ADAPTIVE SYMMETRIC INTERIOR PENALTY GALERKIN METHOD FOR BOUNDARY CONTROL PROBLEMS
SIAM JOURNAL ON NUMERICAL ANALYSIS, cilt.55, sa.2, ss.1101-1133, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.1137/15m1034507
- Dergi Adı: SIAM JOURNAL ON NUMERICAL ANALYSIS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1101-1133
- Anahtar Kelimeler: a posteriori error analysis, optimal boundary control problems, control constraints, adaptive finite element methods, discontinuous Galerkin methods, CONSTRAINED OPTIMAL-CONTROL, POSTERIORI ERROR ANALYSIS, CONVECTION-DIFFUSION EQUATIONS, PARTIAL-DIFFERENTIAL-EQUATIONS, FINITE-ELEMENT APPROXIMATION, 2ND-ORDER ELLIPTIC PROBLEMS, VARIATIONAL DISCRETIZATION, CONVERGENCE, STRATEGY
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We investigate an a posteriori error analysis of adaptive finite element approximations of linear-quadratic boundary optimal control problems under bilateral box constraints, which act on a Neumann boundary control. We use a symmetric interior Galerkin method as discretization technique. An efficient and reliable residual-type error estimator is introduced by invoking data oscillations. We then derive local upper and lower a posteriori error estimates for the boundary control problem. Adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical results are presented to illustrate the performance of the adaptive finite element approximation.