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Dergiler / Turkish Journal of Mathematics / 2018 / Cilt: 42 - Sayı: 1

Variational multiscale method for the optimal control problems ofconvection{diffusion{reaction equations

Aytekin Bayram ÇIBIK
Fikriye Nuray YILMAZ
Sayfa
164–180
Yayın Tarihi
2022-11-03
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Through numerical examples,we show the efficiency of the stabilization for the solutions of the control, state, and adjoint variables

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we analyze a projection-based variational multiscale (VMS) method for the optimal controlproblems governed by the convection{diffusion{reaction equations.
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Temel Bulgular & Veri:We derive the rst-order optimality conditions by theoptimize-then-discretizemethod.
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Sonuç & Katkı:Through numerical examples,we show the efficiency of the stabilization for the solutions of the control, state, and adjoint variables
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we analyze a projection-based variational multiscale (VMS) method for the optimal controlproblems governed by the convection{diffusion{reaction equations. We derive the rst-order optimality conditions by theoptimize-then-discretizemethod. After expressing the discrete optimal control problem, we obtain the stability propertiesof state and adjoint variables. We also prove that the error in each variable is optimal. Through numerical examples,we show the efficiency of the stabilization for the solutions of the control, state, and adjoint variables

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Bu Makaleye Atıf Yap

ÇIBIK, A. B., YILMAZ, F. N. (2022). Variational multiscale method for the optimal control problems ofconvection{diffusion{reaction equations. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 1, 164–180. https://ajindex.com/articles/607819

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Kaynakça (14)

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