A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

Hakan Bagci; Francesco P. Andriulli; Kristof Cools; Femke Olyslager; Eric Michielssen

doi:10.1109/TAP.2010.2050419

A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

Hakan Bagci, Francesco P. Andriulli, Kristof Cools, Femke Olyslager, Eric Michielssen

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.

Original language	English (US)
Pages (from-to)	2680-2690
Number of pages	11
Journal	IEEE Transactions on Antennas and Propagation
Volume	58
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2010.2050419
State	Published - Aug 2010

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1109/TAP.2010.2050419

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title = "A Calder{\'o}n multiplicative preconditioner for coupled surface-volume electric field integral equations",

abstract = "A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calder{\'o}n multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. {\textcopyright} 2006 IEEE.",

author = "Hakan Bagci and Andriulli, {Francesco P.} and Kristof Cools and Femke Olyslager and Eric Michielssen",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.",

year = "2010",

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doi = "10.1109/TAP.2010.2050419",

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T1 - A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

AU - Bagci, Hakan

AU - Andriulli, Francesco P.

AU - Cools, Kristof

AU - Olyslager, Femke

AU - Michielssen, Eric

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds and in part by NSF Grant DMS 0713771.

PY - 2010/8

Y1 - 2010/8

N2 - A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.

AB - A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme. © 2006 IEEE.

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DO - 10.1109/TAP.2010.2050419

M3 - Article

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 8

ER -

A Calderón multiplicative preconditioner for coupled surface-volume electric field integral equations

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