Error analysis of an HDG method for a distributed optimal control problem

DOI10.1016/j.cam.2016.04.032zbMath1341.49034OpenAlexW2346939380MaRDI QIDQ298187

Fatih Celiker, Hui-Qing Zhu

Publication date: 20 June 2016

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.2016.04.032

zbMATH Keywords

error estimateshybridizable discontinuous Galerkin methoddistributed optimal control problem

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) Numerical solutions to equations with linear operators (65J10) Discrete approximations in optimal control (49M25)

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An HDG method for distributed control of convection diffusion PDEs ⋮ An unfitted HDG method for a distributed optimal control problem ⋮ An EDG Method for Distributed Optimal Control of Elliptic PDEs ⋮ Adaptive HDG methods for the Brinkman equations with application to optimal control ⋮ A superconvergent HDG method for distributed control of convection diffusion PDEs ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

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