• DocumentCode
    2844386
  • Title

    A Numerical Method for Parabolic Inverse Problems

  • Author

    Liu, Tang

  • Author_Institution
    Dept. of Math., Tianjin Univ. of Finance & Econ., Tianjin, China
  • fYear
    2009
  • fDate
    11-13 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, a large class of parabolic inverse problem is transformed into a nonclassical parabolic equation whose coefficients consist of trace type functional of the solution and its derivatives are subject to some initial and boundary conditions. This nonclassical problem is approximated numerically by the finite element method, and the optimal convergence rate of order O(hr+1) is obtained for the r th-order finite elements.
  • Keywords
    finite element analysis; inverse problems; parabolic equations; boundary conditions; finite element method; initial conditions; nonclassical parabolic equation; numerical method; optimal convergence rate; parabolic inverse problems; trace type functional; Boundary conditions; Convergence of numerical methods; Differential equations; Finance; Finite difference methods; Finite element methods; Inverse problems; Mathematics; Temperature distribution; Thermal conductivity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4507-3
  • Electronic_ISBN
    978-1-4244-4507-3
  • Type

    conf

  • DOI
    10.1109/CISE.2009.5364992
  • Filename
    5364992
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2844386