Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization
Yazarlar (4)
Öğr. Gör. Dr. Gülnur HAÇAT YILMAZOĞLU
Gazi Üniversitesi, Türkiye
Fikriye Yılmaz
Gazi Üniversitesi, Türkiye
Aytekin Çıbık
Gazi Üniversitesi, Türkiye
Songül Kaya
Middle East Technical University (Metu), Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation (Q1) | ||
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2022 |
| Cilt / Sayı / Sayfa | 430 / 1 / – | DOI | 10.1016/j.amc.2022.127240 |
| Makale Linki | http://dx.doi.org/10.1016/j.amc.2022.127240 | ||
| Özet |
| This paper presents a family of implicit-explicit (IMEX) time stepping scheme for the optimal control problem of the unsteady Navier-Stokes equations (NSE). The main feature of this kind of optimal control problem is that stabilization terms are proportional to discrete curvature of the solutions. First and second order optimality conditions are used for optimality of the curvature based stabilized Navier-Stokes equations. Complete stability and error analyses of state, adjoint and control variables are presented. Numerical experiments verify theoretical findings and illustrate the improvement of approximate solutions enhancing the efficiency of numerical scheme. |
| Anahtar Kelimeler |
| Finite element method | Navier-Stokes equations | Optimal control | Curvature stabilization |
Science Direct
Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization
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