Error Estimates for Discontinuous Galerkin Time-Stepping Schemes for Robin Boundary Control Problems Constrained to Parabolic PDEs

DOI10.1137/130943108zbMath1355.65082OpenAlexW2071335928MaRDI QIDQ5245391

Efthimios N. Karatzas, Konstantinos Chrysafinos

Publication date: 8 April 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d9ffae12098665c84f0547622dbeea3b93eb8c71

zbMATH Keywords

convergence error estimates numerical examples parabolic equations Galerkin scheme finite element approximations Robin boundary control discontinuous time-stepping schemes

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (8)

Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements ⋮ Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem ⋮ Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem ⋮ Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System ⋮ A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements ⋮ Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation ⋮ Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold ⋮ Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

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