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Material Parameter Identification with Parallel Processing and Geo-applications

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Parallel Processing and Applied Mathematics (PPAM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7203))

Abstract

The paper describes numerical solution of material parameter identification problems, which arise in geo-applications and many other fields. We describe approach based on nonlinear least squares minimization using different optimization techniques (Nelder-Mead, gradient methods, genetic algorithms) as well as experience with OpenMP+MPI parallelization of the solution methods.

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References

  1. Andersson, J.C., Fälth, B., Kristensson, O.: Äspö pillar stability experiment TM back calculation. In: Advances on Coupled Thermo-Hydro-Mechanical-Chemical Processes in Geosystems and Engineering, pp. 675–680. HoHai University, Nanjing, China (2006)

    Google Scholar 

  2. Axelsson, O.: Iterative Solution Methods. Cambridge University Press, Cambridge (1994)

    MATH  Google Scholar 

  3. Blaheta, R., Kohut, R., Neytcheva, M., Starý, J.: Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling. Mathematics and Computers in Simulation 76, 18–27 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Blaheta, R., Jakl, O., Kohut, R., Starý, J.: GEM – A Platform for Advanced Mathematical Geosimulations. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds.) PPAM 2009. LNCS, vol. 6067, pp. 266–275. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  5. Cantu-Paz, E.: A Survey of Parallel Genetic Algorithms. Calculateurs Paralleles, Reseaux et Systems Repartis 10(2), 141–171 (1998)

    Google Scholar 

  6. Dennis, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia (1996)

    Book  MATH  Google Scholar 

  7. Dennis, J.E., Torczon, V.: Direct search methods on parallel machines. SIAM J. Optimization 1, 448–474 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  8. Haslinger, J., Jedelsky, D., Kozubek, T., Tvrdik, J.: Genetic and Random Search Methods in Optimal Shape Design Problems. Journal of Global Optimization 16, 109–131 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Kelley, C.T.: Iterative Methods for Optimization. SIAM, Philadelphia (1999)

    Book  MATH  Google Scholar 

  10. Kolda, T.G., Lewis, R.M., Torczon, V.: Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods. SIAM Review 45, 385–482 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Lee, D., Wiswall, M.: A Parallel Implementation of the Simplex Function Minimization Routine. Comput. Econ. 30, 171–187 (2007)

    Article  MATH  Google Scholar 

  12. Mhlenbein, H., Schlierkamp-Voosen, D.: Predictive models for the breeder genetic algorithm, I. Continuous parameter optimization. Evolutionary Computation 1(1), 25–49 (1993)

    Article  Google Scholar 

  13. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer (2006)

    Google Scholar 

  14. Toselli, A., Widlund, O.: Domain Decomposition Methods - Algorithms and Theory. Springer, Berlin (2005)

    MATH  Google Scholar 

  15. Vogel, C.R.: Computational Methods for Inverse Problems. Frontiers in Applied Mathematics, vol. (23). SIAM, Philadelphia (2002)

    Book  MATH  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Blaheta, R., Hrtus, R., Kohut, R., Axelsson, O., Jakl, O. (2012). Material Parameter Identification with Parallel Processing and Geo-applications. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31464-3_37

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  • DOI: https://doi.org/10.1007/978-3-642-31464-3_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31463-6

  • Online ISBN: 978-3-642-31464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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