Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU):
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Aachen
Shaker
2010
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| Series: | Berichte aus der Mathematik
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 98 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783832290672 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS ZUSAMMENFASSUNG III ABSTRACT V ACKNOWLEDGEMENTS XI 1
INTRODUCTION 1 1.1 MOTIVATION 1 1.1.1 APPLICATIONS 3 1.1.2 LITHOTRIPTER
PRINCIPLES 4 1.1.3 EXISTING TECHNICAL DIFFICULTIES 7 1.2
GOALS/MATHEMATICAL CHALLENGES 8 1.2.1 WELL-POSEDNESS IN NONLINEAR
ACOUSTICS 8 1.2.2 SHAPE OPTIMIZATION 9 1.2.3 BOUNDARY OPTIMAL CONTROL 9
2 WELL-POSEDNESS OF THE FORWARD PROBLEM 11 . 2.1 NONLINEAR ACOUSTICS 11
2.1.1 INTRODUCTION 11 2.1.2 DERIVATION OF THE PDES 11 2.2 WELL-POSEDNESS
RESULTS 15 2.2.1 THE WESTERVELT EQUATION 15 2.2.2 THE KUZUETSOV EQUATION
34 3 OPTIMIZATION APPLICATIONS 45 3.1 SHAPE OPTIMIZATION OF AN ACMISTK
LENS 45 3.1.1 BASIC PRINCIPLES OF SHAPE OPTIMIZATION 45 3.1.2 LINEAR
ACOUSTICS 54 3.1.3 NONLINEAR ACOUSTICS 71 3.2 OPTIMAL BOUNDARY CONTROL
FOR PIEZOELECTRIC LITHOTRIPTER 79 3.2.1 EXISTENCE OF AN OPTIMAL CONTROL
80 3.2.2 OPTIMAHTY SYSTEM 83 3.2.3 CALCULATION OF DERIVATIVES 90
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002144639 DIGITALISIERT
DURCH 4 CONCLUDING REMARKS 93 VIII CONTENTS
|
| any_adam_object | 1 |
| author | Veljović, Slobodan |
| author_facet | Veljović, Slobodan |
| author_role | aut |
| author_sort | Veljović, Slobodan |
| author_variant | s v sv |
| building | Verbundindex |
| bvnumber | BV036447376 |
| classification_rvk | UF 6300 |
| ctrlnum | (OCoLC)648768948 (DE-599)DNB1002144639 |
| 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 | Physik Mathematik Medizin |
| format | Thesis Book |
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| isbn | 9783832290672 |
| language | English |
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| physical | XII, 98 S. Ill., graph. Darst. 21 cm |
| publishDate | 2010 |
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| publisher | Shaker |
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| series2 | Berichte aus der Mathematik |
| spelling | Veljović, Slobodan Verfasser aut Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) Slobodan Veljović Aachen Shaker 2010 XII, 98 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Erlangen-Nürnberg, Univ., Diss., 2010 Ultraschall (DE-588)4061555-8 gnd rswk-swf Schallausbreitung (DE-588)4179359-6 gnd rswk-swf Lithotripsie (DE-588)4167958-1 gnd rswk-swf Nichtlineare Akustik (DE-588)4171746-6 gnd rswk-swf Korrekt gestelltes Problem (DE-588)4194555-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineare Akustik (DE-588)4171746-6 s Partielle Differentialgleichung (DE-588)4044779-0 s Korrekt gestelltes Problem (DE-588)4194555-4 s Ultraschall (DE-588)4061555-8 s Schallausbreitung (DE-588)4179359-6 s Lithotripsie (DE-588)4167958-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020319593&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Veljović, Slobodan Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) Ultraschall (DE-588)4061555-8 gnd Schallausbreitung (DE-588)4179359-6 gnd Lithotripsie (DE-588)4167958-1 gnd Nichtlineare Akustik (DE-588)4171746-6 gnd Korrekt gestelltes Problem (DE-588)4194555-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4061555-8 (DE-588)4179359-6 (DE-588)4167958-1 (DE-588)4171746-6 (DE-588)4194555-4 (DE-588)4044779-0 (DE-588)4113937-9 |
| title | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) |
| title_auth | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) |
| title_exact_search | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) |
| title_full | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) Slobodan Veljović |
| title_fullStr | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) Slobodan Veljović |
| title_full_unstemmed | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) Slobodan Veljović |
| title_short | Shape optimization and optimal boundary control for high intensity focused ultrasound (HIFU) |
| title_sort | shape optimization and optimal boundary control for high intensity focused ultrasound hifu |
| topic | Ultraschall (DE-588)4061555-8 gnd Schallausbreitung (DE-588)4179359-6 gnd Lithotripsie (DE-588)4167958-1 gnd Nichtlineare Akustik (DE-588)4171746-6 gnd Korrekt gestelltes Problem (DE-588)4194555-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Ultraschall Schallausbreitung Lithotripsie Nichtlineare Akustik Korrekt gestelltes Problem Partielle Differentialgleichung Hochschulschrift |
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