65 Numerical analysis -- 65M Partial differential equations, initial value and time-dependent initial-boundary value problems 65M50 Mesh generation and refinement
Summary (translated from the Russian): ``We consider a numerical algorithm for solving dynamic problems in the theory of elasticity using a combination of uniform and quasi-uniform grids. We use Lax smoothing to suppress parasitic perturbations caused by grid irregularity. Using an example of the solution of one- and two-dimensional problems, we demonstrate the efficiency of the algorithm when a nonuniform grid with a small number of nodes is used for the actual modeling of a nonreflecting boundary condition.''