˜Aœ basic norm equivalence for the theory of multilevel methods

Abstract: "Subspace decompositions of finite element spaces based on L₂-like orthogonal projections play an important role for the construction and analysis of multigrid like iterative methods. Recently several authors proved the equivalence of the associated discrete norms with the H¹-norm. Th...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Bornemann, Folkmar (VerfasserIn)
Weitere Verfasser: Yserentant, Harry (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Berlin 1992
Schriftenreihe:Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint 1992,1
Schlagworte:
Finite element method
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Beschreibung
Zusammenfassung:Abstract: "Subspace decompositions of finite element spaces based on L₂-like orthogonal projections play an important role for the construction and analysis of multigrid like iterative methods. Recently several authors proved the equivalence of the associated discrete norms with the H¹-norm. The present report gives an elementary, self-contained derivation of this result which is based on the use of K-functionals known from the theory of interpolation spaces."
Beschreibung:21 S.