Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids:
Abstract: "In combination with the multilevel principle, relaxation methods are among the most efficient numerical solution techniques for elliptic partial differential equations. Typical methods used today are derivations of the Gauss-Seidel or Gauss-Jacobi method. Recently it has been recogni...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
München
1993
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| Series: | Technische Universität <München>: TUM-I
9327 |
| Subjects: | |
| Summary: | Abstract: "In combination with the multilevel principle, relaxation methods are among the most efficient numerical solution techniques for elliptic partial differential equations. Typical methods used today are derivations of the Gauss-Seidel or Gauss-Jacobi method. Recently it has been recognized that in the context of multilevel algorithms, the original method suggested by Gauss has specific advantages. For this method the iteration is concentrated on unknowns where fast convergence can be obtained by intelligently monitoring the residuals. We will present this algorithm in the context of a sparse grid multigrid algorithm. Using sparse grids the dimension of the discrete approximation space can be reduced additionally." |
| Physical Description: | 14 S. graph. Darst. |
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| 490 | 1 | |a Technische Universität <München>: TUM-I |v 9327 | |
| 490 | 1 | |a Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A |v 1993,13 | |
| 520 | 3 | |a Abstract: "In combination with the multilevel principle, relaxation methods are among the most efficient numerical solution techniques for elliptic partial differential equations. Typical methods used today are derivations of the Gauss-Seidel or Gauss-Jacobi method. Recently it has been recognized that in the context of multilevel algorithms, the original method suggested by Gauss has specific advantages. For this method the iteration is concentrated on unknowns where fast convergence can be obtained by intelligently monitoring the residuals. We will present this algorithm in the context of a sparse grid multigrid algorithm. Using sparse grids the dimension of the discrete approximation space can be reduced additionally." | |
| 650 | 4 | |a Differential equations, Partial | |
| 700 | 1 | |a Rüde, Ulrich |d 1957- |e Verfasser |0 (DE-588)111660041 |4 aut | |
| 810 | 2 | |a A |t Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht |v 1993,13 |w (DE-604)BV004627888 |9 1993,13 | |
| 830 | 0 | |a Technische Universität <München>: TUM-I |v 9327 |w (DE-604)BV006185376 |9 9327 | |
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Record in the Search Index
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| author | Pflaum, Christoph 1967- Rüde, Ulrich 1957- |
| author_GND | (DE-588)113828934 (DE-588)111660041 |
| author_facet | Pflaum, Christoph 1967- Rüde, Ulrich 1957- |
| author_role | aut aut |
| author_sort | Pflaum, Christoph 1967- |
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| bvnumber | BV009130214 |
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| id | DE-604.BV009130214 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:31:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006051781 |
| oclc_num | 32526780 |
| open_access_boolean | |
| owner | DE-29T DE-12 DE-91G DE-BY-TUM |
| owner_facet | DE-29T DE-12 DE-91G DE-BY-TUM |
| physical | 14 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| record_format | marc |
| series | Technische Universität <München>: TUM-I |
| series2 | Technische Universität <München>: TUM-I Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A |
| spelling | Pflaum, Christoph 1967- Verfasser (DE-588)113828934 aut Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids Christoph Pflaum, Ulrich Rüde München 1993 14 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Technische Universität <München>: TUM-I 9327 Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht / A 1993,13 Abstract: "In combination with the multilevel principle, relaxation methods are among the most efficient numerical solution techniques for elliptic partial differential equations. Typical methods used today are derivations of the Gauss-Seidel or Gauss-Jacobi method. Recently it has been recognized that in the context of multilevel algorithms, the original method suggested by Gauss has specific advantages. For this method the iteration is concentrated on unknowns where fast convergence can be obtained by intelligently monitoring the residuals. We will present this algorithm in the context of a sparse grid multigrid algorithm. Using sparse grids the dimension of the discrete approximation space can be reduced additionally." Differential equations, Partial Rüde, Ulrich 1957- Verfasser (DE-588)111660041 aut A Sonderforschungsbereich Methoden und Werkzeuge für die Nutzung Paralleler Rechnerarchitekturen: SFB-Bericht 1993,13 (DE-604)BV004627888 1993,13 Technische Universität <München>: TUM-I 9327 (DE-604)BV006185376 9327 |
| spellingShingle | Pflaum, Christoph 1967- Rüde, Ulrich 1957- Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids Technische Universität <München>: TUM-I Differential equations, Partial |
| title | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids |
| title_auth | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids |
| title_exact_search | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids |
| title_full | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids Christoph Pflaum, Ulrich Rüde |
| title_fullStr | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids Christoph Pflaum, Ulrich Rüde |
| title_full_unstemmed | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids Christoph Pflaum, Ulrich Rüde |
| title_short | Gauß' adaptive relaxation for the multilevel solution of partial differential equations on sparse grids |
| title_sort | gauß adaptive relaxation for the multilevel solution of partial differential equations on sparse grids |
| topic | Differential equations, Partial |
| topic_facet | Differential equations, Partial |
| volume_link | (DE-604)BV004627888 (DE-604)BV006185376 |
| work_keys_str_mv | AT pflaumchristoph gaußadaptiverelaxationforthemultilevelsolutionofpartialdifferentialequationsonsparsegrids AT rudeulrich gaußadaptiverelaxationforthemultilevelsolutionofpartialdifferentialequationsonsparsegrids |