Inverse elastic scattering from a crack

Inverse Problems

Volumn 12, Issue 5, 1996, Pages 667-684

  Kress, Rainer ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001394933     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/5/010     Document Type: Article

References (23)

1. Chapko R and Kress R 1993 On a quadrature method for a logarithmic integral equation of the first kind. World Scientific Series in Applicable Analysis, vol 2: Contributions in Numerical Mathematics ed R P Agarwal (Singapore: World Scientific) pp 127-40
2. Charalambopoulos A 1995 On the Fréchet differentiability of boundary integral operators in the inverse elastic scattering problem Inverse Problems 11 1137-61
3. Chen G and Zhou J 1992 Boundary Element Methods (London: Academic)
4. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
5. Dassios G 1988 The Atkinson-Wilkox expansion theorem for elastic waves Q. Appl. Math. 46 285-99
6. Hähner P 1993 A uniqueness theorem in inverse scattering of elastic waves IMA J. Appl. Math. 51 201-15
7. Hähner P and Hsiao G 1993 Uniqueness theorems in inverse obstacle scattering of elastic waves Inverse Problems 9 525-34
8. Henrici P 1986 Applied and Computational Complex Analysis vol 3 (New York: Wiley-Interscience)
9. Hsiao G, Stephan E and Wendland W 1985 An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an are Singularities and Constructive Methods for their Treatment (Lecture Notes in Math. 1121) ed P Grisvard et al (Berlin: Springer) pp 153-65
10. Hsiao G Stephan E and Wendland W 1991 On the Dirichlet problem in elasticity for a domain exterior to an are J. Comput. Appl. Math. 34 1-19
11. Isakov V 1990 On uniqueness in the inverse transmission scattering problem Commun. Part. Diff. Eq. 15 1565-87
12. Krich A and Kress R 1993 Uniqueness in inverse obstacle scattering Inverse Problems 9 285-99
13. Kress R 1989 Linear Intergral Equations (Berlin: Springer)
14. Kress R 1995 Inverse scattering from an open are Math. Meth. Appl. Sci. 18 267-93
15. Kress R 1995 Inverse scattering from a crack J. Inverse Ill-Posed Problems 3 305-13
16. Kress R and Sloan I H 1993 On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation Numer. Math. 66 199-214
17. Moré J J 1977 The Levenberg-Marquardt algorithm, implementation and theory Numerical Analysis (Lecture Notes in Math. 630) ed Watson (Berlin: Springer) pp 105-16
18. Multhopp H 1938 Die Berechnung der Aurtriebsverteilung von Tragflügeln Lufifahrt-Forschung 4 153-69
19. Potthast R 1994 Fréchet differentiability of boundary integral operatiors in inverse acoustic scattering Inverse Problems 10 431-47
20. Potthast R 1994 Fréchet Differenzierbarkeit von Randintegraloperatoren und Randwertproblemen zur Helmholtzgleichung und zu den Maxwellschen Gleichungen Dissertation Göttingen
21. Stephan E and Wendland W 1990 A hypersingular boundary integral method for two-dimensional screen and crack problems Arch. Rat. Mech. Anal. 112 363-90
22. Wickham G 1981 The diffraction of stress waves by a plane finite crack in two dimensions uniqueness and existence Proc. R. Soc. A 378 241-61
23. Yan Y and Sloan I H 1988 On intergral equations of the first-kind with logarithmic kernels J. Integral Eq. Appl. 1 549-79