A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems
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Publication:3068650
DOI10.1080/01630563.2010.492046zbMath1219.49025OpenAlexW2081816058MaRDI QIDQ3068650
Yanping Chen, Lingli Liu, Zuliang Lu
Publication date: 17 January 2011
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2010.492046
mixed finite element methodsparabolic equationsoptimal control problemsa-posteriori error estimatesfully discrete
Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)
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New a posteriori \(L^\infty(L^2)\) and \(L^2(L^2)\)-error estimates of mixed finite element methods for general nonlinear parabolic optimal control problems., Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint, Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on \(L^{2}\) errors, Adaptive mixed finite element methods for parabolic optimal control problems, New \textit{a posteriori} error estimates of mixed finite element methods for quadratic optimal control problems governed by semilinear parabolic equations with integral constraint
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