Residual based a posteriori error estimation for Dirichlet boundary control problems

Yücel H.

FGS’2019 - 19th French-German-Swiss conference on Optimization, Nice, Fransa, 17 - 20 Eylül 2019, cilt.71, ss.185-195

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 71
  • Doi Numarası: 10.1051/proc/202171185
  • Basıldığı Şehir: Nice
  • Basıldığı Ülke: Fransa
  • Sayfa Sayıları: ss.185-195
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.