Hodge decomposition: a method for solving boundary value problems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1995
|
| Schriftenreihe: | Lecture notes in mathematics
1607 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 155 S. |
| ISBN: | 3540600167 0387600167 |
Internformat
MARC
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| 100 | 1 | |a Schwarz, Günter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hodge decomposition |b a method for solving boundary value problems |c Günter Schwarz |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1995 | |
| 300 | |a 155 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1607 | |
| 650 | 4 | |a Décomposition (Mathématiques) | |
| 650 | 4 | |a Hodge, Théorie de | |
| 650 | 7 | |a Potentiaaltheorie |2 gtt | |
| 650 | 4 | |a Problèmes aux limites - Solutions numériques | |
| 650 | 7 | |a Randwaardeproblemen |2 gtt | |
| 650 | 4 | |a Boundary value problems |x Numerical solutions | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 4 | |a Hodge theory | |
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| 689 | 1 | 2 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |D s |
| 689 | 1 | 3 | |a Hodge-Theorie |0 (DE-588)4135967-7 |D s |
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Datensatz im Suchindex
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Contents
Introduction 1
Chapter 1: Analysis of Differential Forms
1.1 Manifolds with boundary 9
1.2 Differential forms 19
1.3 Sobolev spaces 30
1.4 Weighted Sobolev spaces 42
1.5 Elements of the functional analysis 47
1.6 Elliptic boundary value problems 52
Chapter 2: The Hodge Decomposition
2.1 Stokes' theorem, the Dirichlet integral and Gaffney's inequalities 59
2.2 The Dirichlet and the Neumann potential 67
2.3 Regularity of the potential 73
2.4 Hodge decomposition on compact d manifolds 80
2.5 Hodge decomposition on exterior domains 94
2.6 Elements of de Rham cohomology theory 103
Appendix : On the smooth deformation of Hilbert space decompositions
(by J. Wenzelburger) 107
Chapter 3: Boundary Value Problems for Differential
Forms
3.1 The Dirichlet problem for the exterior derivative 113
3.2 First order boundary value problems on Q*(M) 119
3.3 General inhomogeneous boundary conditions 124
3.4 Harmonic fields, harmonic forms and the Poisson equation 129
3.5 Vector analysis 138
Bibliography 147
Index 153 |
| any_adam_object | 1 |
| author | Schwarz, Günter |
| author_facet | Schwarz, Günter |
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| discipline | Mathematik |
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| indexdate | 2024-07-20T07:38:09Z |
| institution | BVB |
| isbn | 3540600167 0387600167 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006774510 |
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| physical | 155 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Schwarz, Günter Verfasser aut Hodge decomposition a method for solving boundary value problems Günter Schwarz Berlin [u.a.] Springer 1995 155 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1607 Décomposition (Mathématiques) Hodge, Théorie de Potentiaaltheorie gtt Problèmes aux limites - Solutions numériques Randwaardeproblemen gtt Boundary value problems Numerical solutions Decomposition (Mathematics) Hodge theory Differentialform (DE-588)4149772-7 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Hodge-Theorie (DE-588)4135967-7 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Differentialform (DE-588)4149772-7 s Zerlegung Mathematik (DE-588)4190746-2 s Hodge-Theorie (DE-588)4135967-7 s Lecture notes in mathematics 1607 (DE-604)BV000676446 1607 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006774510&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwarz, Günter Hodge decomposition a method for solving boundary value problems Lecture notes in mathematics Décomposition (Mathématiques) Hodge, Théorie de Potentiaaltheorie gtt Problèmes aux limites - Solutions numériques Randwaardeproblemen gtt Boundary value problems Numerical solutions Decomposition (Mathematics) Hodge theory Differentialform (DE-588)4149772-7 gnd Randwertproblem (DE-588)4048395-2 gnd Hodge-Theorie (DE-588)4135967-7 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4149772-7 (DE-588)4048395-2 (DE-588)4135967-7 (DE-588)4190746-2 (DE-588)4128130-5 |
| title | Hodge decomposition a method for solving boundary value problems |
| title_auth | Hodge decomposition a method for solving boundary value problems |
| title_exact_search | Hodge decomposition a method for solving boundary value problems |
| title_full | Hodge decomposition a method for solving boundary value problems Günter Schwarz |
| title_fullStr | Hodge decomposition a method for solving boundary value problems Günter Schwarz |
| title_full_unstemmed | Hodge decomposition a method for solving boundary value problems Günter Schwarz |
| title_short | Hodge decomposition |
| title_sort | hodge decomposition a method for solving boundary value problems |
| title_sub | a method for solving boundary value problems |
| topic | Décomposition (Mathématiques) Hodge, Théorie de Potentiaaltheorie gtt Problèmes aux limites - Solutions numériques Randwaardeproblemen gtt Boundary value problems Numerical solutions Decomposition (Mathematics) Hodge theory Differentialform (DE-588)4149772-7 gnd Randwertproblem (DE-588)4048395-2 gnd Hodge-Theorie (DE-588)4135967-7 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Décomposition (Mathématiques) Hodge, Théorie de Potentiaaltheorie Problèmes aux limites - Solutions numériques Randwaardeproblemen Boundary value problems Numerical solutions Decomposition (Mathematics) Hodge theory Differentialform Randwertproblem Hodge-Theorie Zerlegung Mathematik Numerisches Verfahren |
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| work_keys_str_mv | AT schwarzgunter hodgedecompositionamethodforsolvingboundaryvalueproblems |