Adaptive symmetric interior penalty Galerkin method for boundary control problems / Peter Benner, Hamdullah Yücel
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Adaptive symmetric interior penalty Galerkin method for boundary control problems
Discovery
870921940
URN
urn:nbn:de:gbv:3:2-64796
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Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, August 8, 2015
Content
1 Online-Ressource (32 Seiten = 3,29 MB) : Diagramme
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Language
eng
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Abstract
Abstract: 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.
Series
Max Planck Institute Magdeburg Preprints ; 15-13 ppn:870173030