Semideterministic Global Optimization Method: Application to a Control Problem of the Burgers Equation |
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| Authors: | B Ivorra A M Ramos B Mohammadi |
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| Institution: | (1) Department of Applied Mathematics, Faculty of Mathematical Sciences, Universidad Complutense de Madrid, Madrid, Spain;(2) Mathematics and Modeling Institute, Montpellier, France |
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| 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. |
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| Keywords: | Global optimization Semideterministic algorithm Genetic algorithm Optimal control problem Burgers equation |
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