A NEW VERSION OF BOUNDARY INTEGRAL-EQUATIONS AND THEIR APPLICATION TODYNAMIC 3-DIMENSIONAL PROBLEMS OF THE THEORY OF ELASTICITY

A version of boundary integral equations of the first kind in dynamic problems of the theory of elasticity is proposed, based on an investig ation of the analytic properties of the Fourier transformant of the di splacement vector, rather than on fundamental solutions. A system of t hree boundary integral equations of the first kind with Fredholm kerne ls is constructed, and the equivalence of the initial boundary-value p roblem on the vibrations of a bounded region and the system of boundar y integral equations obtained is investigated. A version of the numeri cal realization, which combines the ideas of the classical method of b oundary elements and the Tikhonov regularization method, is proposed. The results of numerical experiments are given. (C) 1998 Elsevier Scie nce Ltd. All rights reserved.