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All issues Volume 50 / No 1 (January-February 2016) ESAIM: M2AN, 50 1 (2016) 43-75 References
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Issue
ESAIM: M2AN
Volume 50, Number 1, January-February 2016
Page(s) 43 - 75
DOI https://doi.org/10.1051/m2an/2015030
Published online 09 November 2015
  1. H. Ammari and C. Latiri-Grouz, Conditions aux limites approchées pour les couches minces périodiques. ESAIM: M2AN 33 (1999) 673–692. [CrossRef] [EDP Sciences] [Google Scholar]
  2. X. Antoine and H. Barucq, Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. ESAIM: M2AN 39 (2005) 1041–1059. [CrossRef] [EDP Sciences] [Google Scholar]
  3. A. Bendali and K. Lemrabet, The effect of a thin coating on the scattering of a time-harmonic wave for the helmholtz equation. SIAM J. Appl. Math. 56 (1996) 1664–1693. [CrossRef] [MathSciNet] [Google Scholar]
  4. I. Bihari, A generalization of a lemma of bellman and its application to uniqueness problems of differential equations. Acta Math. Hungarica 7 (1956) 81–94. [CrossRef] [Google Scholar]
  5. S. Chun, H. Haddar J.S. Hesthaven, High-order accurate thin layer approximations for time-domain electromagnetics, part ii: transmission layers. J. Comput. Appl. Math. 234 (2010) 2587–2608. [CrossRef] [MathSciNet] [Google Scholar]
  6. G Cohen, Higher-order numerical methods for transient wave equations. Springer-Verlag (2001). [Google Scholar]
  7. M. Dauge, S. Tordeux and G. Vial, Self-similar perturbation near a corner: matching versus multiscale expansions for a model problem. Around the Research of Vladimir Maz’ya II, Partial Differential Equations. Vol. 12 of International Mathematical Series. Springer (2010) 95–134. [Google Scholar]
  8. B. Delourme, H. Haddar and P. Joly, Approximate models for wave propagation across thin periodic interfaces. J. Math. pures Appl. 98 (2012) 28–71. [Google Scholar]
  9. B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves. Math. Comput. 31 (1977) 629–651. [Google Scholar]
  10. B. Engquist and J.-C. Nédélec, Effective boundary conditions for acoustic and electromagnetic scattering in thin layers. Technical report, Technical Report of CMAP, 278 (1993). [Google Scholar]
  11. L.C. Evans, Partial differential equations. American Mathematical Society (1998). [Google Scholar]
  12. G. Geymonat, S. Hendili, F. Krasucki and M. Vidrascu, Matched asymptotic expansion method for a homogenized interface model. 24 (2014) 573–597. [Google Scholar]
  13. D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order. Springer-Verlag (2001). [Google Scholar]
  14. H. Haddar and P. Joly, Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings. Stud. Math. Appl. 31 (2002) 415–456. [Google Scholar]
  15. H Haddar and P. Joly, Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. J. Comput. Appl. Math. 143 (2002) 201–236. [CrossRef] [MathSciNet] [Google Scholar]
  16. 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]
  17. P. Joly, Analyse et approximation de modèles de propagation d’ondes. analyse mathématique. Lecture notes, Ecole polytechnique, Palaiseau, France (2002). [Google Scholar]
  18. V. Maz’ya, S.A. Nazarov and B.A. Plamenevskii, Asymptotic theory of elliptic boundary value problems under a singular perturbation of the domains, vols. 1 and 2. Birkhaüser (2000). [Google Scholar]
  19. W. McLean, Strongly elliptic systems and boundary integral equations. Cambridge (2000). [Google Scholar]
  20. V. Péron, Equivalent boundary conditions for an elasto-acoustic problem set in a domain with a thin layer. ESAIM: M2AN 48 (2014) 1431–1449. [CrossRef] [EDP Sciences] [Google Scholar]
  21. K. Schmidt and A. Chernov, A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model. SIAM J. Appl. Math. 73 (2013) 1980–2003. [CrossRef] [MathSciNet] [Google Scholar]
  22. T.B.A. Senior and J.L. Volakis, Generalized impedance boundary conditions in scattering. Proc. IEEE 79 (1991) 1413–1420. [CrossRef] [Google Scholar]
  23. T.B.A Senior and J.L. Volakis, Approximate boundary conditions in electromagnetics. Institution of Electrical Engineers, London, UK (1995). [Google Scholar]
  24. L.N. Trefethen and L. Halpern, Well-posedness of one-way wave equations and absorbing boundary conditions. Math. Comput. 47 (1986) 421–435. [Google Scholar]

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