Free access
Issue
ESAIM: M2AN
Volume 44, Number 6, November-December 2010
Page(s) 1295 - 1317
DOI http://dx.doi.org/10.1051/m2an/2010029
Published online 15 April 2010
  1. M. Artola and M. Cessenat, Diffraction d'une onde électromagnétique par un obstacle borné à permittivité et perméabilité élevées. C. R. Acad. Sci. Paris Sér. I Math. 314 (1992) 349–354.
  2. S.N. Chandler-Wilde and P. Monk, Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. SIAM. J. Math. Anal. 37 (2005) 598–618. [CrossRef] [MathSciNet]
  3. S.N. Chandler-Wilde and P. Monk, The pml for rough surface scattering. Appl. Numer. Math. 59 (2009) 2131–2154. [CrossRef] [MathSciNet]
  4. S.N. Chandler-Wilde and C.R. Ross, Scattering by rough surfaces: the Dirichlet problem for the Helmholtz equation in a non-locally perturbed half-plane. Math. Meth. Appl. Sci. 19 (1996) 959–976. [CrossRef]
  5. S.N. Chandler-Wilde, E. Heinemeyer and R. Potthast, Acoustic scattering by mildly rough surfaces in three dimensions. SIAM J. Appl. Math. 66 (2006) 1002–1026. [CrossRef] [MathSciNet]
  6. S.N. Chandler-Wilde, P. Monk and M. Thomas, The mathematics of scattering by unbounded, rough, inhomogeneous layers. J. Comput. Appl. Math. 204 (2007) 549–559. [CrossRef] [MathSciNet]
  7. P. Cummings and X. Feng, Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Math. Mod. Meth. Appl. Sci. 16 (2006) 139–160. [CrossRef] [MathSciNet]
  8. 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]
  9. H. Haddar, P. Joly and H.-M. Nguyen, Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Math. Mod. Meth. Appl. Sci. 15 (2005) 1273–1300. [CrossRef] [MathSciNet]
  10. F. Ihlenburg, Finite element analysis of acoustic scattering. Springer (1998).
  11. A. Lechleiter and S. Ritterbusch, A variational method for wave scattering from penetrable rough layers. IMA J. Appl. Math. (2009) doi:10.1093/imamat/hxp040.
  12. W. McLean, Strongly Elliptic Systems and Boundary Integral Operators. Cambridge University Press, Cambridge (2000).
  13. J.C. Nédélec, Acoustic and electromagnetic equations, Applied Mathematical Sciences 144. Springer-Verlag, Berlin (2001).
  14. S.M. Rytov, Calcul du skin-effet par la méthode des perturbations. J. Phys. USSR 2 (1940) 233–242.
  15. T.B.A. Senior and J.L. Volakis, Approximate boundary conditions in electromagnetics, IEE Electromagnetic waves series 41. The institution of Electrical Engineers, London (1995).
  16. B. Zhang and S.N. Chandler-Wilde, Integral equation methods for scattering by infinite rough surfaces. Math. Meth. Appl. Sci. 26 (2003) 463–488. [CrossRef]

Recommended for you