A marching-on-in-time hierarchical scheme for the solution of the time domain electric field integral equation

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

doi:10.1109/TAP.2007.910513

A marching-on-in-time hierarchical scheme for the solution of the time domain electric field integral equation

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

^*Corresponding author for this work

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

28 Scopus citations

Abstract

A spatially hierarchical current expansion is used to construct a marching-on-in-time based time domain electric field integral equation solver. The formulation gives rise to well-conditioned linear systems and is immune to time domain low-frequency breakdown phenomena. Numerical results that demonstrate the effectiveness of the proposed hierarchical approach in comparison with existing technologies are presented.

Original language	English (US)
Pages (from-to)	3734-3738
Number of pages	5
Journal	IEEE Transactions on Antennas and Propagation
Volume	55
Issue number	12
DOIs	https://doi.org/10.1109/TAP.2007.910513
State	Published - Dec 2007
Externally published	Yes

Keywords

Electric field integral equation (EFIE)
Electric field integral equations
Multiresolution techniques
Resolution
Time domain analysis
Wavelets

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2007.910513

Cite this

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title = "A marching-on-in-time hierarchical scheme for the solution of the time domain electric field integral equation",

abstract = "A spatially hierarchical current expansion is used to construct a marching-on-in-time based time domain electric field integral equation solver. The formulation gives rise to well-conditioned linear systems and is immune to time domain low-frequency breakdown phenomena. Numerical results that demonstrate the effectiveness of the proposed hierarchical approach in comparison with existing technologies are presented.",

keywords = "Electric field integral equation (EFIE), Electric field integral equations, Multiresolution techniques, Resolution, Time domain analysis, Wavelets",

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

note = "Funding Information: Manuscript received February 1, 2007; revised July 5, 2007. This work was supported in part by a grant from the Air Force Office of Scientific Research (MURI F014432-051936), the National Science Foundations (DMS 0713771), the Defense Advanced Research Projects Agency (DSO/AFOSR F015123-052587), and in part by the Semiconductor Research Corporation (2006-01385-01).",

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doi = "10.1109/TAP.2007.910513",

language = "English (US)",

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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 February 1, 2007; revised July 5, 2007. This work was supported in part by a grant from the Air Force Office of Scientific Research (MURI F014432-051936), the National Science Foundations (DMS 0713771), the Defense Advanced Research Projects Agency (DSO/AFOSR F015123-052587), and in part by the Semiconductor Research Corporation (2006-01385-01).

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N2 - A spatially hierarchical current expansion is used to construct a marching-on-in-time based time domain electric field integral equation solver. The formulation gives rise to well-conditioned linear systems and is immune to time domain low-frequency breakdown phenomena. Numerical results that demonstrate the effectiveness of the proposed hierarchical approach in comparison with existing technologies are presented.

AB - A spatially hierarchical current expansion is used to construct a marching-on-in-time based time domain electric field integral equation solver. The formulation gives rise to well-conditioned linear systems and is immune to time domain low-frequency breakdown phenomena. Numerical results that demonstrate the effectiveness of the proposed hierarchical approach in comparison with existing technologies are presented.

KW - Electric field integral equation (EFIE)

KW - Electric field integral equations

KW - Multiresolution techniques

KW - Resolution

KW - Time domain analysis

KW - Wavelets

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A marching-on-in-time hierarchical scheme for the solution of the time domain electric field integral equation

Abstract

Keywords

ASJC Scopus subject areas

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