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 have proved the equivalence of the associated discrete norms with the H1-norm. The present paper 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.
Original language | English |
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Pages (from-to) | 455-476 |
Number of pages | 22 |
Journal | Numerische Mathematik |
Volume | 64 |
Issue number | 1 |
DOIs | |
State | Published - Dec 1993 |
Externally published | Yes |
Keywords
- Mathematics Subject Classification (1991): 65N55, 65N50