Applied Mathematics & Optimization

, Volume 78, Issue 2, pp 329–359 | Cite as

On a Dual Formulation for Growing Sandpile Problem with Mixed Boundary Conditions

  • N. Igbida
  • F. Karami
  • S. OuaroEmail author
  • U. Traoré


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.


Sandpile Mixed boundary conditions Subdifferential operator Nonlinear semigroup dual formulation Numerical approximation 


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© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Institut de Recherche XLIM-DMI, UMR-CNRS 7252, Faculté des Sciences et TechniquesUniversité de LimogesLimogesFrance
  2. 2.Institut de Recherche XLIM-DMI, UMR-CNRS 7252, Faculté des Sciences et TechniquesUniversité Cadi AyyadEssaouira El JadidaMorocco
  3. 3.LAboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences Exactes et AppliquéesUniversité Ouaga I Pr Joseph Ki-ZerboOuagadougouBurkina Faso

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