A numerical study of a degenerate diffusion equation driven by a Heaviside function

DOI10.1016/j.camwa.2021.03.002OpenAlexW3137492927MaRDI QIDQ2019586

C. Alberini, Stefano Finzi Vita, Raffaela Capitanelli

Publication date: 21 April 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12164

zbMATH Keywords

finite difference methodsfree boundary problemsdegenerate parabolic problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• A self-organizing criticality mathematical model for contamination and epidemic spreading
• Augmented Lagrangian active set methods for obstacle problems
• On strong solutions to parabolic unilateral problems with obstacle dependent on time
• The obstacle problem revisited
• An efficient primal-dual method for the obstacle problem
• Unidirectional evolution equations of diffusion type
• On a discrete self-organized-criticality finite time result
• On the asymptotic behavior of the solutions to parabolic variational inequalities
• Problèmes unilateraux
• Self-organized criticality of cellular automata model; absorbtion in finite-time of supercritical region into the critical one
• Adaptive Multilevel Methods for Obstacle Problems
• Finite-Time Self-Organized-Criticality on Synchronized Infinite Grids
• Modeling sand slides by a mechanics-based degenerate parabolic equation