TITLE

Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations

AUTHOR(S)
Yücel, Hamdullah; Benner, Peter
PUB. DATE
September 2015
SOURCE
Computational Optimization & Applications;Sep2015, Vol. 62 Issue 1, p291
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study a posteriori error estimates for the numerical approximations of state constrained optimal control problems governed by convection diffusion equations, regularized by Moreau-Yosida and Lavrentiev-based techniques. The upwind Symmetric Interior Penalty Galerkin (SIPG) method is used as a discontinuous Galerkin (DG) discretization method. We derive different residual-based error indicators for each regularization technique due to the regularity issues. An adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical examples are presented to illustrate the effectiveness of the adaptivity for both regularization techniques.
ACCESSION #
108998894

 

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