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UDC 519.642

© A. A Kashirin, 2012

ON ILL-POSED INTEGRAL EQUATIONS AND NUMERICAL SOLVING OF STATIONARY PROBLEMS OF DIFFRACTION OF ACOUSTIC WAVES

We consider the features of the numerical solution the stationary diffraction problems with using the boundary integral equations method on the spectrum of integral operators. The differential and integral statements of the problems are not equivalent in this case. We propose a modification of the numerical method, which provides a solution of diffraction problems in integral statements. We give the results of the numerical experiments, which illustrate the possibilities of this approach.

Keywords: diffraction problem, Helmholtz equation, boundary, integral equation, spectrum, numerical solution.

References:

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