Wave propagation in a 2-D external domain with cuts

Applicable Analysis

Volumn 62, Issue 3-4, 1996, Pages 297-309

  Krutitskii, P A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Boundary integral equations; Boundary value problem; Helmholtz equation; Wave scattering by obstacles

Indexed keywords

EID: 0004492895     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819608840484     Document Type: Article

References (8)

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2. Gakhov, F.D., 1966. “ Addison-Wesley ”. In Boundary value problems, Oxford: Pergarnon Press. Reading Mass.
3. Krutitskii, P.A., 1994. Dirichlet problem for the Helmholtz equation outside cuts in a plane. Comp. Maths. Math. Phys., 34 (819): 1073–1090.
4. Muskhelishili, N.I., 1953. Noordhoff, Groningen. Singular integral equations, reprinted 1972.
5. Durand, M., 1983. Layerpotentials and boundary value problems forthe Helmholtz equation in the complement of a thin obstacle. Math. Meth. Appl. Sci., 5: 389–421.
6. Hsiao, G.C., Stephan, E.P., and Wendland, W.L., 1985. “ An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc. ”. In Singularities and their constructive treatment, Edited by: Grisvard, P., Whiteman, J., and Wendland, W., Vol. 112, 153–165. Heidelberg: Springer-Verlag. Lecture Notes in Math.
7. Kress, R., 1995. Inverse scattering from an open arc. Math. Meth. Appl. Sci., 18: 267–293.
8. Wilcox, C.H., 1975. “ Scattering theory for the dlAlembert equation in exterior domains ”. In Lecture Notes in Math., Vol. 442, Berlin: Springer-Verlag.