Trust-region methods for simulation based nonlinear optimization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2011
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| Schriftenreihe: | Berichte aus der Mathematik
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 262 S. Ill., graph. Darst. 210 mm x 148 mm |
| ISBN: | 9783844001853 |
Internformat
MARC
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| 245 | 1 | 0 | |a Trust-region methods for simulation based nonlinear optimization |c Alexander Thekale |
| 264 | 1 | |a Aachen |b Shaker |c 2011 | |
| 300 | |a VIII, 262 S. |b Ill., graph. Darst. |c 210 mm x 148 mm | ||
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| 490 | 0 | |a Berichte aus der Mathematik | |
| 502 | |a Zugl.: Erlangen-Nürnberg, Univ., Diss., 2011 | ||
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Datensatz im Suchindex
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| adam_text | IMAGE 1
CONTENTS
ZUSAMMENFASSUNG V
ABSTRACT VII
1 MOTIVATION AND STATE OF THE ART 1
2 BASIC CONCEPTS AND ALGORITHMS 9
2.1 BASIC CONCEPTS 10
2.1.1 TRUST-REGION METHOD 10
2.1.2 FILTER METHOD 21
2.1.3 CONDITIONAL MODELS 29
2.2 BASIC ALGORITHMS 43
2.2.1 NONLINEAR FEASIBILITY PROBLEMS 43
2.2.2 TRUST-REGION SQP-FILTER ALGORITHM 55
2.2.3 CONDITIONAL TRUST-REGION ALGORITHM 75
3 SIMULATION BASED NONLINEAR FEASIBILITY PROBLEMS 87
3.1 GENERAL OUTLINE OF THE ALGORITHM 87
3.1.1 PROBLEM FORMULATION 87
3.1.2 THE GENERAL SETTING OF THE ALGORITHM 88
3.1.3 PROPERTIES OF THE TRIAL POINT 90
3.2 ALGORITHM 91
3.3 CONVERGENCE ANALYSIS 93
3.3.1 ERROR BOUNDS 96
3.3.2 FIRST ORDER CONVERGENCE ANALYSIS 99
3.4 COMPUTING THE TRIAL POINT 104
4 SIMULATION BASED CONSTRAINED NONLINEAR OPTIMIZATION PROBLEMS 111
4.1 GENERAL OUTLINE OF THE ALGORITHM I LL
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1013376455
DIGITALISIERT DURCH
IMAGE 2
II CONTENTS
4.1.1 PROBLEM FORMULATION ILL
4.1.2 THE GENERAL SOTTING OF THE ALGORITHM 112
4.1.3 PROPERTIES OF THE TRIAL POINT 113
4.2 ALGORITHM 116
4.3 CONVERGENCE ANALYSIS 119
4.3.1 ERROR BOUNDS 121
4.3.2 FIRST ORDER CONVERGENCE ANALYSIS 131
4.4 COMPUTING THE TRIAL POINT 145
4.5 RESTORATION 148
5 NUMERICAL RESULTS 151
5.1 THE GENERAL SETTING 151
5.2 THE EFFECT OF USING AVAILABLE INFORMATION 152
5.3 COMPARISON WITH OTHER METHODS 154
5.3.1 EFNES 154
5.3.2 EFOS 15G
6 APPLICATIONS 163
6.1 POROUS MEDIA 163
G.2 ADVANCED HIGH-STRENGTH STEELS 167
6.3 SILICON NANOPARTICLES 172
7 CONCLUDING REMARKS 177
A ASSUMPTIONS 181
A.I ASSUMPTIONS ON THE FUNCTIONS 182
A.1.1 ASSUMPTIONS ON THE (CHEAP) FUNCTIONS 182
A. 1.2 ASSUMPTIONS ON THE EXPENSIVE FUNCTION 183
A.1.3 ASSUMPTIONS ON THE MODEL FUNCTION 184
A.2 ASSUMPTIONS ON THE NORM 187
A.3 ASSUMPTIONS ON THE ALGORITHM 187
A.4 ASSUMPTIONS ON THE ITERATES 189
A.5 ASSUMPTIONS ON THE SUBPROBLEM SOLVER 190
B TEST PROBLEMS 191
B.I PROPERTIES OF THE TEST PROBLEMS 191
B.2 DESCRIPTION OF THE TEST PROBLEMS 196
B.2.1 TEST PROBLEMS FOR EFNES 196
IMAGE 3
CONTENTS III
B.2.2 UNCONSTRAINED TEST PROBLEMS FOR EFOS 216
B.2.3 CONSTRAINED TEST PROBLEMS FOR EFOS 234
C DATA FOR EFOS 247
BIBLIOGRAPHY 251
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| any_adam_object | 1 |
| author | Thekale, Alexander |
| author_facet | Thekale, Alexander |
| author_role | aut |
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| dewey-full | 519.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.7 |
| dewey-search | 519.7 |
| dewey-sort | 3519.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-07-09T23:59:38Z |
| institution | BVB |
| isbn | 9783844001853 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024149748 |
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| physical | VIII, 262 S. Ill., graph. Darst. 210 mm x 148 mm |
| publishDate | 2011 |
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| publisher | Shaker |
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| series2 | Berichte aus der Mathematik |
| spelling | Thekale, Alexander Verfasser aut Trust-region methods for simulation based nonlinear optimization Alexander Thekale Aachen Shaker 2011 VIII, 262 S. Ill., graph. Darst. 210 mm x 148 mm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Erlangen-Nürnberg, Univ., Diss., 2011 Computersimulation (DE-588)4148259-1 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Trust-Region-Algorithmus (DE-588)4311403-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineare Optimierung (DE-588)4128192-5 s Computersimulation (DE-588)4148259-1 s Trust-Region-Algorithmus (DE-588)4311403-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024149748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thekale, Alexander Trust-region methods for simulation based nonlinear optimization Computersimulation (DE-588)4148259-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Trust-Region-Algorithmus (DE-588)4311403-9 gnd |
| subject_GND | (DE-588)4148259-1 (DE-588)4128192-5 (DE-588)4311403-9 (DE-588)4113937-9 |
| title | Trust-region methods for simulation based nonlinear optimization |
| title_auth | Trust-region methods for simulation based nonlinear optimization |
| title_exact_search | Trust-region methods for simulation based nonlinear optimization |
| title_full | Trust-region methods for simulation based nonlinear optimization Alexander Thekale |
| title_fullStr | Trust-region methods for simulation based nonlinear optimization Alexander Thekale |
| title_full_unstemmed | Trust-region methods for simulation based nonlinear optimization Alexander Thekale |
| title_short | Trust-region methods for simulation based nonlinear optimization |
| title_sort | trust region methods for simulation based nonlinear optimization |
| topic | Computersimulation (DE-588)4148259-1 gnd Nichtlineare Optimierung (DE-588)4128192-5 gnd Trust-Region-Algorithmus (DE-588)4311403-9 gnd |
| topic_facet | Computersimulation Nichtlineare Optimierung Trust-Region-Algorithmus Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024149748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thekalealexander trustregionmethodsforsimulationbasednonlinearoptimization |