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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2017 / Cilt: 7 - Sayı: 2

STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS

Z. KANAR-SEYMEN
B KARASÖZEN
T. AKMAN
Pages
221–235
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The numerical results confirm the theoretically observed convergence rates

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The streamline upwind/Petrov Galerkin (SUPG) finite element method isstudied for distributed optimal control problems governed by unsteady diffusion-convectionreaction equations with control constraints.
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Key Findings & Data:We show that by balancingthe error terms in the convection dominated regime, optimal convergence rates can beobtained.
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Conclusion & Impact:The numerical results confirm the theoretically observed convergence rates
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The streamline upwind/Petrov Galerkin (SUPG) finite element method isstudied for distributed optimal control problems governed by unsteady diffusion-convectionreaction equations with control constraints. We derive stability and convergence estimates for fully-discrete state, adjoint and control and discuss the choice of the stabilization parameter by applying backward Euler method in time. We show that by balancingthe error terms in the convection dominated regime, optimal convergence rates can beobtained. The numerical results confirm the theoretically observed convergence rates

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Cite This Article

KANAR-SEYMEN, Z., KARASÖZEN, B., AKMAN, T. (2017). STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 7 - Sayı: 2, 221–235. https://ajindex.com/articles/327510

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References (12)

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