This article is cited in 1 paper

Finite difference method in the problem of diffraction of a plane acoustic wave in a half-plane with a cut

A. O. Rodnikov, B. A. Samokish

St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

Abstract: In the numerical solution of the diffraction problem for an acoustic plane wave in a half-plane with a cut, boundary conditions that are equivalent to the radiation conditions at infinity are set in a neighborhood of the points of the cut. Joining the physical boundary conditions on the cut, a closing set of equations of order $4N$, where $N$ is the number of grid points on the cut, is obtained. The so-called Green's grid function for the half-plane is used, which makes it possible to pass from one grid layer to another one for the solution satisfying certain conditions at infinity.

UDC: 519.634

Received: 17.04.2009

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:12, 2117–2134

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