@article{M2AN_1994__28_2_223_0, author = {de La Bourdonnaye, Armel}, title = {High frequency approximation of integral equations modeling scattering phenomena}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {223--241}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {28}, number = {2}, year = {1994}, mrnumber = {1267199}, zbl = {0822.65124}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1994__28_2_223_0/} }
TY - JOUR AU - de La Bourdonnaye, Armel TI - High frequency approximation of integral equations modeling scattering phenomena JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1994 SP - 223 EP - 241 VL - 28 IS - 2 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1994__28_2_223_0/ LA - en ID - M2AN_1994__28_2_223_0 ER -
%0 Journal Article %A de La Bourdonnaye, Armel %T High frequency approximation of integral equations modeling scattering phenomena %J ESAIM: Modélisation mathématique et analyse numérique %D 1994 %P 223-241 %V 28 %N 2 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1994__28_2_223_0/ %G en %F M2AN_1994__28_2_223_0
de La Bourdonnaye, Armel. High frequency approximation of integral equations modeling scattering phenomena. ESAIM: Modélisation mathématique et analyse numérique, Tome 28 (1994) no. 2, pp. 223-241. http://archive.numdam.org/item/M2AN_1994__28_2_223_0/
[1] Fast wavelet transforms and numerical algorithms I, Comm. Pure Appl. Math., XLIV, pp. 141-183. | MR | Zbl
, and , 1991,[2] Sparse approximation for solving integral equations with oscillatory kernels, Siam J. Sci. Stat. Comput., 13. | MR | Zbl
, 1992,[3] Introduction à la théorie des équations aux dérivées partielles linéaires, Paris, Gauthier-Villars. | MR | Zbl
and , 1981,[4] Pure and Applied Mathematics. | Zbl
and , 1993, Integral equation method in scattering theory,[5] Accélération du traitement numérique de l'équation de Helmholtz par équations intégrales et parallélisation, thèse de doctorat, Ecole polytechnique, Palaiseau, France.
, 1991,[6] Fourier integral operators, Courant Institute of Mathematical Sciences, New York. | MR | Zbl
, 1973,[7] The distribution of currents induced by a plane wave on the surface of a conductor, J. Phys., 10, 130-136. | MR | Zbl
, 1946,[8] Remarks on a paper of D. Ludwig, Bull, of the A.M.S. 79. | MR | Zbl
and , 1973,[9] 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 | Zbl
, 1981,[10] Uniform asymptotic expansion of the field scattered by a convex object at high frequencies, Comm. Pure Appl. Math., XX, 103-138. | MR | Zbl
, 1967,[11] Mixed finite elements in R3, Numer. Mathematik, 35. | Zbl
, 1980,[12] Special fonctions of mathematical physics, Birkhäuser, Basel Boston. | MR | Zbl
and , 1988,[13] Electromagnetic scattering by surface of arbitrary shape, I.E.E.E. Trans. on antennas and propagation, AP-30, 409-418.
, and , 1982,[14] Rapid solution of integral equations of scattering theory in two dimensions, Journal of Computational Physics, 86, 414-439. | MR | Zbl
, 1990,[15] 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
, , and , 1991,[16] Pseudo differential operators, vol. 34 of Princeton mathematical series, Princeton University Press, Princeton. | Zbl
, 1981,[17] A treatise on Bessel functions, Cambridge University Press, 1944. | JFM | MR
, 1944,