\(C^0\) interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition

DOI10.1016/j.cam.2018.10.015OpenAlexW2898537063MaRDI QIDQ1713168

Peng Zhang

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.10.015

zbMATH Keywords

pointwise state constraintsfourth order variational inequality\(C^0\) interior penalty methods\textit{a posteriori} analysis\textit{a priori} analysiselliptic optimal control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (13)

A \(P_1\) finite element method for a distributed elliptic optimal control problem with a general state equation and pointwise state constraints ⋮ A cubic \(C^{\mathbf{0}}\) interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints ⋮ Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates ⋮ Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem ⋮ A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints ⋮ \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints ⋮ A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints ⋮ Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey) ⋮ \(P_1\) finite element methods for a weighted elliptic state-constrained optimal control problem ⋮ A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games ⋮ Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state ⋮ \(P_1\) finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions ⋮ A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints

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