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  • 1
    Electronic Resource
    Electronic Resource
    A basic norm equivalence for the theory of multilevel methods (1993)
    Springer
    Numerische Mathematik 64 (1993), S. 455-476 
    Details
    ISSN: 0945-3245
    Keywords: 65N55 ; 65N50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Subspace decompositions of finite element spaces based onL 2-like orthogonal projections play an important role for the construction and analysis of multigrid like iterative methods. Recently several authors have proved the equivalence of the associated discrete norms with theH 1-norm. The present paper gives an elementary, self-contained derivation of this result which is based on the use ofK-functionals known from the theory of interpolation spaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01388699
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