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Article information
2010 , Volume 15, ¹ 1, p.60-76
Ershov N.E., Illarionova L.V., Smagin S.I.
Numerical solution of a 3D stationary problem for diffraction of acoustic waves
This work is devoted to a numerical solution of stationary acoustic wave problems in a media with three-dimensional inclusions. By using potential theory, the initial problem is formulated as a mixed weakly singular system of the boundary Fredholm integral equations of the first and the second kind on the surface of an inclusion. Theoretical investigations have shown that the obtained problem is well posed and is equivalent of the original initial problem. Approximate solution the original problem is obtained by approximating the integral equations by a system of linear algebraic equations, which is then solved numerically. We make use of "a self-regularization" property of the problem, which allows avoiding complex regularization algorithms in the numerical code. Results of numerical experiments are offered.
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Keywords: Helmgolts equation, three-dimensional diffraction problem, method of boundary integral equations
Author(s):
Ershov Nicolay Egorovich
PhD.
Position: Deputy Director on science
Office: Computer Center FEB RAS
Address: 680000, Russia, Khabarovsk
Phone Office: (4212) 22 72 67
E-mail: illarionova_l@list.ru
Illarionova Liubov Viktorovna
Position: Research Scientist
Office: Computer Center FEB RAS
Address: 680000, Russia, Khabarovsk
Phone Office: (4212) 22 72 67
E-mail: illarionova_l@list.ru
Smagin Sergey Ivanovich
Dr. , Correspondent member of RAS, Professor
Position: Director
Office: Computer Center FEB RAS
Address: 680000, Russia, Khabarovsk
Phone Office: (4212) 22 72 67
E-mail: smagin@ccfebras.ru
SPIN-code: 2419-4990
Bibliography link:
Ershov N.E., Illarionova L.V., Smagin S.I. Numerical solution of a 3D stationary problem for diffraction of acoustic waves // Computational technologies. 2010. V. 15. ¹ 1. P. 60-76
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