• DocumentCode
    3240639
  • Title

    Parameter estimation in the multidimensional Stefan problem

  • Author

    Murphy, K.A.

  • Author_Institution
    Dept. of Math., North Carolina Univ., Chapel Hill, NC, USA
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Firstpage
    608
  • Abstract
    A numerical algorithm for the estimation of unknown parameters in the multidimensional Stefan problem is described. The moving boundary is treated as an additional unknown parameter, rather than as a dynamic state of the system. A similar algorithm has been tested for the one-dimensional Stefan problem and appears to be robust under noisy observations. A convergence result is stated, and results for a simpler numerical example are presented
  • Keywords
    convergence; distributed parameter systems; heat transfer; parameter estimation; convergence; distributed parameter systems; heat transfer; multidimensional Stefan problem; noisy observations; one-dimensional Stefan problem; parameter estimation; Boundary conditions; Convergence of numerical methods; Differential equations; Ice; Mathematics; Multidimensional systems; Parameter estimation; Partial differential equations; Robustness; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70189
  • Filename
    70189