Optimal control problem for Allen-Cahn type equation associated with total variation energy

DOI10.3934/dcdss.2012.5.159zbMath1239.49004OpenAlexW2314948651MaRDI QIDQ428444

Ken Shirakawa, Noriaki Yamazaki, Takeshi Ohtsuka

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.159

zbMATH Keywords

numerical experimentsoptimal control problemsAllen-Cahn type equation

Mathematics Subject Classification ID

Related Items (11)

Constrained optimization problems governed by PDE models of grain boundary motions ⋮ New aspects of time fractional optimal control problems within operators with nonsingular kernel ⋮ Optimal control of a quasilinear parabolic equation and its time discretization ⋮ Lagrange multiplier and singular limit of double obstacle problems for the Allen-Cahn equation with constraint ⋮ Distributed and boundary optimal control of the Allen–Cahn equation with regular potential and dynamic boundary conditions ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems ⋮ Remarks on numerical experiments of the Allen-Cahn equations with constraint via Yosida approximation ⋮ State-constrained optimal control of phase-field equations with obstacle ⋮ Optimal control problem for Lengyel–Epstein model with obstacles and state constraints ⋮ New approximate method for the Allen-Cahn equation with double-obstacle constraint and stability criteria for numerical simulations ⋮ Singular limit of Allen-Cahn equation with constraint and its Lagrange multiplier

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