On the numerical study of an obstacle optimal control problem with source term

DOI10.1007/S12190-013-0728-3zbMath1293.49066OpenAlexW2028790718MaRDI QIDQ2511466

Hocine Sissaoui, Billel Zireg, Radouen Ghanem, T. Boubehziz

Publication date: 5 August 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0728-3

zbMATH Keywords

optimal controlfinite differenceselliptic variational inequalityNewton iterative method

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (3)

A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself ⋮ An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type ⋮ Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide

Cites Work

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• Optimal control of unilateral obstacle problem with a source term
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• Iterative continuation and the solution of nonlinear two-point boundary value problems
• Contrôle dans les inéquations variationelles elliptiques
• Optimal control of the obstacle in semilinear variational inequalities
• Optimal control of obstacle problems by \(H^{1}\)-obstacles
• Optimal Control in Some Variational Inequalities
• Variational inequalities

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