Volume 71, August 2021FGS’2019 - 19th French-German-Swiss conference on Optimization
|Page(s)||185 - 195|
|Published online||01 September 2021|
Residual based a posteriori error estimation for Dirichlet boundary control problems
Institute of Applied Mathematics, Middle East Technical University, 06800 Ankara, Turkey
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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.
© The authors. Published by EDP Sciences, SMAI 2021
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