Diffraction by an immersed elastic wedge:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1999
|
| Series: | Lecture notes in mathematics
1723 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 134 S. graph. Darst. |
| ISBN: | 3540668101 |
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| 245 | 1 | 0 | |a Diffraction by an immersed elastic wedge |c Jean-Pierre Croisille ; Gilles Lebeau |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1999 | |
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Record in the Search Index
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| adam_text | Table of Contents
1. Introduction 1
2. Notation and results
2.1 Notation 3
2.2 Strategy of the study 6
2.3 Outgoing solutions 12
2.4 Translation operators 14
2.5 Main theorems 16
2.6 Integral representation of the solution 19
2.7 Asymptotics of the diffracted wave in the fluid 22
3. The spectral function
3.1 The integral system for the spectral function 27
3.2 The equations solid fluid coupled by a plane surface 33
3.3 Some properties of the operators DM and TM 41
3.4 Decomposition of the spectral function 50
3.5 The functional equation for the spectral function 53
4. Proofs of the results
4.1 An isomophism theorem 57
4.2 Proof of Theorem 1. Existence and uniqueness of the
spectral function 74
4.3 Proof of Theorem 2. Structure of the spectral function 75
5. Numerical algorithm
5.1 Introduction 79
5.2 The case of an incident wave in the fluid 80
5.3 The case of an incident Scholte Stoneley wave 81
5.4 Approximation of the regular part of the spectral function . 85
5.5 Computation of the spectral function 90
5.6 Practical issues 91
VI Table of Contents
6. Numerical results
6.1 Introduction 97
6.2 Presentation of the results 100
6.3 Iterates generated by the recursive formula 103
6.4 Numerical accuracy of the direct evaluation 104
6.5 Numerical diagrams of diffraction 104
Appendix 127
Subject Index 129
References 133
Acknowledgements. This work is greatly indebted to B. Poiree, physicist at the
D.R.E.T. for his support, advice and his deep knowledge in acoustic. We gratefully
acknowledge also F. Duclos (L.A.U.E., Universite du Havre, URA 1373) and M. de
Billy (G.P.S., Universite Paris VI, UMR 7588) for many interesting discussions. We
do not forget J. Laminie (Laboratoire d Analyse Numerique, Universite Paris XI,
URA 760) for the support during the years of the numerical work.
|
| any_adam_object | 1 |
| author | Croisille, Jean-Pierre 1961- Lebeau, Gilles 1954- |
| author_GND | (DE-588)121523128 (DE-588)121523136 |
| author_facet | Croisille, Jean-Pierre 1961- Lebeau, Gilles 1954- |
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| author_sort | Croisille, Jean-Pierre 1961- |
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| indexdate | 2024-07-09T18:35:01Z |
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| isbn | 3540668101 |
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| physical | VI, 134 S. graph. Darst. |
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| spelling | Croisille, Jean-Pierre 1961- Verfasser (DE-588)121523128 aut Diffraction by an immersed elastic wedge Jean-Pierre Croisille ; Gilles Lebeau Berlin [u.a.] Springer 1999 VI, 134 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1723 Buiging (natuurkunde) gtt Coins (Mécanique) Equacoes diferenciais larpcal Functionaalanalyse gtt Mouvement ondulatoire, Théorie du Ondes - Diffraction Wave-motion, Theory of Waves Diffraction Wedges Beugungsproblem (DE-588)4346551-1 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Spektralfunktion (DE-588)4202759-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Beugungsproblem (DE-588)4346551-1 s Spektralfunktion (DE-588)4202759-7 s Approximation (DE-588)4002498-2 s DE-604 Lebeau, Gilles 1954- Verfasser (DE-588)121523136 aut Lecture notes in mathematics 1723 (DE-604)BV000676446 1723 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008752500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Croisille, Jean-Pierre 1961- Lebeau, Gilles 1954- Diffraction by an immersed elastic wedge Lecture notes in mathematics Buiging (natuurkunde) gtt Coins (Mécanique) Equacoes diferenciais larpcal Functionaalanalyse gtt Mouvement ondulatoire, Théorie du Ondes - Diffraction Wave-motion, Theory of Waves Diffraction Wedges Beugungsproblem (DE-588)4346551-1 gnd Approximation (DE-588)4002498-2 gnd Spektralfunktion (DE-588)4202759-7 gnd |
| subject_GND | (DE-588)4346551-1 (DE-588)4002498-2 (DE-588)4202759-7 (DE-588)4113937-9 |
| title | Diffraction by an immersed elastic wedge |
| title_auth | Diffraction by an immersed elastic wedge |
| title_exact_search | Diffraction by an immersed elastic wedge |
| title_full | Diffraction by an immersed elastic wedge Jean-Pierre Croisille ; Gilles Lebeau |
| title_fullStr | Diffraction by an immersed elastic wedge Jean-Pierre Croisille ; Gilles Lebeau |
| title_full_unstemmed | Diffraction by an immersed elastic wedge Jean-Pierre Croisille ; Gilles Lebeau |
| title_short | Diffraction by an immersed elastic wedge |
| title_sort | diffraction by an immersed elastic wedge |
| topic | Buiging (natuurkunde) gtt Coins (Mécanique) Equacoes diferenciais larpcal Functionaalanalyse gtt Mouvement ondulatoire, Théorie du Ondes - Diffraction Wave-motion, Theory of Waves Diffraction Wedges Beugungsproblem (DE-588)4346551-1 gnd Approximation (DE-588)4002498-2 gnd Spektralfunktion (DE-588)4202759-7 gnd |
| topic_facet | Buiging (natuurkunde) Coins (Mécanique) Equacoes diferenciais Functionaalanalyse Mouvement ondulatoire, Théorie du Ondes - Diffraction Wave-motion, Theory of Waves Diffraction Wedges Beugungsproblem Approximation Spektralfunktion Hochschulschrift |
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