Transmission problems for the Helmholtz equation for a rectilinear-circular lune

• Autorzy: Denysenko V.
• Języki publikacji: EN

Abstrakty

EN

The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection for the solutions of the Helmholtz equation through the segment.

Słowa kluczowe

EN

Helmholtz equation; transmission problem; infinite system of linear algebraic equations

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 2
• Strony: 197--203
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Denysenko V.

• Kyiv National University of Trade and Economics, 19 Kioto Street, Kyiv 02156, Ukraine,

Bibliografia

• [1] V.T. Grinchenko, I.V. Vovk,Wave-type Problems os Scattering of Sound by Elastic Shells, Naukova Dumka, Kiev, 1986, 318 (in Russian).
• [2] V.T. Grinchenko, Development of the method of solutions of problems of emission and scattering of sound in noncanonical domains, Gidromekhanika 70 (1996), 26–40 (in Russian).
• [3] A.M. Gomilko, V.T. Grinchenko, Ye.V. Lobova, The reflection principle in two-dimensional boundary-value problems for the Helmholtz equation, Int. Journal of Fluid Mech. Research 26 (1999), 742–757.
• [4] A.G. Kyurkchan, B.Yu. Sternin, V.Ye. Shatalov, Features in the Extension of Wave Fields, Uspechi fiz. nauk. 166 (1996), 1285–1308 (in Russian).
• [5] D. Colton, R. Kress, Integral Equation Methods in Scattering Theory, Wiley-Interscience Publ., New York, 1983.