A class of boundary-value problems in the dynamic theory of elasticity. (Q2761293)

The authors study one class of boundary value problems of dynamical elasticity theory for which all components of the displacement vector and stress vector are given only on a part of the body boundary. The boundary value problem is reduced to the system of integral Fredholm equations of the first kind with smooth kernels. The numerical determining of unknown wave fields is based on the combination of the boundary elements method and the Tikhonov regularization technique (see [{ A.~N.~Tikhonov\ /} and { V.~Ya.~Arsenin}, ``Methods for solution of ill-posed problems'', Nauka, Moscow (1979; Zbl 0499.65030)]). The restoration of the wave fields for anizotropic body is considered as an example.