Verfügbarkeit: Optimal control of elliptic variational inequalities

Optimal control of elliptic variational inequalities: numerical methods and point tracking objectives

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Bibliographische Detailangaben
Beteilige Person:	Löbhard, Caroline Babette (VerfasserIn)
Format:	Hochschulschrift/Dissertation Buch
Sprache:	Englisch
Veröffentlicht:	Uelvesbüll <<Der>> Andere Verl. 2015
Schlagwörter:	Optimale Kontrolle Finite-Elemente-Methode Elliptische Variationsungleichung Adaptives Verfahren Hochschulschrift
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027965109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	VIII, 204 S. graph. Darst.
ISBN:	9783862475186

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS 1 INTRODUCTION 1 2 MATHEMATICAL PRELIMINARIES 7 2.1 NOTATION AND TOOLS FROM FUNCTIONAL ANALYSIS 7 2.2 NOTATION AND TOOLS FROM OPTIMIZATION 15 2.3 REVIEW ON ELLIPTIC VARIATIONAL INEQUALITIES 20 2.4 REVIEW ON THE OPTIMAL CONTROL OF VARIATIONAL INEQUALITIES . . 30 2.5 NOTATION AND TOOLS FROM NUMERICAL ANALYSIS 36 I TRACKING TYPE OPTIMA) CONTROL OF ELLIPTIC VARIATIONAL INEQUAL ITIES 41 3 AN ELASTIC MODE PENALTY ALGORITHM 45 3.1 SOLVABILITY AND CONSISTENCY OF THE PENALIZATION SCHEME .... 45 3.2 LIMITING ANALYSIS OF FIRST ORDER STATIONARITY CONDITIONS ... 50 3.3 REMARKS ON EXACTNESS OF THE PENALTY SCHEME 58 3.4 RESULTING SOLUTION METHOD 63 4 AN ADAPTIVE METHOD FOR THE TRACKING TYPE FUNCTIONAL CASE 67 4.1 A PRIORI ESTIMATES FOR SOLUTIONS OF THE OPTIMALITY SYSTEM ... 67 4.2 ABSTRACT DISCRETE STATIONARITY CONDITIONS 73 4.3 ABSTRACT ERROR REPRESENTATION FORMULA 78 4.4 PRIMAL-DUAL-WEIGHTED A POSTERIORI ESTIMATOR 85 5 NUMERICAL TESTS 91 5.1 SOME DETAILS ON THE IMPLEMENTATION 91 5.2 COLLECTION OF TEST EXAMPLES 96 5.3 NUMERICAL RESULTS FOR THE ADAPTIVE METHOD 99 5.4 NUMERICAL RESULTS FOR THE ELASTIC MODE ALGORITHM 104 HTTP://D-NB.INFO/1072705729 VIII C. L&BHARD: OPTIMAL CONTROL OF ELLIPTIC VARIATIONAL INEQUALITIES II POINT-TRACKING OPTIMAL CONTROL OF ELLIPTIC VARIATIONAL INEQUAL ITIES 111 6 OPTIMAL CONTROL OF VARIATIONAL INEQUALITIES WITH POINT-TRACKING 115 6.1 PROBLEM STATEMENT AND SOLVABILITY 115 6.2 PENALTY SCHEME 124 6.3 DERIVATION OF STATIONARITY CONDITIONS 129 7 AN ELASTIC MODE PENALTY METHOD FOR POINT TRACKING CONTROL OF VARI ATIONAL INEQUALITIES 139 7.1 MODEL PROBLEM, PENALTY SCHEME: SOLVABILITY AND CONSISTENCY 139 7.2 LIMITING STATIONARITY CONDITIONS 146 7.3 RESULTING SOLUTION METHOD 157 8 AN ADAPTIVE METHOD FOR THE POINT TRACKING CASE 159 8.1 ABSTRACT ERROR REPRESENTATION FORMULA 159 8.2 DETAILED FINITE ELEMENT DISCRETIZATION 164 8.3 PRIMAL-DUAL WEIGHTED A POSTERIORI ESTIMATOR 166 9 NUMERICAL TESTS 169 9.1 COLLECTION OF TEST EXAMPLES 169 9.2 NUMERICAL RESULTS FOR THE ADAPTIVE METHOD 173 9.3 SOME DETAILS ON THE IMPLEMENTATION OF THE PENALTY METHOD . 175 9.4 NUMERICAL RESULTS FOR THE ELASTIC MODE ALGORITHM 177 A TABULATED NUMERICAL RESULTS 183 BIBLIOGRAPHY 191
any_adam_object	1
author	Löbhard, Caroline Babette
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dewey-ones	510 - Mathematics
dewey-raw	510
dewey-search	510
dewey-sort	3510
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Thesis Book
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indexdate	2024-12-20T17:13:42Z
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isbn	9783862475186
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027965109
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publisher	<<Der>> Andere Verl.
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spellingShingle	Löbhard, Caroline Babette Optimal control of elliptic variational inequalities numerical methods and point tracking objectives Optimale Kontrolle (DE-588)4121428-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Elliptische Variationsungleichung (DE-588)4479963-9 gnd Adaptives Verfahren (DE-588)4310560-9 gnd
subject_GND	(DE-588)4121428-6 (DE-588)4017233-8 (DE-588)4479963-9 (DE-588)4310560-9 (DE-588)4113937-9
title	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives
title_auth	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives
title_exact_search	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives
title_full	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives by Caroline Babette Löbhard
title_fullStr	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives by Caroline Babette Löbhard
title_full_unstemmed	Optimal control of elliptic variational inequalities numerical methods and point tracking objectives by Caroline Babette Löbhard
title_short	Optimal control of elliptic variational inequalities
title_sort	optimal control of elliptic variational inequalities numerical methods and point tracking objectives
title_sub	numerical methods and point tracking objectives
topic	Optimale Kontrolle (DE-588)4121428-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Elliptische Variationsungleichung (DE-588)4479963-9 gnd Adaptives Verfahren (DE-588)4310560-9 gnd
topic_facet	Optimale Kontrolle Finite-Elemente-Methode Elliptische Variationsungleichung Adaptives Verfahren Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027965109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT lobhardcarolinebabette optimalcontrolofellipticvariationalinequalitiesnumericalmethodsandpointtrackingobjectives

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