Applied Mathematics and Optimization, Vol.78, No.2, 329-359, 2018
On a Dual Formulation for Growing Sandpile Problem with Mixed Boundary Conditions
In this work, we introduce and study a Prigozhin model for growing sandpile with mixed boundary conditions. For theoretical analysis we use semi-group theory and the numerical part is based on a duality approach.
Keywords:Sandpile;Mixed boundary conditions;Subdifferential operator;Nonlinear semigroup dual formulation;Numerical approximation