Time iterative procedure of modeling time-dependent processes in essentially inhomogeneous media

It is shown that the algorithms proposed in [1,2] for solving problems of rigid body dynamic deformation are efficient when a time iterative procedure is applied to the case of essentially inhomogeneous domains with not extensive but very rigid impurities. In multidimensional case this, in particular, solves the problems of constructing a mesh adaptive to an inhomogeneous medium and solution matching at the boundaries of sub domains.