• DocumentCode
    913777
  • Title

    A posteriori error estimation and adaptive meshing using error in constitutive relation

  • Author

    Remacle, J.F. ; Dular, P. ; Genon, A. ; Legros, W.

  • Author_Institution
    Inst. Montefiore, Liege Univ., Belgium
  • Volume
    32
  • Issue
    3
  • fYear
    1996
  • fDate
    5/1/1996 12:00:00 AM
  • Firstpage
    1369
  • Lastpage
    1372
  • Abstract
    The paper presents a method to control the quality of finite element solutions error in the constitutive relation. An a posteriori estimator is built up. Its construction is general and gives quantitative results about the accuracy of the solution. Both problems of control of quality and mesh optimisation are also discussed. Several examples are presented. A method used to compute a magnetic field that verifies Ampere´s law using only local calculations is presented
  • Keywords
    adaptive estimation; error analysis; finite element analysis; magnetic fields; optimisation; Ampere´s law; a posteriori error estimation; adaptive meshing; error control; finite element solutions error; magnetic field; mesh optimisation; quality control; solution accuracy; Computational efficiency; Electromagnetic devices; Equations; Error analysis; Error correction; Finite element methods; Magnetic field measurement; Magnetic fields; Magnetic flux; Magnetostatics; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.497501
  • Filename
    497501