Electric, magnetic and elastic waves in anisotropic materials

In this thesis new methods for the fundamental solutions of elastodynamicsof anisotropic crystals, quasicrystals and fundamental solutions ofelectromagnetodynamics of anisotropic materials are suggested. These methodsare based on the Fourier transformation with respect to space variables and somematrix computations. Robustness of the methods are confirmed by computationalexamples. Simulation of elastic, electric and magnetic waves arising from pulsepoint sources in crystals and quasicrystals, electrically and magnetically anisotropicmaterials are obtained. Moreover, a new method for solving the initial value problemfor the system of electromagnetoelasticity is proposed and theorems about existenceand uniqueness of the solution of the initial value problem are proved.