• DocumentCode
    1908761
  • Title

    Adaptive finite element method based on superconvergence

  • Author

    Demidov, Aleksander G. ; Yarevsky, Evgeny

  • Author_Institution
    Dept. of Phys., St.-Petersburg State Univ., Russia
  • fYear
    2009
  • fDate
    26-29 May 2009
  • Firstpage
    197
  • Lastpage
    201
  • Abstract
    The h-refinement algorithm based on superconvergence in the framework of the finite element method is presented. The algorithm is applied to the bound state calculations in the few-body quantum systems. The efficiency and accuracy of the approach is illustrated with the one-dimensional quadratic oscillator and with the neon trimer described by the three-dimensional Schrödinger equation.
  • Keywords
    Schrodinger equation; convergence of numerical methods; finite element analysis; quantum theory; adaptive finite element method; bound state calculations; few-body quantum systems; h-refinement algorithm; neon trimer; one-dimensional quadratic oscillator; superconvergence; three-dimensional Schrodinger equation; Accuracy; Diffraction; Eigenvalues and eigenfunctions; Error analysis; Finite element methods; Mathematical model; Stationary state;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2009 Proceedings of the International Conference
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4244-4874-6
  • Type

    conf

  • Filename
    5562604
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1908761