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  • 65N15  (1)
  • 1985-1989  (1)
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  • 1985-1989  (1)
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    Electronic Resource
    Electronic Resource
    Estimation of the effect of numerical integration in finite element eigenvalue approximation (1989)
    Springer
    Numerische Mathematik 56 (1989), S. 735-762 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65D30 ; 65N15 ; 65N25 ; 65N30 ; CR: G 1.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Finite element approximations of the eigenpairs of differential operators are computed as eigenpairs of matrices whose elements involve integrals which must be evaluated by numerical integration. The effect of this numerical integration on the eigenvalue and eigenfunction error is estimated. Specifically, for 2nd order selfadjoint eigenvalue problems we show that finite element approximations with quadrature satisfy the well-known estimates for approximations without quadrature, provided the quadrature rules have appropriate degrees of precision.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01405286
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