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dc.contributor.authorChen, Rui
dc.contributor.authorSayed, Sadeed B
dc.contributor.authorUlku, H. Arda
dc.contributor.authorBagci, Hakan
dc.date.accessioned2020-07-28T06:05:08Z
dc.date.available2020-07-28T06:05:08Z
dc.date.issued2020-07-27
dc.identifier.citationChen, R., Sayed, S. B., Ulku, H. A., & Bagci, H. (2020). An Explicit Time Marching Scheme for Efficient Solution of the Magnetic Field Integral Equation at Low Frequencies. IEEE Transactions on Antennas and Propagation, 1–1. doi:10.1109/tap.2020.3010997
dc.identifier.issn1558-2221
dc.identifier.doi10.1109/TAP.2020.3010997
dc.identifier.urihttp://hdl.handle.net/10754/664444
dc.description.abstractAn explicit marching-on-in-time (MOT) scheme to efficiently solve the time domain magnetic field integral equation (TD-MFIE) with a large time step size (under a low-frequency excitation) is developed. The proposed scheme spatially expands the current using high-order nodal functions defined on curvilinear triangles discretizing the scatterer surface. Applying Nyström discretization, which uses this expansion, to the TD-MFIE, which is written as an ordinary differential equation (ODE) by separating self-term contribution, yields a system of ODEs in unknown time-dependent expansion coefficients. A predictor-corrector method is used to integrate this system for samples of these coefficients. Since the Gram matrix arising from the Nyström discretization is blockdiagonal, the resulting MOT scheme replaces the matrix “inversion” required at each time step by a product of the inverse block-diagonal Gram matrix and the right-hand side vector. It is shown that, upon convergence of the corrector updates, this explicit MOT scheme produces the same solution as its implicit counterpart, and is faster for large time step sizes.
dc.description.sponsorshipThis work was supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award No 2016-CRG5-2953.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://ieeexplore.ieee.org/document/9149799/
dc.relation.urlhttps://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9149799
dc.rightsThis work is licensed under a Creative Commons Attribution 4.0 License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMarching-on-in-time (MOT)
dc.subjectmagnetic field integral equation (MFIE)
dc.subjectNyström method
dc.subjectpredictor-corrector scheme
dc.titleAn Explicit Time Marching Scheme for Efficient Solution of the Magnetic Field Integral Equation at Low Frequencies
dc.typeArticle
dc.contributor.departmentComputational Electromagnetics Laboratory
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalIEEE Transactions on Antennas and Propagation
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Electronics Engineering, Gebze Technical University, Kocaeli 41400, Turkey.
kaust.personChen, Rui
kaust.personSayed, Sadeed Bin
kaust.personBagci, Hakan
kaust.grant.number2016-CRG5-2953
refterms.dateFOA2020-07-28T06:06:57Z
kaust.acknowledged.supportUnitOffice of Sponsored Research (OSR)
dc.date.published-online2020-07-27
dc.date.published-print2021-02


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