Solution of acoustic scattering problems by means of second kind integral equations
Tóm tắt
Từ khóa
Tài liệu tham khảo
Abramovitz, 1964
Atkinson, 1976
Banaugh, 1962, Scattering of Acoustic and Elastic Waves by Surfaces of Arbitrary Shape
Banaugh, 1964, Application of Integral Representations of Displacement Potentials in Elastodynamics, Northrop Ventura Report No. 2953
Banaugh, 1963, Diffraction of steady elastic waves by surfaces of arbitrary shape, J. Acoust. Soc. Amer., 35, 1590, 10.1121/1.1918764
Banaugh, 1963, Diffraction of steady elastic waves by surfaces of arbitrary shape, J. Appl. Mech., 589, 10.1115/1.3636624
Bulirsch, 1964, Fehlerabschatzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson Typus, Numer. Math., 6, 413, 10.1007/BF01386092
Courant, 1966
Dunkin, 1965, Computation of modal solutions in layered elastic media at high frequencies, Bull. Seism. Soc., 55, 335, 10.1785/BSSA0550020335
Eringen, 1975
Ewing, 1957
Friedman, 1976
Giroire, 1978, Numerical solution of an exterior Neumann problem using a double layer potential, Math. Comp., 32, 973, 10.1090/S0025-5718-1978-0495015-8
Gladwell, 1979
Hariharan, 1981, A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics, ICASE Report #81-14
Hestenes, 1980
Hsiao, 1973, Solution to boundary value problems by integral equations of the first kind, SIAM Review, 15, 687, 10.1137/1015093
Koshliakov, 1964
Kress, 1978, Transmission problems for the Helmholtz equation, J. Math. Phys., 19, 1433, 10.1063/1.523808
Leroux, 1974, Equations intégrales pour le problème du potentiel électrique dans le plan, C.R. Acad. Sct. Paris Ser. Math. A, 178, 541
Lyness, 1967, Numerical quadrature and asymptotic expansion, Math. Comp., 21, 162, 10.1090/S0025-5718-1967-0225488-X
MacCamy, 1980, Variational procedures for a class of exterior interface problems, J. Math. Anal. Appl., 78, 248, 10.1016/0022-247X(80)90226-7
Mikhlin, 1960
Morse, 1953
Nedelec, 1974, Curved finite element methods for the solution of singular integral equations on surfaces in R3, Comput. Methods Appl. Mech. Engrg., 8, 61, 10.1016/0045-7825(76)90053-0
O'Leary, 1979, Capacitance matrix methods for the Helmholtz equations on general 3-dimensional regions, Math. Comp., 33, 849, 10.2307/2006065
Petrovsky, 1954
Proskurowski, 1976, On the numerical solution of Helmholtz's equation by the capacitance matrix method, Math. Comp., 30, 433
Rokhlin, 1981, Solution of families of large complex linear systems
Schwabik, 1979
Sharma, 1967, Scattering of steady elastic waves by surfaces of arbitrary shape, Bull. Seism. Soc., 57, 795, 10.1785/BSSA0570040795
Varadan, 1980