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, Tugba; Yucel, HAMDULLAH; KARASÖZEN, BÜLENT

doi:10.1007/s10589-013-9601-4

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 (SCI-Expanded, Scopus)

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 (SCI-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
Middle East Technical University Affiliated: Yes

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.