Optimal control for an elliptic system with convex polygonal control constraints

DOI10.1093/imanum/drs029zbMath1273.65084OpenAlexW1989265955MaRDI QIDQ2841058

Xiliang Lu, Karl Kunisch

Publication date: 24 July 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://unipub.uni-graz.at/doi/10.1093/imanum/drs029

zbMATH Keywords

algorithmLagrange multipliersnumerical examplefinite differenceoptimal control problemelliptic systemoptimality conditionsuperlinear convergenceadjoint equationcontrol constraintssemismooth Newton methodcomplementarity systemprimal equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (5)

Nonconvex penalization of switching control of partial differential equations ⋮ Numerical solution of time-dependent component with sparse structure of source term for a time fractional diffusion equation ⋮ Optimal control for elliptic systems with pointwise Euclidean norm constraints on the controls ⋮ An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation ⋮ A stabilized finite element method for the convection dominated diffusion optimal control problem

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