Marching on-in-time solution of the time domain magnetic field integral equation using a predictor-corrector scheme

Huseyin Arda Ulku; Hakan Bagci; Eric Michielssen

doi:10.1109/TAP.2013.2262016

Marching on-in-time solution of the time domain magnetic field integral equation using a predictor-corrector scheme

Huseyin Arda Ulku, Hakan Bagci, Eric Michielssen

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

35 Scopus citations

Abstract

An explicit marching on-in-time (MOT) scheme for solving the time-domain magnetic field integral equation (TD-MFIE) is presented. The proposed MOT-TD-MFIE solver uses Rao-Wilton-Glisson basis functions for spatial discretization and a PE(CE)m-type linear multistep method for time marching. Unlike previous explicit MOT-TD-MFIE solvers, the time step size can be chosen as large as that of the implicit MOT-TD-MFIE solvers without adversely affecting accuracy or stability. An algebraic stability analysis demonstrates the stability of the proposed explicit solver; its accuracy and efficiency are established via numerical examples. © 1963-2012 IEEE.

Original language	English (US)
Pages (from-to)	4120-4131
Number of pages	12
Journal	IEEE Transactions on Antennas and Propagation
Volume	61
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2013.2262016
State	Published - Aug 2013

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1109/TAP.2013.2262016

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title = "Marching on-in-time solution of the time domain magnetic field integral equation using a predictor-corrector scheme",

abstract = "An explicit marching on-in-time (MOT) scheme for solving the time-domain magnetic field integral equation (TD-MFIE) is presented. The proposed MOT-TD-MFIE solver uses Rao-Wilton-Glisson basis functions for spatial discretization and a PE(CE)m-type linear multistep method for time marching. Unlike previous explicit MOT-TD-MFIE solvers, the time step size can be chosen as large as that of the implicit MOT-TD-MFIE solvers without adversely affecting accuracy or stability. An algebraic stability analysis demonstrates the stability of the proposed explicit solver; its accuracy and efficiency are established via numerical examples. {\textcopyright} 1963-2012 IEEE.",

author = "Ulku, {Huseyin Arda} and Hakan Bagci and Eric Michielssen",

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

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doi = "10.1109/TAP.2013.2262016",

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AU - Ulku, Huseyin Arda

AU - Bagci, Hakan

AU - Michielssen, Eric

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

PY - 2013/8

Y1 - 2013/8

N2 - An explicit marching on-in-time (MOT) scheme for solving the time-domain magnetic field integral equation (TD-MFIE) is presented. The proposed MOT-TD-MFIE solver uses Rao-Wilton-Glisson basis functions for spatial discretization and a PE(CE)m-type linear multistep method for time marching. Unlike previous explicit MOT-TD-MFIE solvers, the time step size can be chosen as large as that of the implicit MOT-TD-MFIE solvers without adversely affecting accuracy or stability. An algebraic stability analysis demonstrates the stability of the proposed explicit solver; its accuracy and efficiency are established via numerical examples. © 1963-2012 IEEE.

AB - An explicit marching on-in-time (MOT) scheme for solving the time-domain magnetic field integral equation (TD-MFIE) is presented. The proposed MOT-TD-MFIE solver uses Rao-Wilton-Glisson basis functions for spatial discretization and a PE(CE)m-type linear multistep method for time marching. Unlike previous explicit MOT-TD-MFIE solvers, the time step size can be chosen as large as that of the implicit MOT-TD-MFIE solvers without adversely affecting accuracy or stability. An algebraic stability analysis demonstrates the stability of the proposed explicit solver; its accuracy and efficiency are established via numerical examples. © 1963-2012 IEEE.

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DO - 10.1109/TAP.2013.2262016

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JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 8

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Marching on-in-time solution of the time domain magnetic field integral equation using a predictor-corrector scheme

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