Preprint No. MPIMD/15-13

Title: Adaptive Symmetric Interior Penalty Galerkin method for boundary control problems

Author(s): Peter Benner, Hamdullah Yücel


Date: 2015-08-08


We investigate an a posteriori error analysis of adaptive finite element approximations of linear-quadratic boundary optimal control problems under bilateral bound constraints, which act on a Neumann boundary condition. We use a symmetric interior penalty Galerkin (SIPG) method as discretization method. An efficient and reliable residual-type error estimator is introduced by invoking data oscillations. We then derive local upper and lower a posteriori error estimates for the boundary control problem. Adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical results are presented to illustrate the performance of the adaptive finite element approximation.


author = {Peter Benner and Hamdullah Yücel},
title = {Adaptive Symmetric Interior Penalty Galerkin method for boundary control problems},
number = {MPIMD/15-13},
month = aug,
year = 2015,
institution = {Max Planck Institute Magdeburg},
type = {Preprint},
note = {Available from \url{}},

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