DocumentCode
2025004
Title
The Dirichlet problem for the propagative Helmholtz equation in a 2-D exterior domain bounded by closed curves and open arcs
Author
Krutitskii, P.A. ; Krutitskaya, N. Ch
Author_Institution
KIAM, Moscow, Russia
fYear
2008
fDate
3-6 June 2008
Firstpage
85
Lastpage
91
Abstract
The Dirichlet problem for the 2-D Helmholtz equation in an exterior domain bounded by closed curves and open arcs is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind and index zero, which is uniquely solvable. It means, that the solution can be computed by standard codes.
Keywords
Fredholm integral equations; Helmholtz equations; electromagnetic wave propagation; 2D exterior domain; Dirichlet problem; Fredholm equation; closed curves; open arcs; propagative Helmholtz equation; standard codes; Books; Boundary value problems; Code standards; Diffraction; Equations; Inverse problems; Mathematics; Physics;
fLanguage
English
Publisher
ieee
Conference_Titel
Days on Diffraction, 2008. DD '08. Proceedings of the International Conference
Conference_Location
St. Petersburg
Print_ISBN
978-5-9651-0277-8
Type
conf
Filename
5072319
Link To Document