On the spectrum and preconditioning of electromagnetic volume integral equations

Johannes Markkanen; Pasi Ylä-Oijala; Seppo Järvenpää

doi:10.1109/URSI-EMTS.2016.7571533

On the spectrum and preconditioning of electromagnetic volume integral equations

Johannes Markkanen, Pasi Ylä-Oijala, Seppo Järvenpää

University of Helsinki

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

3 Citations (Scopus)

Abstract

Spectral properties of current-based volume integral equation of electromagnetic scattering are investigated in the case of isotropic and bi-isotropic objects. Using Helmholtz decomposition the spectrum is derived separately for the solenoidal, irrotational, and harmonic subspaces. Based on this analysis, preconditioning strategies of the matrix equation are discussed.

Original language	English
Title of host publication	Proceedings of the 2016 URSI Commission B International Symposium on Electromagnetic Theory, EMTS 2016
Publisher	IEEE
Pages	834-837
Number of pages	4
ISBN (Electronic)	9781509025022
DOIs	https://doi.org/10.1109/URSI-EMTS.2016.7571533
Publication status	Published - 19 Sept 2016
MoE publication type	A4 Conference publication
Event	URSI International Symposium on Electromagnetic Theory - Aalto University, Espoo, Finland Duration: 14 Aug 2016 → 18 Aug 2016 http://www.emts2016.org/

Conference

Conference	URSI International Symposium on Electromagnetic Theory
Abbreviated title	EMTS
Country/Territory	Finland
City	Espoo
Period	14/08/2016 → 18/08/2016
Internet address	http://www.emts2016.org/

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10.1109/URSI-EMTS.2016.7571533

Cite this

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title = "On the spectrum and preconditioning of electromagnetic volume integral equations",

abstract = "Spectral properties of current-based volume integral equation of electromagnetic scattering are investigated in the case of isotropic and bi-isotropic objects. Using Helmholtz decomposition the spectrum is derived separately for the solenoidal, irrotational, and harmonic subspaces. Based on this analysis, preconditioning strategies of the matrix equation are discussed.",

author = "Johannes Markkanen and Pasi Yl{\"a}-Oijala and Seppo J{\"a}rvenp{\"a}{\"a}",

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doi = "10.1109/URSI-EMTS.2016.7571533",

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booktitle = "Proceedings of the 2016 URSI Commission B International Symposium on Electromagnetic Theory, EMTS 2016",

publisher = "IEEE",

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note = "URSI International Symposium on Electromagnetic Theory, EMTS ; Conference date: 14-08-2016 Through 18-08-2016",

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Markkanen, J, Ylä-Oijala, P & Järvenpää, S 2016, On the spectrum and preconditioning of electromagnetic volume integral equations. in Proceedings of the 2016 URSI Commission B International Symposium on Electromagnetic Theory, EMTS 2016 ., 7571533, IEEE, pp. 834-837, URSI International Symposium on Electromagnetic Theory, Espoo, Finland, 14/08/2016. https://doi.org/10.1109/URSI-EMTS.2016.7571533

On the spectrum and preconditioning of electromagnetic volume integral equations. / Markkanen, Johannes; Ylä-Oijala, Pasi; Järvenpää, Seppo.
Proceedings of the 2016 URSI Commission B International Symposium on Electromagnetic Theory, EMTS 2016 . IEEE, 2016. p. 834-837 7571533.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Ylä-Oijala, Pasi

AU - Järvenpää, Seppo

PY - 2016/9/19

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N2 - Spectral properties of current-based volume integral equation of electromagnetic scattering are investigated in the case of isotropic and bi-isotropic objects. Using Helmholtz decomposition the spectrum is derived separately for the solenoidal, irrotational, and harmonic subspaces. Based on this analysis, preconditioning strategies of the matrix equation are discussed.

AB - Spectral properties of current-based volume integral equation of electromagnetic scattering are investigated in the case of isotropic and bi-isotropic objects. Using Helmholtz decomposition the spectrum is derived separately for the solenoidal, irrotational, and harmonic subspaces. Based on this analysis, preconditioning strategies of the matrix equation are discussed.

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M3 - Conference article in proceedings

AN - SCOPUS:84992111032

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BT - Proceedings of the 2016 URSI Commission B International Symposium on Electromagnetic Theory, EMTS 2016

PB - IEEE

T2 - URSI International Symposium on Electromagnetic Theory

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On the spectrum and preconditioning of electromagnetic volume integral equations

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