Hodge decomposition: a method for solving boundary value problems
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1995
|
| Series: | Lecture notes in mathematics
1607 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 155 S. |
| ISBN: | 3540600167 0387600167 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010194800 | ||
| 003 | DE-604 | ||
| 005 | 20080208 | ||
| 007 | t | ||
| 008 | 950515s1995 gw |||| 00||| eng d | ||
| 016 | 7 | |a 944323766 |2 DE-101 | |
| 020 | |a 3540600167 |9 3-540-60016-7 | ||
| 020 | |a 0387600167 |9 0-387-60016-7 | ||
| 035 | |a (OCoLC)243807280 | ||
| 035 | |a (DE-599)BVBBV010194800 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-20 |a DE-824 |a DE-91G |a DE-12 |a DE-29T |a DE-355 |a DE-19 |a DE-634 |a DE-11 |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510 |2 20 | |
| 082 | 0 | |a 515/.353 |2 20 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a MAT 354f |2 stub | ||
| 084 | |a 58A14 |2 msc | ||
| 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 Differentialform |0 (DE-588)4149772-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hodge-Theorie |0 (DE-588)4135967-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 1 | 1 | |a Differentialform |0 (DE-588)4149772-7 |D s |
| 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 |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1607 |w (DE-604)BV000676446 |9 1607 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805082784047300608 |
|---|---|
| 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 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010194800</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080208</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950515s1995 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">944323766</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540600167</subfield><subfield code="9">3-540-60016-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387600167</subfield><subfield code="9">0-387-60016-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243807280</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010194800</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.353</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 354f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58A14</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwarz, Günter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Hodge decomposition</subfield><subfield code="b">a method for solving boundary value problems</subfield><subfield code="c">Günter Schwarz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">155 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1607</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Décomposition (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hodge, Théorie de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Potentiaaltheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Problèmes aux limites - Solutions numériques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Randwaardeproblemen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Decomposition (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hodge theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialform</subfield><subfield code="0">(DE-588)4149772-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hodge-Theorie</subfield><subfield code="0">(DE-588)4135967-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Differentialform</subfield><subfield code="0">(DE-588)4149772-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="3"><subfield code="a">Hodge-Theorie</subfield><subfield code="0">(DE-588)4135967-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1607</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1607</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield></record></collection> |
| id | DE-604.BV010194800 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:38:09Z |
| institution | BVB |
| isbn | 3540600167 0387600167 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006774510 |
| oclc_num | 243807280 |
| open_access_boolean | |
| owner | DE-20 DE-824 DE-91G DE-BY-TUM DE-12 DE-29T DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-11 DE-706 DE-83 DE-188 |
| owner_facet | DE-20 DE-824 DE-91G DE-BY-TUM DE-12 DE-29T DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-634 DE-11 DE-706 DE-83 DE-188 |
| 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 |
| 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 |