• DocumentCode
    358687
  • Title

    Galerkin approximation for thermoelastic models

  • Author

    Fabiano, R.H.

  • Author_Institution
    Dept. of Math. Sci., North Carolina Univ., Greensboro, NC, USA
  • Volume
    4
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2755
  • Abstract
    We consider the coupled partial differential equations which arise in modeling linear thermoelastic structures. For a specific example, we show how to construct a norm which is equivalent to the energy norm, but which improves upon the dissipative inequality given by the energy norm. Such a norm can then be used for Galerkin approximation of the original model, and leads to improved stability behavior
  • Keywords
    Galerkin method; approximation theory; flexible structures; linear systems; partial differential equations; Galerkin approximation; dissipative inequality; elastic structure; energy norm; partial differential equations; thermoelastic models; Approximation methods; Buildings; Eigenvalues and eigenfunctions; Mathematical model; Mathematics; Moment methods; Optical coupling; Partial differential equations; Thermal stability; Thermoelasticity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2000. Proceedings of the 2000
  • Conference_Location
    Chicago, IL
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-5519-9
  • Type

    conf

  • DOI
    10.1109/ACC.2000.878711
  • Filename
    878711