Convergence analysis of the semismooth Newton method for sparse control problems governed by semilinear elliptic equations

DOI10.1137/23M1585945MaRDI QIDQ6640594

Eduardo Casas, M. Mateos

Publication date: 20 November 2024

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlsemilinear elliptic equationssemismooth Newton method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Semilinear elliptic equations (35J61)

Cites Work

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• Functional Analysis, Calculus of Variations and Optimal Control
• Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms
• Numerical Optimization
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with $L^1$ Cost Functional
• On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
• A quadratically-convergent algorithm for general nonlinear programming problems
• Analysis of control problems of nonmontone semilinear elliptic equations

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