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

• Autores: Fikriye Yilmaz, Bülent Karasözen
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 2, 2014, págs. 771-779
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.06.036
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• Resumen

  • 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.