Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation:
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| Format: | Thesis Book |
| Language: | English |
| Published: |
1997
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 173 S. |
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| 245 | 1 | 0 | |a Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation |c vorgelegt von Stefan Volkwein |
| 264 | 1 | |c 1997 | |
| 300 | |a VI, 173 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Berlin, Techn. Univ., Diss., 1997 | ||
| 650 | 4 | |a Nichtlineare partielle Differentialgleichung - Kontrolltheorie - Sequentielle quadratische Optimierung - Hilbert-Raum | |
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Record in the Search Index
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| adam_text |
CONTENTS
CHAPTER
0.
PREFACE
1
CHAPTER
1.
PRELIMINARIES
3
1.
FUNCTIONAL
ANALYTIC
PRELIMINARIES
3
2.
SADDLE-POINT
PROBLEMS
5
3.
FUNCTION
SPACES
7
4.
LINEAR
BOUNDARY
VALUE
PROBLEMS
OF
SECOND
ORDER
12
CHAPTER
2.
THE
AUGMENTED
LAGRANGIAN-SQP
METHOD
19
1.
INTRODUCTION
19
2.
INFINITE
DIMENSIONAL
METHOD
20
3.
APPROXIMATION
OF
THE
INFINITE
DIMENSIONAL
METHOD
27
CHAPTER
3.
MESH-INDEPENDENCE
59
1.
INTRODUCTION
59
2.
STRONG
MESH-INDEPENDENCE
61
3.
ASYMPTOTIC
MESH-INDEPENDENCE
63
CHAPTER
4.
CONTROL
OF
THE
STATIONARY
BURGERS
EQUATION
69
1.
INTRODUCTION
69
2.
THE
STATE
EQUATION
WITH
DIRICHLET
BOUNDARY
CONDITIONS
70
3.
THE
DISTRIBUTED
CONTROL
PROBLEM
78
4.,
THE
STATE
EQUATION
WITH
MIXED
BOUNDARY
CONDITIONS
85
5.
THE
BOUNDARY
CONTROL
PROBLEM
91
6.
THE
NUMERICAL
TREATMENT
OF
THE
CONTROL
PROBLEMS
98
CHAPTER
5.
CONTROL
OF
THE
UNSTEADY
BURGERS
EQUATION
125
1.
INTRODUCTION
125
2.
THE
DIRICHLET
BOUNDARY
VALUE
PROBLEM
126
3.
THE
DISTRIBUTED
CONTROL
PROBLEM
130
4.
THE
NEUMANN
BOUNDARY
VALUE
PROBLEM
140
5.
THE
BOUNDARY
CONTROL
PROBLEM
145
6.
THE
NUMERICAL
TREATMENT
OF
THE
CONTROL
PROBLEMS
155
BIBLIOGRAPHY
169 |
| any_adam_object | 1 |
| author | Volkwein, Stefan 1966- |
| author_GND | (DE-588)118138529 |
| author_facet | Volkwein, Stefan 1966- |
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| author_sort | Volkwein, Stefan 1966- |
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| building | Verbundindex |
| bvnumber | BV011806705 |
| classification_tum | MAT 354d PHY 602d |
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| discipline | Physik Mathematik |
| format | Thesis Book |
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| id | DE-604.BV011806705 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-13T00:23:09Z |
| institution | BVB |
| language | English |
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| physical | VI, 173 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| spelling | Volkwein, Stefan 1966- Verfasser (DE-588)118138529 aut Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation vorgelegt von Stefan Volkwein 1997 VI, 173 S. txt rdacontent n rdamedia nc rdacarrier Berlin, Techn. Univ., Diss., 1997 Nichtlineare partielle Differentialgleichung - Kontrolltheorie - Sequentielle quadratische Optimierung - Hilbert-Raum Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Sequenzielle quadratische Optimierung (DE-588)4451045-7 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Kontrolltheorie (DE-588)4032317-1 s Sequenzielle quadratische Optimierung (DE-588)4451045-7 s Hilbert-Raum (DE-588)4159850-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007971814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Volkwein, Stefan 1966- Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation Nichtlineare partielle Differentialgleichung - Kontrolltheorie - Sequentielle quadratische Optimierung - Hilbert-Raum Hilbert-Raum (DE-588)4159850-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd Sequenzielle quadratische Optimierung (DE-588)4451045-7 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4032317-1 (DE-588)4451045-7 (DE-588)4128900-6 (DE-588)4113937-9 |
| title | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation |
| title_auth | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation |
| title_exact_search | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation |
| title_full | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation vorgelegt von Stefan Volkwein |
| title_fullStr | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation vorgelegt von Stefan Volkwein |
| title_full_unstemmed | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation vorgelegt von Stefan Volkwein |
| title_short | Mesh-independence of an augmented Lagrangian-SQP method in Hilbert spaces and control problems for the Burgers equation |
| title_sort | mesh independence of an augmented lagrangian sqp method in hilbert spaces and control problems for the burgers equation |
| topic | Nichtlineare partielle Differentialgleichung - Kontrolltheorie - Sequentielle quadratische Optimierung - Hilbert-Raum Hilbert-Raum (DE-588)4159850-7 gnd Kontrolltheorie (DE-588)4032317-1 gnd Sequenzielle quadratische Optimierung (DE-588)4451045-7 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Nichtlineare partielle Differentialgleichung - Kontrolltheorie - Sequentielle quadratische Optimierung - Hilbert-Raum Hilbert-Raum Kontrolltheorie Sequenzielle quadratische Optimierung Nichtlineare partielle Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007971814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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