Symmetric error estimates for discontinuous Galerkin approximations for an optimal control problem associated to semilinear parabolic PDE's

DOI10.3934/DCDSB.2012.17.1473zbMath1247.65080OpenAlexW2334263097MaRDI QIDQ432582

Efthimios N. Karatzas, Konstantinos Chrysafinos

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1473

zbMATH Keywords

optimal controlfinite element methoddiscontinuous Galerkin methoddistributed controlsemilinear parabolic PDE'ssymmetric error estimates

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 (4)

A priori error estimates for state-constrained semilinear parabolic optimal control problems ⋮ Analysis and approximations of an optimal control problem for the Allen-Cahn equation ⋮ Quasi-best approximation in optimization with PDE constraints ⋮ Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

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