Extremal point methods for Riesz potentials with and without external fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Hamburg
Helmut-Schmidt-Universität
2015
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii, 157 Seiten Illustrationen, Diagramme |
Internformat
MARC
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| 245 | 1 | 0 | |a Extremal point methods for Riesz potentials with and without external fields |c vorgelegt von Manuel Jaraczewski |
| 264 | 1 | |a Hamburg |b Helmut-Schmidt-Universität |c 2015 | |
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| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 502 | |b Dissertation |c Helmut-Schmidt-Universität Hamburg |d 2015 | ||
| 546 | |a Zusammenfassung in deutscher Sprache | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
INTRODUCTION
1
2 P N TE N TLA L T H P O R Y *** F V TRU M A L P N IRITC Q
2.1 POTENTIAL T H E O RY
...........................................................................
9
2.2 EXTREMAL P O I N TS
...........................................................................
19
3 ASYMPTOTICS FOR GENERAL COMPACT SETS 27
3.1 SETS WITH SMOOTH OUTER BOUNDARY
................................................
27
3.2 AHLFORS-DAVID REGULAR S E T S
.........................................................
46
4 POTENTIALS WITH EXTERNAL FIELDS 57
4.1 MINIMAL E N E RG Y
...........................................................................
59
4.2 MAXIMUM
POLARIZATION..................................................................
62
4.3 PRINCIPLES IN POTENTIAL T H E O RY
......................................................
64
4.4 DISCRETIZATION OF MINIMAL E NERGY
................................................
67
4.5 DISCRETIZATION OF MAXIMUM P OLARIZATION
....................................
70
4.6 CONVERGENCE OF THE DISCRETE APPROXIMANTS
.................................
72
4.7 FROSTMAN*S THEOREM
..................................................................... 77
4.8
EXAMPLES.......................................................................................
83
4.9 GENERAL KERNEL F UNCTIONS
............................................................
86
4.10 DOUBLE LAYER
POTENTIALS...............................................................
88
5 CALCULATINQ EXTREMAL POINTS J 3
5.1 INTERIOR POINT M E TH O D
.................................................................. 94
5.2 NUMERICAL RESULTS FOR ENERGY WITHOUT EXTERNAL FIELDS ...... 97
5.3 INFLUENCE OF EXTERNAL F IE LD S
............................................................
I L L
5.4 LOCAL MINIMA OF DISCRETE E N ERG Y
...................................................
113
5.5 MESHFREE METHODS ...... .................. 114
6 CONCLUSION AND OUTLOOK 119
TABLE OF C ONTENTS
A APPENDIX
127
*.1 HISTORICAL
BACKGROUND......................................................................127
*.2 POTENTIAL THEORY FOR THE UNIT D ISK
...................................................
133
LIST OF SVMBOLS
137
BIBLIOGRAPHY
140
INDEX
153
* *
|
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| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T07:23:31Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028761819 |
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| physical | viii, 157 Seiten Illustrationen, Diagramme |
| publishDate | 2015 |
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| publisher | Helmut-Schmidt-Universität |
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| spelling | Jaraczewski, Manuel Verfasser (DE-588)1053379021 aut Extremal point methods for Riesz potentials with and without external fields vorgelegt von Manuel Jaraczewski Hamburg Helmut-Schmidt-Universität 2015 viii, 157 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation Helmut-Schmidt-Universität Hamburg 2015 Zusammenfassung in deutscher Sprache Elektrisches Potenzial (DE-588)4128753-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Elektrostatisches Feld (DE-588)4151980-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elektrostatisches Feld (DE-588)4151980-2 s Berechnung (DE-588)4120997-7 s Numerisches Verfahren (DE-588)4128130-5 s Elektrisches Potenzial (DE-588)4128753-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028761819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jaraczewski, Manuel Extremal point methods for Riesz potentials with and without external fields Elektrisches Potenzial (DE-588)4128753-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Berechnung (DE-588)4120997-7 gnd Elektrostatisches Feld (DE-588)4151980-2 gnd |
| subject_GND | (DE-588)4128753-8 (DE-588)4128130-5 (DE-588)4120997-7 (DE-588)4151980-2 (DE-588)4113937-9 |
| title | Extremal point methods for Riesz potentials with and without external fields |
| title_auth | Extremal point methods for Riesz potentials with and without external fields |
| title_exact_search | Extremal point methods for Riesz potentials with and without external fields |
| title_full | Extremal point methods for Riesz potentials with and without external fields vorgelegt von Manuel Jaraczewski |
| title_fullStr | Extremal point methods for Riesz potentials with and without external fields vorgelegt von Manuel Jaraczewski |
| title_full_unstemmed | Extremal point methods for Riesz potentials with and without external fields vorgelegt von Manuel Jaraczewski |
| title_short | Extremal point methods for Riesz potentials with and without external fields |
| title_sort | extremal point methods for riesz potentials with and without external fields |
| topic | Elektrisches Potenzial (DE-588)4128753-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Berechnung (DE-588)4120997-7 gnd Elektrostatisches Feld (DE-588)4151980-2 gnd |
| topic_facet | Elektrisches Potenzial Numerisches Verfahren Berechnung Elektrostatisches Feld Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028761819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jaraczewskimanuel extremalpointmethodsforrieszpotentialswithandwithoutexternalfields |