• DocumentCode
    2814219
  • Title

    High Accuracy Nystrom Methods for Solving Mixed BIES of Scattering Problems

  • Author

    Peng, Jiangyan ; Huang, Jin

  • Author_Institution
    Sch. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
  • fYear
    2009
  • fDate
    11-13 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    This paper presents high accuracy Nystrom methods (NM) for solving mixed boundary integral equations of scattering problems. We show that errors of the algorithm possess asymptotic expansions with the third power on the mesh parameter. Hence, the accuracy degree of approximations can be greatly improved by extrapolation algorithms (EA). Moreover, a posterior asymptotic error estimate is derived, which can be used to construct self-adaptive algorithms.
  • Keywords
    acoustic wave scattering; boundary integral equations; error analysis; extrapolation; Nystrom method; acoustic wave scattering; asymptotic expansion; extrapolation algorithm; mesh parameter; mixed boundary integral equation; posterior asymptotic error estimation; scattering problem; self-adaptive algorithm;
  • 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.2009.5363183
  • Filename
    5363183