Free Access
Volume 28, Number 2, 1994
Page(s) 223 - 241
Published online 31 January 2017
  1. G. BEYLKIN, R. COIFMAN and V. ROKHLIN, 1991, Fast wavelet transforms and numerical algorithms I, Comm. Pure Appl. Math., XLIV, pp. 141-183. [MR: 1085827] [Zbl: 0722.65022] [Google Scholar]
  2. F. X. CANNING, 1992, Sparse approximation for solving integral equations with oscillatory kernels, Siam J. Sci. Stat. Comput., 13. [MR: 1145176] [Zbl: 0749.65093] [Google Scholar]
  3. J. CHAZARAIN and A. PIRIOU, 1981, Introduction à la théorie des équations aux dérivées partielles linéaires, Paris, Gauthier-Villars. [MR: 598467] [Zbl: 0446.35001] [Google Scholar]
  4. P. COLTON and R. KRESS, 1993, Integral equation method in scattering theory, Pure and Applied Mathematics. [Zbl: 0522.35001] [Google Scholar]
  5. A. DE LA BOURDONNAYE, 1991, Accélération du traitement numérique de l'équation de Helmholtz par équations intégrales et parallélisation, thèse de doctorat, Ecole polytechnique, Palaiseau, France. [Google Scholar]
  6. J. J. DUISTERMAAT, 1973, Fourier integral operators, Courant Institute of Mathematical Sciences, New York. [MR: 451313] [Zbl: 0272.47028] [Google Scholar]
  7. V. FOCK, 1946, The distribution of currents induced by a plane wave on the surface of a conductor, J. Phys., 10, 130-136. [MR: 17661] [Zbl: 0063.01396] [Google Scholar]
  8. V. GUILLEMIN and D. SCHAEFFER, 1973, Remarks on a paper of D. Ludwig, Bull, of the A.M.S. 79. [MR: 410050] [Zbl: 0256.35008] [Google Scholar]
  9. M. HAMDI, 1981, Une formulation variationnelle par équations pour la résolution de l'équation de Helmholtz avec des conditions aux limites mixtes, C. R. Acad. Sc, Série II, t. 292, 17-20. [MR: 637242] [Zbl: 0479.76088] [Google Scholar]
  10. D. LUDWIG, 1967, Uniform asymptotic expansion of the field scattered by a convex object at high frequencies, Comm. Pure Appl. Math., XX, 103-138. [MR: 204032] [Zbl: 0154.12802] [Google Scholar]
  11. J. NEDELEC, 1980, Mixed finite elements in R3, Numer. Mathematik, 35. [EuDML: 186293] [Zbl: 0419.65069] [Google Scholar]
  12. A. F. NIKIFOROV and V. B. UVAROV, 1988, Special fonctions of mathematical physics, Birkhäuser, Basel Boston. [MR: 922041] [Zbl: 0624.33001] [Google Scholar]
  13. S. RAO, D. WILTON and A. GLISSON, 1982, Electromagnetic scattering by surface of arbitrary shape, I.E.E.E. Trans. on antennas and propagation, AP-30, 409-418. [Google Scholar]
  14. V. ROKHLIN, 1990, Rapid solution of integral equations of scattering theory in two dimensions, Journal of Computational Physics, 86, 414-439. [MR: 1036660] [Zbl: 0686.65079] [Google Scholar]
  15. B. STUPFEL, R. L. MARTRET, P. BONNEMASON and B. SCHEURER, 1991, Combined boundary-element and finite-element method for the scattering problem by axisymmetrical penetrable objects, in Mathematical and numerical aspects of wave propagation phenomena, G. Cohen, L. Halpern and P. Joly, eds., SIAM, 332-341. [MR: 1106007] [Google Scholar]
  16. M. TAYLOR, 1981, Pseudo differential operators, vol. 34 of Princeton mathematical series, Princeton University Press, Princeton. [Zbl: 0453.47026] [Google Scholar]
  17. G. N. WATSON, 1944, A treatise on Bessel functions, Cambridge University Press, 1944. [MR: 10746] [JFM: 48.0412.02] [Google Scholar]

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