Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints
OPTIMIZATION, cilt.63, sa.1, ss.145-166, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 63 Sayı: 1
- Basım Tarihi: 2014
- Doi Numarası: 10.1080/02331934.2013.801474
- Dergi Adı: OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.145-166
- Anahtar Kelimeler: optimal control problems, control constraints, convection dominated equations, discontinuous Galerkin method, a posteriori error estimates, POSTERIORI ERROR ANALYSIS, FINITE-ELEMENT METHODS
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we study a posteriori error estimates of the upwind symmetric interior penalty Galerkin (SIPG) method for the control constrained optimal control problems governed by linear diffusion-convection-reaction partial differential equations. Residual based error estimators are used for the state, the adjoint and the control. An adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical examples are presented for convection dominated problems to illustrate the theoretical findings and the effectiveness of the adaptivity.