Explicit solution of the time domain volume integral equation using a stable predictor-corrector scheme

Ahmed Al Jarro; Mohamed Salem; Hakan Bagci; Trevor Benson; Phillip D. Sewell; Ana Vuković

doi:10.1109/TAP.2012.2207691

Explicit solution of the time domain volume integral equation using a stable predictor-corrector scheme

Ahmed Al Jarro, Mohamed Salem, Hakan Bagci, Trevor Benson, Phillip D. Sewell, Ana Vuković

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

23 Scopus citations

Abstract

An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the explicit predictor scheme. The proposedmethod is computationally more efficient when compared to the existing filtering techniques used for the stabilization of explicit MOT schemes. Numerical results presented in this paper demonstrate that the proposed method maintains its stability even when applied to the analysis of electromagnetic wave interactions with electrically large structures meshed using approximately half a million discretization elements.

Original language	English (US)
Pages (from-to)	5203-5214
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	11
DOIs	https://doi.org/10.1109/TAP.2012.2207691
State	Published - Nov 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices."

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1109/TAP.2012.2207691

Cite this

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title = "Explicit solution of the time domain volume integral equation using a stable predictor-corrector scheme",

abstract = "An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the explicit predictor scheme. The proposedmethod is computationally more efficient when compared to the existing filtering techniques used for the stabilization of explicit MOT schemes. Numerical results presented in this paper demonstrate that the proposed method maintains its stability even when applied to the analysis of electromagnetic wave interactions with electrically large structures meshed using approximately half a million discretization elements.",

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AU - Al Jarro, Ahmed

AU - Salem, Mohamed

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AU - Benson, Trevor

AU - Sewell, Phillip D.

AU - Vuković, Ana

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by an Academic Excellence Alliance program award from the King Abdullah University of Science and Technology (KAUST) Global Collaborative Research under the title "Energy Efficient Photonic and Spintronic Devices."

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Explicit solution of the time domain volume integral equation using a stable predictor-corrector scheme

Abstract

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