Geodesic
Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media
Numerical methods and programming, Tome 25 (2024) no. 1, pp. 78-91.

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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.
Keywords: elastic-plastic flow, dynamics, Wilkins correction, variational inequality. 
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     title = {Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media},
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     url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_1_a6/}
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V. M. Sadovskii; O. V. Sadovskaya. Algorithms of solution correction for numerical simulation of the dynamics of elastic-plastic, granular and porous media. Numerical methods and programming, Tome 25 (2024) no. 1, pp. 78-91. http://geodesic.mathdoc.fr/item/VMP_2024_25_1_a6/