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Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization
Date
2014-07-01
Author
Karasözen, Bülent
YILMAZ, FİKRİYE NURAY
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Optimal control
,
Burgers equation
,
Finite elements
,
Biharmonic equation
,
COMSOL Multiphysics
URI
https://hdl.handle.net/11511/30230
Journal
OPTIMAL CONTROL APPLICATIONS & METHODS
DOI
https://doi.org/10.1002/oca.2079
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
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BibTeX
B. Karasözen and F. N. YILMAZ, “Optimal boundary control of the unsteady Burgers equation with simultaneous space-time discretization,”
OPTIMAL CONTROL APPLICATIONS & METHODS
, vol. 35, no. 4, pp. 423–434, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30230.