Residual based a posteriori error estimation for Dirichlet boundary control problems

Yücel H.

FGS’2019 - 19th French-German-Swiss conference on Optimization, Nice, France, 17 - 20 September 2019, vol.71, pp.185-195

  • Publication Type: Conference Paper / Full Text
  • Volume: 71
  • Doi Number: 10.1051/proc/202171185
  • City: Nice
  • Country: France
  • Page Numbers: pp.185-195
  • Middle East Technical University Affiliated: Yes

Abstract

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.