Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems

DOI10.1002/zamm.200800036zbMath1152.49023OpenAlexW2172034556MaRDI QIDQ3531470

Arnd Rösch, Nataliya Metla, Roland Griesse

Publication date: 31 October 2008

Published in: ZAMM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200800036

zbMATH Keywords

sequential quadratic programmingnecessary and sufficient optimality conditionslocal quadratic convergencenonlinear elliptic boundary state equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Quadratic programming (90C20) Boundary value problems for second-order elliptic equations (35J25)

Related Items (10)

Numerical Analysis of State-constrained Optimal Control Problems for PDEs ⋮ Locally Lipschitz stability of a parametric semilinear elliptic optimal control problem with mixed constraints ⋮ Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints ⋮ Identification of an unknown parameter function in the main part of an elliptic partial differential equation ⋮ Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints ⋮ Stability of semilinear elliptic optimal control problems with pointwise state constraints ⋮ Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Convergence of the SQP method for quasilinear parabolic optimal control problems ⋮ Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation

Cites Work

• Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
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