A multiplicative Calderon preconditioner for the electric field integral equation

Francesco P. Andriulli; Kristof Cools; H. Baǧci; Femke Olyslager; Annalisa Buffa; Snorre Christiansen; Eric Michielssen

doi:10.1109/TAP.2008.926788

A multiplicative Calderon preconditioner for the electric field integral equation

Francesco P. Andriulli^*, Kristof Cools, H. Baǧci, Femke Olyslager, Annalisa Buffa, Snorre Christiansen, Eric Michielssen

^*Corresponding author for this work

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

406 Scopus citations

Abstract

In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density.

Original language	English (US)
Pages (from-to)	2398-2412
Number of pages	15
Journal	IEEE Transactions on Antennas and Propagation
Volume	56
Issue number	8 I
DOIs	https://doi.org/10.1109/TAP.2008.926788
State	Published - 2008
Externally published	Yes

Keywords

Electric field integral equation (EFIE)
Integral equations
Numerical methods
Preconditioning

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2008.926788

Cite this

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title = "A multiplicative Calderon preconditioner for the electric field integral equation",

abstract = "In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calder{\'o}n identities is presented. In contrast to all previous Calder{\'o}n preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density.",

keywords = "Electric field integral equation (EFIE), Integral equations, Numerical methods, Preconditioning",

author = "Andriulli, {Francesco P.} and Kristof Cools and H. Baǧci and Femke Olyslager and Annalisa Buffa and Snorre Christiansen and Eric Michielssen",

note = "Funding Information: Manuscript received September 7, 2007; revised December 13, 2007. Published August 6, 2008 (projected). This work was supported by the Air Force Office of Scientific Research under Grant MURI F014432-051936, by the National Science Foundations under Grant DMS 0713771, by the Defense Advanced Research Projects Agency under Grant DSO/AFOSR F015123-052587, and by the Semiconductor Research Corporation under Grant 2006-01385-01.",

year = "2008",

doi = "10.1109/TAP.2008.926788",

language = "English (US)",

volume = "56",

pages = "2398--2412",

journal = "IEEE Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "8 I",

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T1 - A multiplicative Calderon preconditioner for the electric field integral equation

AU - Andriulli, Francesco P.

AU - Cools, Kristof

AU - Baǧci, H.

AU - Olyslager, Femke

AU - Buffa, Annalisa

AU - Christiansen, Snorre

AU - Michielssen, Eric

N1 - Funding Information: Manuscript received September 7, 2007; revised December 13, 2007. Published August 6, 2008 (projected). This work was supported by the Air Force Office of Scientific Research under Grant MURI F014432-051936, by the National Science Foundations under Grant DMS 0713771, by the Defense Advanced Research Projects Agency under Grant DSO/AFOSR F015123-052587, and by the Semiconductor Research Corporation under Grant 2006-01385-01.

PY - 2008

Y1 - 2008

N2 - In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density.

AB - In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by leveraging Calderón identities is presented. In contrast to all previous Calderón preconditioners, the proposed preconditioner is purely multiplicative in nature, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing method of moments (MoM) code. Numerical results demonstrate that the MoM EFIE system obtained using the proposed preconditioning converges rapidly, independently of the discretization density.

KW - Electric field integral equation (EFIE)

KW - Integral equations

KW - Numerical methods

KW - Preconditioning

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SP - 2398

EP - 2412

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 8 I

ER -

A multiplicative Calderon preconditioner for the electric field integral equation

Abstract

Keywords

ASJC Scopus subject areas

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