An all-at-once approach for the optimal control of the unsteady Burgers equation

Date

2014-03-15

Author

Yilmaz, Fikriye
Karasözen, Bülent

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We apply an all-at-once method for the optimal control of the unsteady Burgers equation. The nonlinear Burgers equation is discretized in time using the semi-implicit discretization and the resulting first order optimality conditions are solved iteratively by Newton's method. The discretize then optimize approach is used, because it leads to a symmetric indefinite saddle point problem. Numerical results for the distributed unconstrained and control constrained problems illustrate the performance of the all-at-once approach with semi-implicit time discretization.

Subject Keywords

Optimal control, Burgers equation, All-at-once approach, Control constraints, Semi-implicit discretization

URI

https://hdl.handle.net/11511/31757

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI

https://doi.org/10.1016/j.cam.2013.06.036

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

F. Yilmaz and B. Karasözen, “An all-at-once approach for the optimal control of the unsteady Burgers equation,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 771–779, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31757.