Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization

KARASÖZEN B., YILMAZ F. N.

OPTIMAL CONTROL APPLICATIONS & METHODS, cilt.35, sa.4, ss.423-434, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/oca.2079
  • Dergi Adı: OPTIMAL CONTROL APPLICATIONS & METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-434
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The optimality system for boundary controlled unsteady Burgers equation is transformed after linearization into a biharmonic equation in the space-time domain. It is then discretized in space and time simultaneously, so that standard finite element software can be easily implemented. Numerical experiments with and without control constraint problems confirm the applicability of this approach. Copyright (C) 2013 John Wiley & Sons, Ltd.