Direct and indirect boundary integral equation methods:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2000
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| Series: | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics
107 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 201 S. |
| ISBN: | 0849306396 |
Staff View
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Record in the Search Index
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Titel: Direct and indirect boundary integral equation methods
Autor: Constanda, Christian
Jahr: 2000
Contents
Preface
Chapter 1. The Laplace Equation i
1.1. Notation and prerequisites 1
1.2. The fundamental boundary value problems 7
1.3. Green's formulae n
1.4. Uniqueness theorems 22
1.5. The harmonic potentials 14
1.6. Properties of the boundary Operators 17
1.7. The classical indirect method 24
1.8. The alternative indirect method 29
1.9. The modified indirect method 31
1.10. The refined indirect method 37
1.11. The direct method 4Q
1.12. The Substitute direct method 4g
Chapter 2. Plane Strain 54
2.1. Notation and prerequisites 54
2.2. The fundamental boundary value problems 58
2.3. The Betti and Somigliana formulae 61
2.4. Uniqueness theorems gg
2.5. The elastic potentials g7
2.6. Properties of the boundary Operators - 71
2.7. The classical indirect method 35
2.8. The alternative indirect method
2.9. The modified indirect method
2.10. The refined indirect method 102
2.11. The direct method ige
2.12. The Substitute direct method 114
Chapter 3. Bending of Elastic Plates 121
3.1. Notation and prerequisites 12i
3.2. The fundamental boundary value problems 126
92
95
3.3. The Betti and Somigliana formulae
3.4. Uniqueness theorems
3.5. The plate potentials
3.6. Properties of the boundary Operators
3.7. Boundary integral equation methods
Chapter 4. Which Method?
4.1. Notation and prerequisites
4.2. Connections between the indirect methods
4.3. Connections between the direct and indirect methods
4.4. Overall view and conclusions
Appendix
AI. Geometry of the boundary curve
A2. Properties of the boundary layer
A3. Integrals with singular kerneis
A4. Potential-type functions
A5. Other potential-type functions
A6. Complex singular kerneis
A7. Singular integral equations
References
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| dewey-raw | 515/.35 |
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| discipline | Mathematik |
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| isbn | 0849306396 |
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| spelling | Constanda, Christian 1944- Verfasser (DE-588)112608027 aut Direct and indirect boundary integral equation methods Christian Constanda Boca Raton [u.a.] Chapman & Hall/CRC 2000 201 S. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 107 Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 s DE-604 Chapman & Hall/CRC monographs and surveys in pure and applied mathematics 107 (DE-604)BV013350872 107 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008700021&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Constanda, Christian 1944- Direct and indirect boundary integral equation methods Chapman & Hall/CRC monographs and surveys in pure and applied mathematics Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd |
| subject_GND | (DE-588)4076508-8 |
| title | Direct and indirect boundary integral equation methods |
| title_auth | Direct and indirect boundary integral equation methods |
| title_exact_search | Direct and indirect boundary integral equation methods |
| title_full | Direct and indirect boundary integral equation methods Christian Constanda |
| title_fullStr | Direct and indirect boundary integral equation methods Christian Constanda |
| title_full_unstemmed | Direct and indirect boundary integral equation methods Christian Constanda |
| title_short | Direct and indirect boundary integral equation methods |
| title_sort | direct and indirect boundary integral equation methods |
| topic | Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd |
| topic_facet | Boundary element methods Randelemente-Methode |
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