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dc.contributor.authorBogaert, Ignace
dc.contributor.authorCools, Kristof
dc.contributor.authorAndriulli, Francesco P.
dc.contributor.authorBagci, Hakan
dc.date.accessioned2015-08-03T11:47:00Z
dc.date.available2015-08-03T11:47:00Z
dc.date.issued2014-02
dc.identifier.citationBogaert, I., Cools, K., Andriulli, F. P., & Bagci, H. (2014). Low-Frequency Scaling of the Standard and Mixed Magnetic Field and Müller Integral Equations. IEEE Transactions on Antennas and Propagation, 62(2), 822–831. doi:10.1109/tap.2013.2293783
dc.identifier.issn0018926X
dc.identifier.doi10.1109/TAP.2013.2293783
dc.identifier.urihttp://hdl.handle.net/10754/563375
dc.description.abstractThe standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Müller integral equation (MUIE) are investigated in the context of low-frequency (LF) scattering problems involving simply connected scatterers. It is proved that, at low frequencies, the frequency scaling of the nonsolenoidal part of the solution current can be incorrect for the standard discretization. In addition, it is proved that the frequency scaling obtained with the mixed discretization is correct. The reason for this problem in the standard discretization scheme is the absence of exact solenoidal currents in the rotated RWG finite element space. The adoption of the mixed discretization scheme eliminates this problem and leads to a well-conditioned system of linear equations that remains accurate at low frequencies. Numerical results confirm these theoretical predictions and also show that, when the frequency is lowered, a finer and finer mesh is required to keep the accuracy constant with the standard discretization. © 1963-2012 IEEE.
dc.description.sponsorshipThe work of I. Bogaert was supported by a postdoctoral grant from the Fund for Scientific Research Flanders (FWO-Vlaanderen).
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectAccuracy
dc.subjectLow-frequency stability
dc.subjectMagnetic field integral equation
dc.subjectMixed discretization
dc.subjectMüller integral equation
dc.titleLow-frequency scaling of the standard and mixed magnetic field and Müller integral equations
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputational Electromagnetics Laboratory
dc.identifier.journalIEEE Transactions on Antennas and Propagation
dc.contributor.institutionDepartment of Information Technology, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium
dc.contributor.institutionElectrical Systems and Optics Research Division, University of Nottingham, Nottingham NG7 2RD, United Kingdom
dc.contributor.institutionMicrowave Department, Telecom Bretagne-Institut Mines-Telecom, Brest, France
kaust.personBagci, Hakan


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