Superconvergence Properties for Optimal Control Problems Discretized by Piecewise Linear and Discontinuous Functions

DOI10.1080/01630560701283508zbMath1295.49016OpenAlexW2022298980MaRDI QIDQ3444674

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Publication date: 4 June 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701283508

zbMATH Keywords

error estimatessuperconvergenceelliptic equationsnumerical approximationlinear-quadratic optimal control problemscontrol constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25)

Related Items (3)

Third order convergent time discretization for parabolic optimal control problems with control constraints ⋮ Ciarlet-Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equation ⋮ Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations

Cites Work

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• Approximation of a class of optimal control problems with order of convergence estimates
• Error estimates for the numerical approximation of boundary semilinear elliptic control prob\-lems
• Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Error estimates for the numerical approximation of a semilinear elliptic control problem
• Error estimates for linear-quadratic control problems with control constraints
• Primal-Dual Strategy for Constrained Optimal Control Problems
• Superconvergence Properties of Optimal Control Problems
• Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
• Linear and Discontinuous Approximations for Optimal Control Problems

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