• DocumentCode
    3107565
  • Title

    Computing the Effective Hamiltonian using a Variational Approach

  • Author

    Gomes, Diogo A. ; Oberman, Adam M.

  • fYear
    2005
  • fDate
    12-15 Dec. 2005
  • Firstpage
    729
  • Lastpage
    733
  • Abstract
    A numerical method for homogenization of Hamilton-Jacobi equations is presented and implemented as an L∞calculus of variations problem. Solutions are found by solving a nonlinear convex optimization problem. The numerical method is shown to be convergent and error estimates are provided. Several examples are worked in detail, including the cases of non-strictly convex Hamiltonians and Hamiltonians for which the cell problem has no solution.
  • Keywords
    Calculus; Combustion; Difference equations; Eigenvalues and eigenfunctions; Extraterrestrial measurements; Nonlinear equations; Optimization methods; Partial differential equations; Particle measurements; Viscosity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
  • Print_ISBN
    0-7803-9567-0
  • Type

    conf

  • DOI
    10.1109/CDC.2005.1582243
  • Filename
    1582243
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3107565