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, vol.57, no.3, pp.703-729, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 3
  • Publication Date: 2014
  • Doi Number: 10.1007/s10589-013-9601-4
  • Journal Name: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.703-729
  • Keywords: Unsteady convection diffusion equations, Optimal control, Discontinuous Galerkin methods, A priori error estimates, FINITE-ELEMENT METHODS, DISCRETIZATION, STRATEGY

Abstract

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.