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.

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Bibliographic Details
Published inApplied mathematics & optimization Vol. 78; no. 2; pp. 329 - 359
Main Authors Igbida, N., Karami, F., Ouaro, S., Traoré, U.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2018
Springer Nature B.V
Subjects
Boundary conditions
Calculus of Variations and Optimal Control; Optimization
Control
Group theory
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Simulation
Systems Theory
Theoretical
Nonlinear semigroup dual formulation
Numerical approximation
Mixed boundary conditions
Subdifferential operator
Sandpile
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Summary: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.
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-017-9408-2