Analysis and regularization of the TD-EFIE low-frequency breakdown

Francesco P. Andriulli; Hakan Baǧci; Francesca Vipiana; Giuseppe Vecchi; Eric Michielssen

doi:10.1109/TAP.2009.2019887

Analysis and regularization of the TD-EFIE low-frequency breakdown

Francesco P. Andriulli^*, Hakan Baǧci, Francesca Vipiana, Giuseppe Vecchi, Eric Michielssen

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

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

33 Scopus citations

Abstract

Low-frequency breakdown phenomenon plaguing marching-on-in-time solutions of time domain electric field integral equations is analyzed and cured. A theoretical analysis of the breakdown identifies deficiencies in the treatments proposed to date. A scheme for eliminating low frequency breakdown phenomena that leverages hierarchical regularization is presented. It applies to arbitrary meshes and gives rise to linear systems that are better conditioned than those obtained with standard loop-star/tree bases. The scheme's analytical properties and numerical results demonstrate its efficacy in accelerating the iterative solution of the time domain electric field integral equations.

Original language	English (US)
Pages (from-to)	2034-2046
Number of pages	13
Journal	IEEE Transactions on Antennas and Propagation
Volume	57
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2009.2019887
State	Published - 2009

Bibliographical note

Funding Information:
Manuscript received December 27, 2007; revised October 13, 2008. Current version published July 09, 2009. This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds, by NSF Grant DMS 0713771, and in part by DARPA-DSO/AFOSR grant F015123-052587 aimed at constructing compressed scattering matrices and direct solvers.

Keywords

Electric field integral equation (EFIE)
Hierarchical methods
Integral equations
Marching on in time (MOT)
Numerical methods
Preconditioning
Time domain (TD)

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2009.2019887

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title = "Analysis and regularization of the TD-EFIE low-frequency breakdown",

abstract = "Low-frequency breakdown phenomenon plaguing marching-on-in-time solutions of time domain electric field integral equations is analyzed and cured. A theoretical analysis of the breakdown identifies deficiencies in the treatments proposed to date. A scheme for eliminating low frequency breakdown phenomena that leverages hierarchical regularization is presented. It applies to arbitrary meshes and gives rise to linear systems that are better conditioned than those obtained with standard loop-star/tree bases. The scheme's analytical properties and numerical results demonstrate its efficacy in accelerating the iterative solution of the time domain electric field integral equations.",

keywords = "Electric field integral equation (EFIE), Hierarchical methods, Integral equations, Marching on in time (MOT), Numerical methods, Preconditioning, Time domain (TD)",

author = "Andriulli, {Francesco P.} and Hakan Baǧci and Francesca Vipiana and Giuseppe Vecchi and Eric Michielssen",

note = "Funding Information: Manuscript received December 27, 2007; revised October 13, 2008. Current version published July 09, 2009. This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds, by NSF Grant DMS 0713771, and in part by DARPA-DSO/AFOSR grant F015123-052587 aimed at constructing compressed scattering matrices and direct solvers.",

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AU - Andriulli, Francesco P.

AU - Baǧci, Hakan

AU - Vipiana, Francesca

AU - Vecchi, Giuseppe

AU - Michielssen, Eric

N1 - Funding Information: Manuscript received December 27, 2007; revised October 13, 2008. Current version published July 09, 2009. This work was supported in part by AFOSR MURI Grant F014432-051936 aimed at modeling installed antennas and their feeds, by NSF Grant DMS 0713771, and in part by DARPA-DSO/AFOSR grant F015123-052587 aimed at constructing compressed scattering matrices and direct solvers.

PY - 2009

Y1 - 2009

N2 - Low-frequency breakdown phenomenon plaguing marching-on-in-time solutions of time domain electric field integral equations is analyzed and cured. A theoretical analysis of the breakdown identifies deficiencies in the treatments proposed to date. A scheme for eliminating low frequency breakdown phenomena that leverages hierarchical regularization is presented. It applies to arbitrary meshes and gives rise to linear systems that are better conditioned than those obtained with standard loop-star/tree bases. The scheme's analytical properties and numerical results demonstrate its efficacy in accelerating the iterative solution of the time domain electric field integral equations.

AB - Low-frequency breakdown phenomenon plaguing marching-on-in-time solutions of time domain electric field integral equations is analyzed and cured. A theoretical analysis of the breakdown identifies deficiencies in the treatments proposed to date. A scheme for eliminating low frequency breakdown phenomena that leverages hierarchical regularization is presented. It applies to arbitrary meshes and gives rise to linear systems that are better conditioned than those obtained with standard loop-star/tree bases. The scheme's analytical properties and numerical results demonstrate its efficacy in accelerating the iterative solution of the time domain electric field integral equations.

KW - Electric field integral equation (EFIE)

KW - Hierarchical methods

KW - Integral equations

KW - Marching on in time (MOT)

KW - Numerical methods

KW - Preconditioning

KW - Time domain (TD)

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SP - 2034

EP - 2046

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 7

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Analysis and regularization of the TD-EFIE low-frequency breakdown

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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