Numerical analysis for the approximation of optimal control problems with pointwise observations

DOI10.1002/mma.2861zbMath1334.49083OpenAlexW2034049100MaRDI QIDQ2795224

Lili Chang, Wei Gong, Ning-Ning Yan

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2861

zbMATH Keywords

error estimatesfinite element methodoptimality conditionselliptic PDEsoptimal control problemssolution regularitypointwise observations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (9)

Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation ⋮ Adaptive finite element methods for an optimal control problem involving Dirac measures ⋮ \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints ⋮ Error estimates for optimal control problems involving the Stokes system and Dirac measures ⋮ A posteriori error estimates for the Stokes problem with singular sources ⋮ A priori \(L^2\)-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints ⋮ Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions ⋮ An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations ⋮ Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations

Uses Software

• AFEPack

Cites Work

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