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On a dual formulation for the growing sandpile problem. (English) Zbl 1158.74012

Summary: We are interested in the mathematical and numerical study of the Prigozhin model for a growing sandpile. Based on implicit Euler discretization in time, we give a simple improvement of theoretical and numerical analyses of the dual formulation for the problem. By using this model, we also give some application to the Monge-Kantorovich problem of optimal mass transportation.

MSC:

74E20 Granularity
74H20 Existence of solutions of dynamical problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74S20 Finite difference methods applied to problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
35Q72 Other PDE from mechanics (MSC2000)
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