Semideterministic Global Optimization Method: Application to a Control Problem of the Burgers Equation

B. Ivorra, A. M. Ramos () and B. Mohammadi
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B. Ivorra: Universidad Complutense de Madrid
A. M. Ramos: Universidad Complutense de Madrid
B. Mohammadi: Mathematics and Modeling Institute

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 3, No 16, 549-561

Abstract: Abstract This paper has two objectives. We introduce a new global optimization algorithm reformulating optimization problems in terms of boundary-value problems. Then, we apply this algorithm to a pointwise control problem of the viscous Burgers equation, where the control weight coefficient is progressively decreased. The results are compared with those obtained with a genetic algorithm and an LM-BFGS algorithm in order to check the efficiency of our method and the necessity of using global optimization techniques.

Keywords: Global optimization; Semideterministic algorithm; Genetic algorithm; Optimal control problem; Burgers equation (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-007-9251-8

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