Optimal control of partial differential equations involving pointwise state constraints: regularization and applications
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Göttingen
Cuvillier
2008
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| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 135 S. graph. Darst. |
| ISBN: | 9783867276689 |
Staff View
MARC
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Record in the Search Index
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| adam_text | GESCANNT DURCH CONTENTS PREFACE V GENERAL NOTATION IX 1 OPTIMAL
DISTRIBUTED CONTROL PROBLEMS WITH POINTWISE STATE CON- STRAINTS 1 1.1
INTRODUCTION 1 1.2 PROBLEM FORMULATION 2 1.3 FIRST- AND SECOND-ORDER
OPTIMALITY CONDITIONS 4 1.4 LAVRENTIEV TYPE REGULARIZATION 6 1.5
CONVERGENCE OF LOCAL SOLUTIONS 8 1.6 SENSITIVITY ANALYSIS OF THE LINEAR
QUADRATIC COUNTERPART TO (P) . . 13 1.6.1 LOCAL LIPSCHITZ-CONTINUITY 15
1.6.2 PARAMETER SENSITIVITY 21 1.7 EXTRAPOLATION BASED ALGORITHM 25 1.8
NUMERICAL EXPERIMENTS 30 1.8.1 TEST EXAMPLE 1 30 1.8.2 TEST EXAMPLE 2 33
1.8.3 TEST EXAMPLE 3 37 2 OPTIMAL BOUNDARY CONTROL PROBLEMS WITH
POINTWISE STATE CON- STRAINTS 39 2.1 INTRODUCTION 39 2.2 PROBLEM
FORMULATION 40 2.3 SOURCE REPRESENTATION 42 2.4 REGULARIZATION 45 2.5
CONVERGENRE ANALYSIS 48 2.6 SEMISMOOTH NEWTON ALGORITHM 55 2.7 NUMERICAL
EXPERIMENTS 57 2.7.1 TEST EXAMPLE 1 58 2.7.2 TEST EXAMPLE 2 61 2.7.3
COMPARISON WITH THE COMMERCIAL OPTIMIZATION CODE QUADPROG 64 2.7.4
COMPARISON WITH THE MOREAU-YOSIDA TYPE REGULAR- IZATION 65 3
STATE-CONSTRAINED OPTIMAL CONTROL PROBLEMS WITH NONLOCAL RADIA- TION
INTERFACE CONDITIONS 69 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/990426513 DIGITALISIERT DURCH XII CONTENTS 3.1
INTRODUCTION 69 3.2 STATE EQUATION (SL) 73 3.3 REGULARITY OF THE WEAK
SOLUTION TO (SL) 75 3.4 DIFFERENTIABILITY OF THE CONTROL-TO-STATE
OPERATOR 80 3.5 ADJOINT EQUATION INVOLVING MEASURES 87 3.6 FIRST-ORDER
NECESSARY OPTIMALITY CONDITION 89 3.7 SECOND-ORDER SUFFICIENT OPTIMALITY
CONDITION 95 3.8 MOREAU-YOSIDA TYPE REGULARIZATION 102 3.9 CONVERGENCE
ANALYSIS 106 3.10 NUMERICAL EXPERIMENTS 109 3.10.1 TEST EXAMPLE 1 112
3.10.2 TEST EXAMPLE 2 114 3.10.3 NUMERICAL EXPERIMENT INVOLVING
MAXWELL S EQUATIONS 118 4 CONCLUSIONS AND OUTLOOK 123 5 ZUSAMMENFASSUNG
125 BIBLIOGRAPHY 127
|
| any_adam_object | 1 |
| author | Yousept, Irwin 1982- |
| author_GND | (DE-588)133715426 |
| author_facet | Yousept, Irwin 1982- |
| author_role | aut |
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| author_variant | i y iy |
| building | Verbundindex |
| bvnumber | BV023805386 |
| classification_rvk | SK 880 |
| ctrlnum | (OCoLC)304383842 (DE-599)BVBBV023805386 |
| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-07-09T21:37:12Z |
| institution | BVB |
| isbn | 9783867276689 |
| language | English |
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| physical | XII, 135 S. graph. Darst. |
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| spelling | Yousept, Irwin 1982- Verfasser (DE-588)133715426 aut Optimal control of partial differential equations involving pointwise state constraints regularization and applications vorgelegt von Irwin Yousept 1. Aufl. Göttingen Cuvillier 2008 XII, 135 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Berlin, Techn. Univ., Diss., 2008 Nebenbedingung (DE-588)4140066-5 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s Nebenbedingung (DE-588)4140066-5 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017447561&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yousept, Irwin 1982- Optimal control of partial differential equations involving pointwise state constraints regularization and applications Nebenbedingung (DE-588)4140066-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4140066-5 (DE-588)4121428-6 (DE-588)4044779-0 (DE-588)4113937-9 |
| title | Optimal control of partial differential equations involving pointwise state constraints regularization and applications |
| title_auth | Optimal control of partial differential equations involving pointwise state constraints regularization and applications |
| title_exact_search | Optimal control of partial differential equations involving pointwise state constraints regularization and applications |
| title_full | Optimal control of partial differential equations involving pointwise state constraints regularization and applications vorgelegt von Irwin Yousept |
| title_fullStr | Optimal control of partial differential equations involving pointwise state constraints regularization and applications vorgelegt von Irwin Yousept |
| title_full_unstemmed | Optimal control of partial differential equations involving pointwise state constraints regularization and applications vorgelegt von Irwin Yousept |
| title_short | Optimal control of partial differential equations involving pointwise state constraints |
| title_sort | optimal control of partial differential equations involving pointwise state constraints regularization and applications |
| title_sub | regularization and applications |
| topic | Nebenbedingung (DE-588)4140066-5 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Nebenbedingung Optimale Kontrolle Partielle Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017447561&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT youseptirwin optimalcontrolofpartialdifferentialequationsinvolvingpointwisestateconstraintsregularizationandapplications |