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All issues Volume 48 / No 4 (July-August 2014) ESAIM: M2AN, 48 4 (2014) 1011-1027 References
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Issue
ESAIM: M2AN
Volume 48, Number 4, July-August 2014
Page(s) 1011 - 1027
DOI https://doi.org/10.1051/m2an/2013131
Published online 30 June 2014
  1. H. Ammari and J.C. Nedelec, Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems. Commun. Partial Differ. Equ. 24 (1999) 24−38. [Google Scholar]
  2. B. Aslanyürek, H. Haddar and H. Şahintürk, Generalized impedance boundary conditions for thin dielectric coatings with variable thickness. Wave Motion 48 (2011) 681−700. [CrossRef] [Google Scholar]
  3. L. Bourgeois, N. Chaulet and H. Haddar, Stable reconstruction of generalized impedance boundary conditions. Inverse Probl. 27 (2011) 19−38. [Google Scholar]
  4. L. Bourgeois, N. Chaulet and H. Haddar, On Simultaneous Identification of the Shape and Generalized Impedance Boundary Condition in Obstacle Scattering. SIAM J. Sci. Comput. 34 (2012) A1824–A1848. [CrossRef] [Google Scholar]
  5. L. Bourgeois and H. Haddar, Identification of generalized impedance boundary conditions in inverse scattering problems. Inverse Probl. Imaging 4 (2010) 26. [Google Scholar]
  6. M. Cayoren, I. Akduman, A. Yapar and L. Crocco, A new algorithm for the shape reconstruction of perfectly conducting objects. Inverse Probl. 23 (2007) 1087−1100. [CrossRef] [Google Scholar]
  7. R. Cicchetti, A class of exact and higer-order surface boundary conditions for layered structures. IEEE Trans. Antennas Propag. 44 (1996) 249−259. [CrossRef] [Google Scholar]
  8. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd edn. Springer, Berlin (1999). [Google Scholar]
  9. M. Duruflé, H. Haddar and P. Joly, Higher Order Generalized Impedance Boundary Conditions in Electromagnetic Scattering Problems. C.R. Phys. 7 (2006) 533−542. [CrossRef] [Google Scholar]
  10. H. Haddar, P. Joly and H.M. Nguyen, Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Math. Models Methods Appl. Sci. 15 (2005) 1273−1300. [CrossRef] [MathSciNet] [Google Scholar]
  11. H. Haddar, P. Joly and H.M. Nguyen, Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Math. Models Methods Appl. Sci. 18 (2008) 1787−1827. [CrossRef] [MathSciNet] [Google Scholar]
  12. H. Haddar and A. Lechleiter, Asymptotic models for scattering from unbounded media with high conductivity. Math. Mod. Numer. Anal. 44 (2010) 1295−1317. [CrossRef] [EDP Sciences] [Google Scholar]
  13. L. He, S. Kindermann and M. Sini, Reconstruction of shapes and impedance functions using few far-field measurements. J. Comput. Phys. 228 (2009) 717−730. [CrossRef] [Google Scholar]
  14. J.L. Holloway, E.F. Kuester, Impedance-type boundary conditions for a periodic interface between a dielectric and a highly conducting medium. IEEE Trans. Antennas Propag. 48 (2000) 1660–1672. [CrossRef] [Google Scholar]
  15. J. Kaipio and E. Somersalo, Statistical and Computational Inverse Problems 1st edn. Springer, New York (2004). [Google Scholar]
  16. I. Knowles, A variational algorithm for electrical impedance tomography. Inverse Probl. 14 (1998) 1513−1525. [CrossRef] [Google Scholar]
  17. I. Knowles, Parameter identification for elliptic problems. J. Comput. Appl. Math. 131 (2001) 175–194. [CrossRef] [Google Scholar]
  18. M.J. Kong and B. Beker, Computation of resonant frequencies of cylindrical ferrite resonators using GIBCs. IEEE Trans. Microwave Theory Tech. 46 (1998) 1503–1507. [CrossRef] [Google Scholar]
  19. J.J. Liu, G. Nakamura and M. Sini, Reconstruction of the shape and surface impedance from acoustic scattering data for an arbitrary cylinder. SIAM J. Appl. Math. 67 (2007) 1124−1146. [CrossRef] [Google Scholar]
  20. M. Ljalinov, Generalized impedance boundary conditions and model of a point conductor. Radio Sci. 30 (1995) 1777−1786. [CrossRef] [Google Scholar]
  21. O. Marceaux and B. Stupfel, Higher order impedance boundary conditions for multilayer coated 3-D objects. IEEE Trans. Antennas Propag. 46 (2000) 429−436. [CrossRef] [Google Scholar]
  22. O. Ozdemir, I. Akduman, A. Yapar and L. Crocco, Higher order inhomogeneous impedance boundary conditions for perfectly conducting objects. IEEE Trans. Geosci. Remote Sens. 45 (2007) 1291–1297. [CrossRef] [Google Scholar]
  23. O. Ozdemir, H. Haddar and A. Yaka, Reconstruction of the electromagnetic field in layered media using the concept of approximate transmission conditions. IEEE Trans. Antennas Propag. 59 (2011) 2964−2972. [CrossRef] [Google Scholar]
  24. H.Y. Pao, Z. Zhu and S.L. Dvarok, Exact, closed-form representation for the time-domain surface impedances of a homogeneous, lossy half-space. IEEE Trans. Antennas Propag. 52 (2004) 2659−2665. [CrossRef] [Google Scholar]
  25. J.R. Poirier, A. Bendali and P. Borderies, Impedance boundary conditions for the scattering of time-harmonic waves by rapidly varying surfaces. IEEE Trans. Antennas Propag. 54 (2006) 995−1005. [Google Scholar]
  26. Z.G. Qian, W.C. Chew and R. Suaya, Generalized impedance boundary condition for conductor modeling in surface integral equation. IEEE Trans. Microwave Theory Tech. 55 (2007) 2354−2364. [CrossRef] [Google Scholar]
  27. Z.G. Qian, M.S. Tong and W.C. Chew, Conductive medium modeling with an augmented GIBC formulation. PIER 99 (2009) 261−272. [CrossRef] [Google Scholar]
  28. C.R. Rao, Linear Statistical Inference and Its Applications 2nd edn. Wiley, New York (1973). [Google Scholar]
  29. R.G. Rojas, Generalized impedance boundary conditions for EM scattering problems. Electron Lett. 24 (1998) 1093−1094. [CrossRef] [Google Scholar]
  30. R.G. Rojas, Z. Al-hekail, Generalized impedance/resistive boundary conditions for EM scattering problems. Radio Sci. 24 (1989) 1−12. [CrossRef] [Google Scholar]
  31. K. Schmidt and S. Tordeux, High order transmission conditions for thin conductive sheets in magneto-quasistatics. Math. Mod. Numer. Anal. 45 (2011) 1115−1140. [CrossRef] [EDP Sciences] [Google Scholar]
  32. T.B.A. Senior, J.L. Volakis and S.R. Legault, Higher order impedance and absorbing boundary conditions. IEEE Trans. Antennas Propag. 45 (1997) 107−114. [CrossRef] [Google Scholar]
  33. M. Yousefi, S.K. Chaudhuri and S. Safavi-Naeini, GIBC formulation for the resonant frequencies and field distribution of a substrate-mounted dielectric resonator. IEEE Trans. Antennas Propag. 42 (1994) 38−46. [CrossRef] [Google Scholar]
  34. S. Yuferev, L. Proekt and N. Ida, Surface impedance boundary conditions near corners and edges: Rigorous consideration. IEEE Trans. Magn. 37 (2001) 3466−3468. [CrossRef] [Google Scholar]

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