NUMERICAL METHODS FOR SOLUTION OF HELMHOLTZ's WAVE EQUATION

The work covers the numerical methods for solution of the problems connected with scattering of the monochromatic acoustic waves by the composite obstacles with piecewise-constant characteristics. The aim is to develop the numerical methods and to create the software for solving problems of the scattering in case of the high frequencies and large jump of the coefficients. The numerical stability in the new method for approximation of the Sommerfeld's radiation conditions has been proved. The approximated method for decomposition of the field for two-dimensional problems with large jump of the coefficients has been proposed. The program complexes for solving two- and three-dimensional problems of the scattering in case of the complex shape scattering obstacles have been developed. The efficiency of using the absorbing boundary conditions in the method of forged components for solving three-dimensional problems of the acoustics in the field of the high frequencies has been confirmed in experimentAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio