A Newton method for solving the inverse scattering problem for a sound-hard obstacle

Inverse Problems

Volumn 12, Issue 3, 1996, Pages 309-323

  Mönch, Lars ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243333658     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/3/010     Document Type: Article

References (19)

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4. Hettlich F 1995 Fréchet derivatives in inverse obstacle scattering Inverse Problems 11 371-82
5. Hettlich F 1996 An iterative method for the inverse scattering problem from sound-hard obstacles Preprint
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9. Kress R 1996 Fréchet differentiability of the far field operator for scattering from a crack J. Inverse Ill-Posed Problems to appear
10. Kress R 1995 Integral equatin methods in inverse obstacle scattering Eng. Analysis Boundary Elements 15 171-9
11. Kress R 1995 On the numerical solution of a hypersingular integral equation in scattering theory J. Comput. Appl. Math. 61 345-60
12. Kress R and Rundell W 1994 A quasi-Newton method in inverse obstacle scattering Inverse Problems 10 1145-57
13. Mönch L 1996 On the numerical solution of the direct scattering problem for a sound-hard open arc J. Comput. Appl. Math. to appear
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15. Nachbin L 1981 Introduction to Functional Analysis: Banach Spaces and Differential Calculus (New York: Marcel Dekker)
16. Potthast R 1994 Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain Proc. Conf. on Inverse Problems in Engineering Sciences (Osaka 1994)
17. Prössdorf S and Saranen J 1994 A fully discrete approximation method for the exterior Neumann problem of the Helmhotz equation Z. Anal. Anw. 13 683-95
18. Roger A 1981 Newton-Kantorovich algorithm applied to an electromagnetic inverse problem IEEE Trans. Ant. Prop. 29 232-8
19. Tobocman W 1989 Inverse acustic wave scattering in two dimensions from impenetrable targets Inverse Problems 5 1131-44