An Explicit MOT Scheme for solving the Nyström-Discretized TD-MFIE

Rui Chen; Hakan Bagci

doi:10.1109/APUSNCURSINRSM.2018.8609242

An Explicit MOT Scheme for solving the Nyström-Discretized TD-MFIE

Rui Chen, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

A fully explicit marching-on-in-time scheme for solving the time domain magnetic field integral equation is proposed. The unknown current density induced on the surface of the scatterer is expanded using a higher-order Nyström method in space and Lagrange interpolation in time. The resulting system is cast in the form of an ordinary differential equation and integrated in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the proposed explicit scheme can use the same time step size as its implicit counterpart without sacrificing stability and is five times faster under low-frequency excitation (i.e., for large time step).

Original language	English (US)
Title of host publication	2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2443-2444
Number of pages	2
ISBN (Print)	9781538671023
DOIs	https://doi.org/10.1109/APUSNCURSINRSM.2018.8609242
State	Published - Jan 24 2019

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10.1109/APUSNCURSINRSM.2018.8609242

https://repository.kaust.edu.sa/bitstream/10754/631726/1/EM_aps2018_ver10_HB.pdf

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title = "An Explicit MOT Scheme for solving the Nystr{\"o}m-Discretized TD-MFIE",

abstract = "A fully explicit marching-on-in-time scheme for solving the time domain magnetic field integral equation is proposed. The unknown current density induced on the surface of the scatterer is expanded using a higher-order Nystr{\"o}m method in space and Lagrange interpolation in time. The resulting system is cast in the form of an ordinary differential equation and integrated in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the proposed explicit scheme can use the same time step size as its implicit counterpart without sacrificing stability and is five times faster under low-frequency excitation (i.e., for large time step).",

author = "Rui Chen and Hakan Bagci",

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AU - Chen, Rui

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2019/1/24

Y1 - 2019/1/24

N2 - A fully explicit marching-on-in-time scheme for solving the time domain magnetic field integral equation is proposed. The unknown current density induced on the surface of the scatterer is expanded using a higher-order Nyström method in space and Lagrange interpolation in time. The resulting system is cast in the form of an ordinary differential equation and integrated in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the proposed explicit scheme can use the same time step size as its implicit counterpart without sacrificing stability and is five times faster under low-frequency excitation (i.e., for large time step).

AB - A fully explicit marching-on-in-time scheme for solving the time domain magnetic field integral equation is proposed. The unknown current density induced on the surface of the scatterer is expanded using a higher-order Nyström method in space and Lagrange interpolation in time. The resulting system is cast in the form of an ordinary differential equation and integrated in time using a predictor-corrector scheme to obtain the unknown expansion coefficients. Numerical results demonstrate that the proposed explicit scheme can use the same time step size as its implicit counterpart without sacrificing stability and is five times faster under low-frequency excitation (i.e., for large time step).

UR - http://hdl.handle.net/10754/631726

UR - https://ieeexplore.ieee.org/document/8609242

UR - http://www.scopus.com/inward/record.url?scp=85061898230&partnerID=8YFLogxK

U2 - 10.1109/APUSNCURSINRSM.2018.8609242

DO - 10.1109/APUSNCURSINRSM.2018.8609242

M3 - Conference contribution

SN - 9781538671023

SP - 2443

EP - 2444

BT - 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

An Explicit MOT Scheme for solving the Nyström-Discretized TD-MFIE

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