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Finite element method for constrained optimal control problems governed by nonlinear elliptic PDEs

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Publication:453157
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DOI10.3934/mcrf.2012.2.183zbMath1250.49030OpenAlexW2323453574MaRDI QIDQ453157

Lili Chang, Ming Yan, Ning-Ning Yan

Publication date: 18 September 2012

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2012.2.183

zbMATH Keywords

finite element methodoptimal control problemsnonlinear elliptic PDEsgoal-oriented error estimates


Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for second-order elliptic equations (35J20) Discrete approximations in optimal control (49M25)


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A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself, Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates, Nonconforming finite element methods for the constrained optimal control problems governed by nonsmooth elliptic equations



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