Optimal Control of Partial Differential Equations
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Publication:4637191
DOI10.1007/978-3-319-49631-3_1zbMath1391.49037OpenAlexW2743553439MaRDI QIDQ4637191
Publication date: 18 April 2018
Published in: Computational Mathematics, Numerical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-49631-3_1
optimal controlconvergencefinite element methodapproximationspartial differential equationslinear quadratic control
Optimality conditions for problems involving partial differential equations (49K20) Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25)
Related Items (18)
A posteriori error estimates for semilinear optimal control problems ⋮ State-constrained semilinear elliptic optimization problems with unrestricted sparse controls ⋮ On regularization of an optimal control problem for ill-posed nonlinear elliptic equations ⋮ Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation ⋮ Error estimates for the numerical approximation of unregularized sparse parabolic control problems ⋮ Linear quadratic optimal control for systems governed by first-order hyperbolic partial differential equations ⋮ Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space ⋮ Nonuniqueness of minimizers for semilinear optimal control problems ⋮ First and Second Order Conditions for Optimal Control Problems with an $L^0$ Term in the Cost Functional ⋮ Stability for bang-bang control problems of partial differential equations ⋮ State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization ⋮ Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization ⋮ Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations ⋮ Subdifferentials of marginal functions of parametric bang-bang control problems ⋮ Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term ⋮ The turnpike property in semilinear control ⋮ Analysis of control problems of nonmontone semilinear elliptic equations ⋮ Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis
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