New approximate method for the Allen-Cahn equation with double-obstacle constraint and stability criteria for numerical simulations

DOI10.3934/MATH.2016.3.288zbMath1425.37051OpenAlexW2544492188MaRDI QIDQ2335191

Noriaki Yamazaki, Keisuke Takasao, Tomoyuki Suzuki

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2016.3.288

zbMATH Keywords

stabilityconstraintnumerical simulationsAllen-Cahn equationdouble obstacle

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Simulation of dynamical systems (37M05)

Cites Work

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• Asymptotics for a parabolic double obstacle problem
• Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints
• Perturbations of nonlinear maximal monotone sets in banach space

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