COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, vol.57, no.3, pp.703-729, 2014 (Peer-Reviewed Journal)
Article / Article
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Science Citation Index Expanded, Scopus
Unsteady convection diffusion equations, Optimal control, Discontinuous Galerkin methods, A priori error estimates, FINITE-ELEMENT METHODS, DISCRETIZATION, STRATEGY
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.