The Dirichlet problem for the propagative Helmholtz equation in a 2-D exterior domain bounded by closed curves and open arcs

被引：0

作者：

Krutitskii, P. A. ^{[1
]}

Krutitskaya, N. Ch. ^{[2
]}

机构：

[1] KIAM, Miusskaya Sq 4, Moscow 125047, Russia

[2] Moscow State Lomonosov Univ, Dept Math, Fac Phys, Moscow 11989, Russia

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION 2008 | 2008年

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：85 / +

页数：2

共 37 条

[1] 2-D Neumann problem in an exterior domain bounded by closed and open curves
Moscow State Univ, Moscow, Russia
Math Methods Appl Sci, 18 (1551-1562):
[2] The 2-D Neumann problem in an exterior domain bounded by closed and open curves
Krutitskii, PA
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1997, 20 (18) : 1551 - 1562
[3] The Helmholtz Equation in Domains Bounded by Closed Curves and Open Arcs
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Krutitskaya, N. Ch.
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 336 - 338
[4] The Dirichlet problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 (12): : 883 - 890
[5] Dirichlet problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
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Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 77 (12):
[6] Wave propagation in a 2-D external domain bounded by closed and open curves
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (01) : 135 - 144
[7] Wave propagation in a 2-D external domain bounded by closed and open curves
Moscow State Univ, Moscow, Russia
Nonlinear Anal Theory Methods Appl, 1 (135-144):
[8] Integral equation method in boundary value problems for the Helmholtz equation in domains bounded by closed curves and open arcs
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Numerical Analysis and Applied Mathematics, 2007, 936 : 326 - 327
[9] The integral representation for a solution of the 2-D Dirichlet problem with boundary data on closed and open curves
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MATHEMATIKA, 2000, 47 (93-94) : 339 - 354
[10] The Dirichlet problem for the Stokes equation in a domain exterior to an open surface
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 121 - 124

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