On a dual formulation for growing sandpile problem with mixed boundary conditions

DOI10.1007/s00245-017-9408-2zbMath1404.49002OpenAlexW2600060236MaRDI QIDQ1630409

Urbain Traore, Fahd Karami, Stanislas Ouaro, Noureddine Igbida

Publication date: 10 December 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-017-9408-2

zbMATH Keywords

mixed boundary conditionsnumerical approximationsubdifferential operatorsandpilenonlinear semigroup dual formulation

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Duality theory (optimization) (49N15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Cites Work

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• On the collapsing sandpile problem
• Dual formulations in critical state problems
• On a dual formulation for the growing sandpile problem
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• A Mixed Formulation of the Monge-Kantorovich Equations

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