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Solution of wave diffraction problems by the method of continued boundary conditions

Solution of wave diffraction problems by the method of continued boundary conditions Abstract Numerical solution of three-dimensional diffraction problems by the method of continued boundary conditions, which is known to be effective in the case of two-dimensional problems, is discussed. The basic idea of the method is that the boundary condition is imposed at a certain sufficiently small distance from the impedance surface that produces the diffraction field. This procedure reduces the boundary-value problem to the Fredholm integral equation of the first or second kind with a smooth kernel. Results are reported that show how to apply the MCBC most efficiently, depending on particular requirements regarding the accuracy of the solution and number of calculations. Examples illustrating the high efficiency of the approach are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acoustical Physics Springer Journals

Solution of wave diffraction problems by the method of continued boundary conditions

Kyurkchan, A. G.; Smirnova, N. I.
Acoustical Physics , Volume 53 (4): 10 – Jul 1, 2007
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References (11)

Publisher
Springer Journals
Copyright
2007 Pleiades Publishing, Ltd.
ISSN
1063-7710
eISSN
1562-6865
DOI
10.1134/s1063771007040021
Publisher site
See Article on Publisher Site

Abstract

Abstract Numerical solution of three-dimensional diffraction problems by the method of continued boundary conditions, which is known to be effective in the case of two-dimensional problems, is discussed. The basic idea of the method is that the boundary condition is imposed at a certain sufficiently small distance from the impedance surface that produces the diffraction field. This procedure reduces the boundary-value problem to the Fredholm integral equation of the first or second kind with a smooth kernel. Results are reported that show how to apply the MCBC most efficiently, depending on particular requirements regarding the accuracy of the solution and number of calculations. Examples illustrating the high efficiency of the approach are presented.

Journal

Acoustical Physics – Springer Journals

Published: Jul 1, 2007

Keywords: Acoustics

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