TY - JOUR UR - http://lib.ugent.be/catalog/pug01:5682926 ID - pug01:5682926 LA - eng TI - Low-frequency scaling of the standard and mixed magnetic field and Müller integral equations PY - 2014 JO - (2014) IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION SN - 0018-926X PB - 2014 AU - Bogaert, Ignace UGent 001999169491 801001844572 AU - Cools, Kristof AU - Andriulli, Francesco P AU - Bağci, Hakan AB - The standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Muller 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. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 5682926 | ||
005 | 20180813143451.0 | ||
008 | 140822s2014------------------------eng-- | ||
022 | a 0018-926X | ||
024 | a 000331294800034 2 wos | ||
024 | a 1854/LU-5682926 2 handle | ||
024 | a 10.1109/TAP.2013.2293783 2 doi | ||
040 | a UGent | ||
245 | a Low-frequency scaling of the standard and mixed magnetic field and Müller integral equations | ||
260 | c 2014 | ||
520 | a The standard and mixed discretizations for the magnetic field integral equation (MFIE) and the Muller 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. | ||
598 | a A1 | ||
700 | a Bogaert, Ignace u UGent 0 001999169491 0 801001844572 0 974829877146 9 F7136172-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Cools, Kristof | ||
700 | a Andriulli, Francesco P | ||
700 | a Bağci, Hakan | ||
650 | a Technology and Engineering | ||
653 | a mixed discretization | ||
653 | a magnetic field integral equation | ||
653 | a Muller integral equation | ||
653 | a DOMAIN | ||
653 | a COMPLEX | ||
653 | a ALGORITHM | ||
653 | a ACCURATE | ||
653 | a FORMULATION | ||
653 | a DISCRETIZATION | ||
653 | a Accuracy | ||
653 | a low-frequency stability | ||
773 | t IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION g IEEE Trans. Antennas Propag. 2014. 62 (2) p.822-831 q 62:2<822 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/5682926/file/5682957 z [ugent] y EM_1084.pdf | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/5682926/file/5682960 z [open] y EM_1084a.pdf | ||
920 | a article | ||
Z30 | x EA 1 TW05 | ||
922 | a UGENT-EA |
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