Holdings: Extremal point methods for Riesz potentials with and without external fields

Extremal point methods for Riesz potentials with and without external fields:

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Bibliographic Details
Main Author:	Jaraczewski, Manuel (Author)
Format:	Thesis Book
Language:	English
Published:	Hamburg Helmut-Schmidt-Universität 2015
Subjects:	Elektrisches Potenzial Numerisches Verfahren Berechnung Elektrostatisches Feld Hochschulschrift
Online Access:	Inhaltsverzeichnis
Physical Description:	viii, 157 Seiten Illustrationen, Diagramme

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MARC


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Record in the Search Index

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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 FROSTMANS 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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author	Jaraczewski, Manuel
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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

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