Abstract
This chapter is devoted to numerical solution of the problems of plane monochromatic wave scattering from heterogeneities in homogeneous host media. The integro-differential equations of the 3D scattering problems of acoustics, electromagnetics, elasticity, and poroelasticity are discretized by Gaussian approximating functions. For iterative solutions of the discretized equations, the minimal residual method, the conjugate gradient method, and the FFT algorithms for the calculation of matrix-vector products are adopted. Examples of computational programs for numerical solution of basic scattering problems are presented. Numerical calculations are compared with exact solutions of the scattering problems for spherical heterogeneities.
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