A Semismooth Newton Method for Regularized L q-quasinorm Sparse Optimal Control Problems

DOI10.1007/978-3-030-55874-1_71zbMath1478.49027OpenAlexW3157436923MaRDI QIDQ5152869

Pedro Merino

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_71

zbMATH Keywords

semismooth Newton methodelliptic optimal control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
• A difference-of-convex functions approach for sparse PDE optimal control problems with nonconvex costs
• Semismooth Newton Methods for Operator Equations in Function Spaces
• Optimal Control with $L^p(\Omega)$, $p\in [0,1)$, Control Cost

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