Interpolation spaces and optimal multilevel preconditioners:
Abstract: "This paper throws light on the connection between the optimal condition number estimate for the BPX method and constructive approximation theory. We provide a machinery, which allows to understand the optimality as a consequence of an approximation property and an inverse ineqality i...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
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| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1993,33 |
| Subjects: | |
| Summary: | Abstract: "This paper throws light on the connection between the optimal condition number estimate for the BPX method and constructive approximation theory. We provide a machinery, which allows to understand the optimality as a consequence of an approximation property and an inverse ineqality in H[superscript 1 + epsilon], [epsilon]> 0. This machinery constructs so-called approximation spaces, which characterize a certain rate of approximation by finite elements and relates them with interpolation spaces, which characterize a certain smoothness." |
| Physical Description: | 6 S. |
Staff View
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,33 | |
| 520 | 3 | |a Abstract: "This paper throws light on the connection between the optimal condition number estimate for the BPX method and constructive approximation theory. We provide a machinery, which allows to understand the optimality as a consequence of an approximation property and an inverse ineqality in H[superscript 1 + epsilon], [epsilon]> 0. This machinery constructs so-called approximation spaces, which characterize a certain rate of approximation by finite elements and relates them with interpolation spaces, which characterize a certain smoothness." | |
| 650 | 4 | |a Approximation theory | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,33 |w (DE-604)BV004801715 |9 1993,33 | |
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Record in the Search Index
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| id | DE-604.BV009253709 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:33:58Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006158293 |
| oclc_num | 31508790 |
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| physical | 6 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Bornemann, Folkmar 1967- Verfasser (DE-588)120096269 aut Interpolation spaces and optimal multilevel preconditioners Folkmar A. Bornemann Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993 6 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,33 Abstract: "This paper throws light on the connection between the optimal condition number estimate for the BPX method and constructive approximation theory. We provide a machinery, which allows to understand the optimality as a consequence of an approximation property and an inverse ineqality in H[superscript 1 + epsilon], [epsilon]> 0. This machinery constructs so-called approximation spaces, which characterize a certain rate of approximation by finite elements and relates them with interpolation spaces, which characterize a certain smoothness." Approximation theory Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,33 (DE-604)BV004801715 1993,33 |
| spellingShingle | Bornemann, Folkmar 1967- Interpolation spaces and optimal multilevel preconditioners Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Approximation theory |
| title | Interpolation spaces and optimal multilevel preconditioners |
| title_auth | Interpolation spaces and optimal multilevel preconditioners |
| title_exact_search | Interpolation spaces and optimal multilevel preconditioners |
| title_full | Interpolation spaces and optimal multilevel preconditioners Folkmar A. Bornemann |
| title_fullStr | Interpolation spaces and optimal multilevel preconditioners Folkmar A. Bornemann |
| title_full_unstemmed | Interpolation spaces and optimal multilevel preconditioners Folkmar A. Bornemann |
| title_short | Interpolation spaces and optimal multilevel preconditioners |
| title_sort | interpolation spaces and optimal multilevel preconditioners |
| topic | Approximation theory |
| topic_facet | Approximation theory |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT bornemannfolkmar interpolationspacesandoptimalmultilevelpreconditioners |