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, cilt.57, sa.3, ss.703-729, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 57 Sayı: 3
Basım Tarihi: 2014
Doi Numarası: 10.1007/s10589-013-9601-4
Dergi Adı: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.703-729
Anahtar Kelimeler: Unsteady convection diffusion equations, Optimal control, Discontinuous Galerkin methods, A priori error estimates, FINITE-ELEMENT METHODS, DISCRETIZATION, STRATEGY
Orta Doğu Teknik Üniversitesi Adresli: Evet

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.