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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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

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.