Discretization Methods and Iterative Solvers Based on Domain Decomposition:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
|
| Schriftenreihe: | Lecture Notes in Computational Science and Engineering
17 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity |
| Beschreibung: | 1 Online-Ressource (X, 199p. 82 illus) |
| ISBN: | 9783642567674 9783540410836 |
| ISSN: | 1439-7358 |
| DOI: | 10.1007/978-3-642-56767-4 |
Internformat
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Datensatz im Suchindex
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| issn | 1439-7358 |
| language | English |
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| series2 | Lecture Notes in Computational Science and Engineering |
| spelling | Wohlmuth, Barbara 1967- Verfasser (DE-588)11316520X aut Discretization Methods and Iterative Solvers Based on Domain Decomposition by Barbara I. Wohlmuth Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (X, 199p. 82 illus) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Computational Science and Engineering 17 1439-7358 Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity Mathematics Computer science Engineering Computational Science and Engineering Math Applications in Computer Science Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Diskretisierung (DE-588)4012469-1 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Gebietszerlegungsmethode (DE-588)4309232-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s Diskretisierung (DE-588)4012469-1 s Iteration (DE-588)4123457-1 s Gebietszerlegungsmethode (DE-588)4309232-9 s 1\p DE-604 https://doi.org/10.1007/978-3-642-56767-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wohlmuth, Barbara 1967- Discretization Methods and Iterative Solvers Based on Domain Decomposition Mathematics Computer science Engineering Computational Science and Engineering Math Applications in Computer Science Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Diskretisierung (DE-588)4012469-1 gnd Iteration (DE-588)4123457-1 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4012469-1 (DE-588)4123457-1 (DE-588)4309232-9 (DE-588)4048395-2 |
| title | Discretization Methods and Iterative Solvers Based on Domain Decomposition |
| title_auth | Discretization Methods and Iterative Solvers Based on Domain Decomposition |
| title_exact_search | Discretization Methods and Iterative Solvers Based on Domain Decomposition |
| title_full | Discretization Methods and Iterative Solvers Based on Domain Decomposition by Barbara I. Wohlmuth |
| title_fullStr | Discretization Methods and Iterative Solvers Based on Domain Decomposition by Barbara I. Wohlmuth |
| title_full_unstemmed | Discretization Methods and Iterative Solvers Based on Domain Decomposition by Barbara I. Wohlmuth |
| title_short | Discretization Methods and Iterative Solvers Based on Domain Decomposition |
| title_sort | discretization methods and iterative solvers based on domain decomposition |
| topic | Mathematics Computer science Engineering Computational Science and Engineering Math Applications in Computer Science Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Diskretisierung (DE-588)4012469-1 gnd Iteration (DE-588)4123457-1 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Mathematics Computer science Engineering Computational Science and Engineering Math Applications in Computer Science Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Partielle Differentialgleichung Diskretisierung Iteration Gebietszerlegungsmethode Randwertproblem |
| url | https://doi.org/10.1007/978-3-642-56767-4 |
| work_keys_str_mv | AT wohlmuthbarbara discretizationmethodsanditerativesolversbasedondomaindecomposition |