A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations


AKMAN T., Yucel H. , KARASÖZEN B.

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, cilt.57, ss.703-729, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 57 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s10589-013-9601-4
  • Dergi Adı: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
  • Sayfa Sayıları: ss.703-729

Özet

In this paper, we analyze the symmetric interior penalty Galerkin (SIPG) for distributed optimal control problems governed by unsteady convection diffusion equations with control constraint bounds. A priori error estimates are derived for the semi- and fully-discrete schemes by using piecewise linear functions. Numerical results are presented, which verify the theoretical results.