Optimal control of unilateral obstacle problem with a source term

DOI10.1007/S11117-008-2241-8zbMath1179.35146arXiv0803.1978OpenAlexW2041307625MaRDI QIDQ1029224

Radouen Ghanem

Publication date: 10 July 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1978

zbMATH Keywords

optimal controlvariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Partial differential inequalities and systems of partial differential inequalities (35R45) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (6)

Direct pseudo-spectral method for optimal control of obstacle problem - an optimal control problem governed by elliptic variational inequality ⋮ An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type ⋮ Optimal control of high-order elliptic obstacle problem ⋮ Double obstacle control problem for a quasilinear elliptic variational inequality with source term ⋮ On the numerical study of an obstacle optimal control problem with source term ⋮ Numerical solution of bilateral obstacle optimal control problem, where the controls and the obstacles coincide

Cites Work

• Optimal control of the obstacle in a quasilinear elliptic variational inequality
• Contrôle dans les inéquations variationelles elliptiques
• Optimal control of the obstacle for an elliptic variational inequality
• Optimal control of the obstacle in semilinear variational inequalities
• An obstacle control problem with a source term
• Optimal control of obstacle problems by \(H^{1}\)-obstacles
• Approximating optimal controls for elliptic obstacle problem by monotone iteration schemes
• Optimal Control of Bilateral Obstacle Problems
• Optimal Control in Some Variational Inequalities
• On the regularity of an obstacle control problem
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