New second order sufficient optimality conditions for state constrained parabolic control problems. arXiv:2401.17621
Preprint, arXiv:2401.17621 [math.OC] (2024).
Found 49 Documents (Results 1–49)
FEM for semilinear elliptic optimal control with nonlinear and mixed constraints. (English) Zbl 1537.49024
Reviewer: Jaarat Gasimov (Famagusta)
Existence of optimal controls in the absence of weakly continuous control-to-state-operator. (English) Zbl 1510.49016
Reviewer: Aygul Manapova (Ufa)
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. (English) Zbl 1478.49028
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation. (English) Zbl 1467.49017
An inverse problem for determining right hand side of equations for hyperbolic equation of fourth order. (English) Zbl 1524.49004
Superconvergent graded meshes for an elliptic Dirichlet control problem. (English) Zbl 1433.65257
Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 1-16 (2019).
Error estimates for semilinear parabolic control problems in the absence of Tikhonov term. (English) Zbl 1420.35138
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity. (English) Zbl 1391.49038
Pontryagin’s principle for optimal control problem governed by 3D Navier-Stokes equations. (English) Zbl 1380.49023
Reviewer: Andrzej Świerniak (Gliwice)
Mass lumping for the optimal control of elliptic partial differential equations. (English) Zbl 1368.49037
Second-order optimality conditions for boundary control problems with mixed pointwise constraints. (English) Zbl 1352.49022
Reviewer: Claudia Simionescu-Badea (Wien)
Second-order necessary optimality conditions for a class of optimal control problems governed by partial differential equations with pure state constraints. (English) Zbl 1318.49039
Reviewer: Claudia Simionescu-Badea (Wien)
Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints. (English) Zbl 1312.49024
A posteriori error analysis of optimal control problems with control constraints. (English) Zbl 1302.65155
Reviewer: Jan Lovíšek (Bratislava)
Identification of an unknown parameter function in the main part of an elliptic partial differential equation. (English) Zbl 1264.35278
Discretization of optimal control problems. (English) Zbl 1356.49047
Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 391-430 (2012).
Finite element error estimates for Neumann boundary control problems on graded meshes. (English) Zbl 1258.49044
Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints. (English) Zbl 1260.49036
Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints. (English) Zbl 1223.49027
Sufficient optimality conditions for the Moreau-Yosida-type regularization concept applied to semilinear elliptic optimal control problems with pointwise state constraints. (English) Zbl 1284.49027
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints. (English) Zbl 1282.49024
A priori error analysis for linear quadratic elliptic Neumann boundary control problems with control and state constraints. (English) Zbl 1208.49034
Error estimates for joint Tikhonov and Lavrentiev regularization of constrained control problems. (English) Zbl 1203.49027
How to check numerically the sufficient optimality conditions for infinite-dimensional optimization problems. (English) Zbl 1197.49022
Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 297-317 (2009).
A virtual control concept for state constrained optimal control problems. (English) Zbl 1170.90514
MSC:
90C46
Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems. (English) Zbl 1152.49023
Error estimates for the regularization of optimal control problems with pointwise control and state constraints. (English) Zbl 1140.49022
Error estimates for finite element approximations of elliptic control problems. (English) Zbl 1191.49035
On regularity of solutions and Lagrange multipliers of optimal control problems for semilinear equations with mixed pointwise control-state constraints. (English) Zbl 1357.49093
Optimal control in non-convex domains: a priori discretization error estimates. (English) Zbl 1168.49306
Superconvergence properties for optimal control problems discretized by piecewise linear and discontinuous functions. (English) Zbl 1295.49016
Existence of regular Lagrange multipliers for a nonlinear elliptic optimal control problem with pointwise control-state constraints. (English) Zbl 1108.49019
Optimal control of the Stokes equations: a priori error analysis for finite element discretization with postprocessing. (English) Zbl 1140.49015
Reviewer: Igor Bock (Bratislava)
Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. (English) Zbl 1119.49022
Regularity of solutions for an optimal control problem with mixed control-state constraints. (English) Zbl 1115.49018
Linear and discontinuous approximations for optimal control problems. (English) Zbl 1086.49025
Reviewer: Ekkehard Sachs (Trier)
Sufficient second-order optimality conditions for a parabolic optimal control problem with pointwise control-state constraints. (English) Zbl 1038.49028
Sufficient second order optimality conditions for a state-constrained optimal control problem of a weakly singular integral equation. (English) Zbl 1039.49027
Reviewer: Jean-Pierre Raymond (Toulouse)
MSC:
49K22
49K20
Optimal control of a linear elliptic equation with a supremum norm functional. (English) Zbl 1005.49013
Second order optimality conditions and stability estimates for the identification of nonlinear heat transfer laws. (English) Zbl 0901.35044
Desch, W. (ed.) et al., Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14–20, 1996. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 126, 237-246 (1998).
Identification of nonlinear heat transfer laws by optimal control methods. (Identifikation nichtlinearer Wärmeübergangsgesetze mit Methoden der optimalen Steuerung.) (German) Zbl 0843.93020
Chemnitz-Zwickau: Fak. f. Math., TU Chemnitz-Zwickau, 98, 6 S. (1995).
Reviewer: E.O.Roxin (Kingston / Rhode Island)
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