A basic norm equivalence for the theory of multilevel methods:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
1992
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint
1992,1 |
| Schlagwörter: | |
| Abstract: | 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." |
| Umfang: | 21 S. |
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| 100 | 1 | |a Bornemann, Folkmar |d 1967- |e Verfasser |0 (DE-588)120096269 |4 aut | |
| 245 | 1 | 0 | |a A basic norm equivalence for the theory of multilevel methods |c Folkmar Bornemann ; Harry Yserentant |
| 264 | 1 | |a Berlin |c 1992 | |
| 300 | |a 21 S. | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |v 1992,1 | |
| 520 | 3 | |a 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." | |
| 650 | 4 | |a Finite element method | |
| 700 | 1 | |a Yserentant, Harry |d 1952- |e Verfasser |0 (DE-588)141509813 |4 aut | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |v 1992,1 |w (DE-604)BV004801715 |9 1992,1 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002954360 | |
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| id | DE-604.BV004803751 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:23:08Z |
| institution | BVB |
| language | English |
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| physical | 21 S. |
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| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint |
| spelling | Bornemann, Folkmar 1967- Verfasser (DE-588)120096269 aut A basic norm equivalence for the theory of multilevel methods Folkmar Bornemann ; Harry Yserentant Berlin 1992 21 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint 1992,1 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." Finite element method Yserentant, Harry 1952- Verfasser (DE-588)141509813 aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint 1992,1 (DE-604)BV004801715 1992,1 |
| spellingShingle | Bornemann, Folkmar 1967- Yserentant, Harry 1952- A basic norm equivalence for the theory of multilevel methods Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint Finite element method |
| title | A basic norm equivalence for the theory of multilevel methods |
| title_auth | A basic norm equivalence for the theory of multilevel methods |
| title_exact_search | A basic norm equivalence for the theory of multilevel methods |
| title_full | A basic norm equivalence for the theory of multilevel methods Folkmar Bornemann ; Harry Yserentant |
| title_fullStr | A basic norm equivalence for the theory of multilevel methods Folkmar Bornemann ; Harry Yserentant |
| title_full_unstemmed | A basic norm equivalence for the theory of multilevel methods Folkmar Bornemann ; Harry Yserentant |
| title_short | A basic norm equivalence for the theory of multilevel methods |
| title_sort | a basic norm equivalence for the theory of multilevel methods |
| topic | Finite element method |
| topic_facet | Finite element method |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT bornemannfolkmar abasicnormequivalenceforthetheoryofmultilevelmethods AT yserentantharry abasicnormequivalenceforthetheoryofmultilevelmethods |