A quasi-variational inequality problem arising in the modeling of growing sandpiles

DOI10.1051/m2an/2012062zbMath1332.65090arXiv1203.1611OpenAlexW2072410279WikidataQ117202550 ScholiaQ117202550MaRDI QIDQ2842456

John W. Barrett, Leonid Prigozhin

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1611

zbMATH Keywords

convergence analysisexistencefinite elementsquasi-variational inequalitiesprimal and mixed formulationscritical-state problems

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Variational inequalities (49J40) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Dynamic critical phenomena in statistical mechanics (82C27) Moving boundary problems for PDEs (35R37) Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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