Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media

Based on the mathematical apparatus of variational inequalities, original corrective algorithms are developed for numerical solution of dynamic problems in the theory of elastic-plastic Prandtl–Reuss flow with an arbitrary plasticity condition. The method of splitting into physical processes is used. Similar algorithms are constructed to simulate the dynamics of a granular medium and a porous medium with open pores.