Hodge decomposition: a method for solving boundary value problems
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1995
|
| Schriftenreihe: | Lecture notes in mathematics
1607 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | 155 S. |
| ISBN: | 3540600167 0387600167 |
Internformat
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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 | |
| 650 | 0 | 7 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hodge-Theorie |0 (DE-588)4135967-7 |2 gnd |9 rswk-swf |
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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
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1607 |
|---|---|
| DE-BY-TUM_katkey | 654173 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010397814 |
| _version_ | 1821938523213660160 |
| adam_text | 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 |
| author_role | aut |
| author_sort | Schwarz, Günter |
| author_variant | g s gs |
| building | Verbundindex |
| bvnumber | BV010194800 |
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| callnumber-label | QA3 |
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| callnumber-search | QA3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 370 |
| classification_tum | MAT 354f |
| ctrlnum | (OCoLC)243807280 (DE-599)BVBBV010194800 |
| dewey-full | 510 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.353 |
| dewey-search | 510 515/.353 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010194800 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:49:44Z |
| institution | BVB |
| isbn | 3540600167 0387600167 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006774510 |
| oclc_num | 243807280 |
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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 |
| 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 Zerlegung Mathematik (DE-588)4190746-2 gnd Hodge-Theorie (DE-588)4135967-7 gnd Randwertproblem (DE-588)4048395-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialform (DE-588)4149772-7 gnd |
| subject_GND | (DE-588)4190746-2 (DE-588)4135967-7 (DE-588)4048395-2 (DE-588)4128130-5 (DE-588)4149772-7 |
| 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 Zerlegung Mathematik (DE-588)4190746-2 gnd Hodge-Theorie (DE-588)4135967-7 gnd Randwertproblem (DE-588)4048395-2 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialform (DE-588)4149772-7 gnd |
| topic_facet | Décomposition (Mathématiques) Hodge, Théorie de Potentiaaltheorie Problèmes aux limites - Solutions numériques Randwaardeproblemen Boundary value problems Numerical solutions Decomposition (Mathematics) Hodge theory Zerlegung Mathematik Hodge-Theorie Randwertproblem Numerisches Verfahren Differentialform |
| url | 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 |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT schwarzgunter hodgedecompositionamethodforsolvingboundaryvalueproblems |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1607
Lageplan |
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| Exemplar 1 | Ausleihbar Am Standort |