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Nonlinear Metamodeling of Bulky Data and Applications in Automotive Design

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Part of the book series: Mathematics in Industry ((TECMI,volume 17))

Abstract

We describe and discuss methods for nonlinear metamodeling of simulation databases featuring continuous exploration of simulation results, tolerance prediction, sensitivity analysis, and rapid interpolation of bulky FEMdata. Themethods have been implemented in the design-parameter optimization tool DesParO. Reallife applications from the automotive industry show their efficiency.

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References

  1. Buhmann, M.: Radial Basis Functions: Theory and Implementations. Cambridge University Press, Cambridge (2003)

    Book  MATH  Google Scholar 

  2. Donoho, D.: High-Dimensional Data Analysis: The Curses and Blessings of Dimensionality. Lecture on August 8, 2000, to the American Mathematical Society “Math Challenges of the 21st Century” (2000) Available from http://www-stat.stanford.edu/ donoho, last access date: February 1st (2012)

  3. Jones, D., Schonlau, M., Welch, W.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13, 455–492 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  4. Keane, A.J., Leary, S., Sobester, A.: On the design of optimization strategies based on global response surface approximation models. J. Global Optim. 33, 31–59 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Nikitina, L., Nikitin, I., Stork, A., Thole, C.A., Klimenko, S., Astakhov, Y.: Towards interactive simulation in automotive design. Vis. Comput. 24, 947–953 (2008)

    Article  Google Scholar 

  6. Nikitina, L., Nikitin, I., Thole, C.A., Steffes-lai, D., Kersten, R., Bruns, J.: Constrained optimization with DesParO. In: Proceedings of the Conference on Virtual Product Development in Automotive Engineering, Prien, 21–22 March 2007

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  7. Tukey, J.: Exploratory Data Analysis. Addison-Wesley, London (1997)

    Google Scholar 

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Correspondence to Lialia Nikitina .

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© 2012 Springer-Verlag Berlin Heidelberg

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Nikitin, I., Nikitina, L., Clees, T. (2012). Nonlinear Metamodeling of Bulky Data and Applications in Automotive Design. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_34

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