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  • 1995-1999
  • 1980-1984  (1)
  • 1984  (1)
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  • 1995-1999
  • 1980-1984  (1)
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    Electronic Resource
    Electronic Resource
    Superconvergence phenomenon in the finite element method arising from averaging gradients (1984)
    Springer
    Numerische Mathematik 45 (1984), S. 105-116 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS) 65 N 30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We study a superconvergence phenomenon which can be obtained when solving a 2nd order elliptic problem by the usual linear elements. The averaged gradient is a piecewise linear continuous vector field, the value of which at any nodal point is an average of gradients of linear elements on triangles incident with this nodal point. The convergence rate of the averaged gradient to an exact gradient in theL 2-norm can locally be higher even by one than that of the original piecewise constant discrete gradient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01379664
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