2010 | OriginalPaper | Buchkapitel
On the Optimization of Steady Bingham Flow in Pipes
verfasst von : Juan Carlos De Los Reyes
Erschienen in: Recent Advances in Optimization and its Applications in Engineering
Verlag: Springer Berlin Heidelberg
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Optimal control problems of Bingham fluid flow in pipes are considered. After introducing a family of regularized problems, convergence of the regularized solutions towards the orignal one is verified. An optimality condition for the original problem is obtained as limit of the regularized optimality systems. For the solution of each regularized system a semismooth Newton algorithm is proposed.