\(P_1\) finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions

DOI10.1016/j.rinam.2019.100090zbMath1443.49007OpenAlexW2999235944MaRDI QIDQ780010

D. Kharzeev

Publication date: 14 July 2020

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2019.100090

zbMATH Keywords

variational inequalitiespointwise state constraintsnonconvex domains\(P_1\) finite element methodselliptic distributed optimal control problems

Mathematics Subject Classification ID

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) Numerical methods for variational inequalities and related problems (65K15)

Related Items (11)

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 ⋮ Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem ⋮ Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints ⋮ Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem ⋮ Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions ⋮ 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 ⋮ 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 C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints

Uses Software

• Matlab

Cites Work

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