Geodesic
Residual based a posteriori error estimation for Dirichlet boundary control problems
Hamdullah Yücel1
1Institute of Applied Mathematics, Middle East Technical University, 06800 Ankara, Turkey
ESAIM. Proceedings, Tome 71 (2021), pp. 185-195

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We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method with upwinding for the convection term. With the usage of LDG method, the control variable naturally exists in the variational form due to its mixed finite element structure. We also demonstrate the application of our a posteriori error estimator for the adaptive solution of these optimal control problems.
DOI : 10.1051/proc/202171185

Hamdullah Yücel  1

1 Institute of Applied Mathematics, Middle East Technical University, 06800 Ankara, Turkey 
Hamdullah Yücel. Residual based a posteriori error estimation for Dirichlet boundary control problems. ESAIM. Proceedings, Tome 71 (2021), pp. 185-195. doi: 10.1051/proc/202171185
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     author = {Hamdullah Y\"ucel},
     title = {Residual based a posteriori error estimation for {Dirichlet} boundary control problems},
     journal = {ESAIM. Proceedings},
     pages = {185--195},
     year = {2021},
     volume = {71},
     doi = {10.1051/proc/202171185},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202171185/}
}
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