A priori error estimate of perturbation method for optimal control problem governed by elliptic PDEs with small uncertainties

DOI10.1007/s10589-022-00352-4zbMath1487.49024OpenAlexW4213025039WikidataQ114227021 ScholiaQ114227021MaRDI QIDQ2114838

Mengya Feng, Tong-jun Sun

Publication date: 15 March 2022

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-022-00352-4

zbMATH Keywords

perturbation methodoptimal control problemstochastic elliptic PDEsa priori error estimate

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Optimality conditions for problems involving randomness (49K45)

Related Items (2)

Stochastic collocation for optimal control problems with stochastic PDE constraints by meshless techniques ⋮ Stochastic perturbation method for optimal control problem governed by parabolic PDEs with small uncertainties

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