Stability estimates for hybrid coupled domain decomposition methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Lecture notes in mathematics
1809 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 120 S. Ill., graph. Darst. |
| ISBN: | 3540002774 |
Internformat
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| 245 | 1 | 0 | |a Stability estimates for hybrid coupled domain decomposition methods |c Olaf Steinbach |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a VI, 120 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Équations différentielles elliptiques | |
| 650 | 4 | |a Équations intégrales de frontière, Méthodes des | |
| 650 | 4 | |a Boundary element methods | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Elliptic | |
| 650 | 4 | |a Differential equations, Partial | |
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Datensatz im Suchindex
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| adam_text | Contents
Introduction 1
1 Preliminaries 7
1.1 Sobolev Spaces 7
1.2 Saddle Point Problems 10
1.3 Finite Element Spaces 14
1.4 Projection Operators 18
1.5 Quasi Interpolation Operators 22
2 Stability Results 25
2.1 Piecewise Linear Elements 34
2.2 Dual Finite Element Spaces 41
2.3 Higher Order Finite Element Spaces 44
2.4 Biorthogonal Basis Functions 48
3 The Dirichlet—Neumann Map for Elliptic Boundary Value
Problems 53
3.1 The Steklov Poincare Operator 56
3.2 The Newton potential 61
3.3 Approximation by Finite Element Methods 63
3.4 Approximation by Boundary Element Methods 66
4 Mixed Discretization Schemes 71
4.1 Variational Methods with Approximate Steklov Poincare
Operators 72
4.2 Lagrange Multiplier Methods 78
5 Hybrid Coupled Domain Decomposition Methods 85
5.1 Dirichlet Domain Decomposition Methods 87
5.2 A Two Level Method 94
5.3 Three Field Methods 97
VI Contents
5.4 Neumann Domain Decomposition Methods 103
5.5 Numerical Results 109
5.6 Concluding Remarks 114
References 117
|
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| author | Steinbach, Olaf 1967- |
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| id | DE-604.BV015470628 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:09:20Z |
| institution | BVB |
| isbn | 3540002774 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010110063 |
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| physical | VI, 120 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Steinbach, Olaf 1967- Verfasser (DE-588)128588756 aut Stability estimates for hybrid coupled domain decomposition methods Olaf Steinbach Berlin [u.a.] Springer 2003 VI, 120 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1809 ANÁLISE NUMÉRICA larpcal EQUAÇÕES DIFERENCIAIS PARCIAIS ELITICAS (ANÁLISE NUMÉRICA) larpcal Numerieke wiskunde gtt Problèmes aux limites Équations aux dérivées partielles Équations différentielles elliptiques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Differential equations, Elliptic Differential equations, Partial Stabilität (DE-588)4056693-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 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 Gebietszerlegungsmethode (DE-588)4309232-9 s Stabilität (DE-588)4056693-6 s DE-604 Lecture notes in mathematics 1809 (DE-604)BV000676446 1809 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010110063&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Steinbach, Olaf 1967- Stability estimates for hybrid coupled domain decomposition methods Lecture notes in mathematics ANÁLISE NUMÉRICA larpcal EQUAÇÕES DIFERENCIAIS PARCIAIS ELITICAS (ANÁLISE NUMÉRICA) larpcal Numerieke wiskunde gtt Problèmes aux limites Équations aux dérivées partielles Équations différentielles elliptiques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Differential equations, Elliptic Differential equations, Partial Stabilität (DE-588)4056693-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4044779-0 (DE-588)4309232-9 (DE-588)4048395-2 |
| title | Stability estimates for hybrid coupled domain decomposition methods |
| title_auth | Stability estimates for hybrid coupled domain decomposition methods |
| title_exact_search | Stability estimates for hybrid coupled domain decomposition methods |
| title_full | Stability estimates for hybrid coupled domain decomposition methods Olaf Steinbach |
| title_fullStr | Stability estimates for hybrid coupled domain decomposition methods Olaf Steinbach |
| title_full_unstemmed | Stability estimates for hybrid coupled domain decomposition methods Olaf Steinbach |
| title_short | Stability estimates for hybrid coupled domain decomposition methods |
| title_sort | stability estimates for hybrid coupled domain decomposition methods |
| topic | ANÁLISE NUMÉRICA larpcal EQUAÇÕES DIFERENCIAIS PARCIAIS ELITICAS (ANÁLISE NUMÉRICA) larpcal Numerieke wiskunde gtt Problèmes aux limites Équations aux dérivées partielles Équations différentielles elliptiques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Differential equations, Elliptic Differential equations, Partial Stabilität (DE-588)4056693-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | ANÁLISE NUMÉRICA EQUAÇÕES DIFERENCIAIS PARCIAIS ELITICAS (ANÁLISE NUMÉRICA) Numerieke wiskunde Problèmes aux limites Équations aux dérivées partielles Équations différentielles elliptiques Équations intégrales de frontière, Méthodes des Boundary element methods Boundary value problems Differential equations, Elliptic Differential equations, Partial Stabilität Partielle Differentialgleichung Gebietszerlegungsmethode Randwertproblem |
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| work_keys_str_mv | AT steinbacholaf stabilityestimatesforhybridcoupleddomaindecompositionmethods |