On the determination of a robin boundary coefficient in an elastic cavity using the MFS

Computational Methods in Applied Sciences

Volumn 11, Issue , 2009, Pages 125-139

  Alves, Carlos J S ^a   Martins, Nuno F M ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Inverse problems; Lam system; Method of fundamental solutions; Robin boundary conditions

Indexed keywords

EID: 84962808580     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-8821-6_8     Document Type: Conference Paper

References (14)

1. C. J. S. Alves and C. S. Chen, A new method of fundamental solutions applied to nonhomogeneous elliptic problems, Adv. Comp. Math., 23, 125-142, 2005.
2. C. J. S. Alves and N. F. M. Martins, The Direct Method of Fundamental Solutions and the Inverse Kirsch-Kress Method for the Reconstruction of Elastic Inclusions or Cavities, Preprint (22), Department of Mathematics, FCT/UNL, Caparica, Portugal, 2007.
3. C. J. S. Alves and N. F. M. Martins, Reconstruction of inclusions or cavities in potential problems using the MFS, Submitted.
4. A. Bogomolny, Fundamental solutions method for elliptic boundary value problems, SIAM J. Numer. Anal., 22, 644-669, 1985.
5. K. Bryan and L. Caudill, An inverse problem in thermal imaging, SIAM J. Appl. Math., 56, 715-735, 1996.
6. S. Chaabane, C. Elhechmi and M. Jaoua, A stable recovery method for the Robin inverse problem, Math. Comput. Simulat., 66, 367-383, 2004.
7. F. Cakoni and R. Kress, Integral equations for inverse problems in corrosion detection from partial Cauchy data, Inverse Problems and Imaging, 1(2), 229-245, 2007.
8. G. Chen and J. Zou, Boundary Element Methods, Academic, London, 1992.
9. G. Fairweather and A. Karageorghis, The method of fundamental solutions for elliptic boundary value problems, Adv. Comput. Math., 9, 69-95, 1998.
10. G. Inglese, An inverse problem in corrosion detection, Inverse Probl., 13, 977-994, 1997.
11. P. Kaup and F. Santosa, Nondestructive evaluation of corrosion damage using electrostatic measurements, J. Nondestruct. Eval., 14, 127-136, 1995.
12. V. D. Kupradze and M. A. Aleksidze, The method of functional equations for the aproximate solution of certain boundary value problems, Zh. vych. mat., 4, 683-715, 1964.
13. K. Madsen, H. B. Nielsen and O. Tingleff, Methods for non-linear least squares problems, IMM, 60 pages, Denmark, 2004.
14. L. Marin and D. Lesnic, The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity, Int. J. Solids Struct., 41(13), 3425-3438, 2004.