An all-at-once approach for the optimal control of the unsteady Burgers equation

YILMAZ F. N., KARASÖZEN B.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.259, ss.771-779, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 259
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.cam.2013.06.036
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.771-779
  • Anahtar Kelimeler: Optimal control, Burgers equation, All-at-once approach, Control constraints, Semi-implicit discretization, CONSTRAINED OPTIMAL-CONTROL, OPTIMIZATION, STRATEGY
  • Gazi Üniversitesi Adresli: Evet

Özet

We apply an all-at-once method for the optimal control of the unsteady Burgers equation. The nonlinear Burgers equation is discretized in time using the semi-implicit discretization and the resulting first order optimality conditions are solved iteratively by Newton's method. The discretize then optimize approach is used, because it leads to a symmetric indefinite saddle point problem. Numerical results for the distributed unconstrained and control constrained problems illustrate the performance of the all-at-once approach with semi-implicit time discretization. (C) 2013 Elsevier B.V. All rights reserved.