrical features.},
  author       = {Beghein, Yves 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},
  keyword      = {SCATTERING,SURFACES},
  language     = {eng},
  location     = {Torino, Italy},
  pages        = {962--965},
  publisher    = {IEEE},
  title        = {A well-conditioned time domain EFIE for densely discretized low frequency problems},
  year         = {2015},
}

Web of Science
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