Boundary point method is applied to the solution of the second boundary val
ue problem of dynamic elasticity for solids with cracks. The method is base
d on a class of Gaussian approximating functions that drastically simplify
the construction of the matrix of the linear algebraic system of the discre
tized problem. The results of the application of the method to 2D-problems
of dynamic elasticity are compared with the results of other methods existi
ng in the literature.