Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints

DOI10.1080/01630563.2022.2124271zbMath1498.49034OpenAlexW4297382404MaRDI QIDQ5039378

Nguyen Quoc Tuan, Bui Trong Kien

Publication date: 12 October 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2124271

zbMATH Keywords

optimal controlconvergencefinite element methoderror estimatesemilinear elliptic equationfirst-and second-order optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25) Semilinear elliptic equations (35J61)

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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

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