Reconstruction of acoustically sound-hard obstacles from the far field using a boundary integral equation method

Proceedings of the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering

Volumn , Issue , 2008, Pages 47-56

  Ivanyshyn, O ^a   Johansson, B T ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; BIOMEDICAL ENGINEERING; BIOPHYSICS; BOUNDARY INTEGRAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS;

BOUNDARY INTEGRAL EQUATION METHOD; BOUNDARY INTEGRALS; DOUBLE LAYER POTENTIAL; FAR-FIELD PATTERNS; NEUMANN EIGENVALUES; SCATTERED FIELD; TIME-HARMONIC WAVES; WAVE NUMBERS;

NUMERICAL METHODS;

EID: 84904010529     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1142/9789812814852_0006     Document Type: Conference Paper

References (14)

1. J. Cheng and M. Yamamoto, Chinese Ann. Math. Ser. B 25, 1-6 (2004).
2. D. Colton and R. Kress, Springer-Verlag, Berlin, (1998).
3. V. Isakov, Comm. Part. Diff. Equa. 15, 1565-1587 (1990).
4. O. Ivanyshyn and R. Kress, In: Mathematical Methods in Scattering Theory and Biomedical Engineering (Fotiatis, Massalas, eds). World Scientific, Singapore, 39-50 (2006).
5. O. Ivanyshyn and R. Kress, J. Integral Equations Appl. 18, 13-37 (2006).
6. O. Ivanyshyn and T. Johansson, Accepted 2006 for publication in J. Integral Equations Appl.
7. O. Ivanyshyn and T. Johansson, Submitted 2006-10-02 to Journal of Inverse and Ill-posed Problems.
8. O. Ivanyshyn and T. Johansson, To appear in J. Comp. Appl. Math.
9. T. Johansson and B. D. Sleeman, IMA J. Appl. Math. 72, 96-112 (2007).
10. R. Kress, J. Comput. Appl. Math. 61, 345-360 (1995).
11. R. Kress and W. Rundell, Inv. Probl. 17, 1075-1085 (2001).
12. H. Liu and J. Zou, Inverse Problems 22, 515-524 (2006).
13. R. Potthast, Inv. Probl. 10, 431-447 (1994).
14. B. D. Sleeman (1981), Applied Mathematics Institute Technical Report No. 114 A, University of Delaware, Newark, 1981.