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

Author

Listed:
  • B. Ivorra

    (Universidad Complutense de Madrid)

  • A. M. Ramos

    (Universidad Complutense de Madrid)

  • B. Mohammadi

    (Mathematics and Modeling Institute)

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.

Suggested Citation

  • B. Ivorra & A. M. Ramos & B. Mohammadi, 2007. "Semideterministic Global Optimization Method: Application to a Control Problem of the Burgers Equation," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 549-561, December.
    • Handle: RePEc:spr:joptap:v:135:y:2007:i:3:d:10.1007_s10957-007-9251-8
    DOI: 10.1007/s10957-007-9251-8
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    References listed on IDEAS

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    1. A.M. Ramos & R. Glowinski & J. Periaux, 2002. "Pointwise Control of the Burgers Equation and Related Nash Equilibrium Problems: Computational Approach," Journal of Optimization Theory and Applications, Springer, vol. 112(3), pages 499-516, March.
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    Cited by:

    1. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.
    2. Miguel Carrasco & Benjamin Ivorra & Angel Manuel Ramos, 2012. "A Variance-Expected Compliance Model for Structural Optimization," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 136-151, January.

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