E-Prints Complutense

[1] M. Bonnet and A. Constantinescu, Inverse problems in elasticity, Inverse Probl. 21 (2005),

pp. R1–R50.

[2] G.R. Feijoo, A new method in inverse scattering based on the topological derivative, Inverse Probl.

20 (2004), pp. 1819–1840.

[3] B.B. Guzina and M. Bonnet, Small-inclusion asymptotic of misfit functionals for inverse problems

in acoustics, Inverse Probl. 22 (2006), pp. 1761–1785.

[4] A. Carpio and M.L. Rapu´ n, Solving inverse inhomogeneous problems by topological derivative

methods, Inverse Probl. 24 (2008), p. 045014.

[5] B.B. Guzina and I. Chikichev, From imaging to material identification: A generalized concept of

topological sensitivity, J. Mech. Phys. Solids 55 (2007), pp. 245–279.

[6] B. Delattre, D. Ivaldi, and C. Stolz, Application du controˆle optimal a` l’identification d’un

chargement thermique, Rev. Eur. Elem. Finites 11 (2002), pp. 393–404.

[7] A. Peters, H.U. Berger, J. Chase, and E. Van Houten, Digital-image based elasto-tomography:

Nonlinear mechanical property reconstruction of homogeneous gelatine phantoms, Int. J. Inf. Syst.

Sci. 2 (2006), pp. 512–521.

[8] K.D. Paulsen, P.M. Meaney, and L. Gilman, Alternative Breast Imaging: Four Model Based

Approaches, Springer Series in Engineering and Computer Science, Vol. 778, Springer, Boston,

2005.

[9] Q.H. Liu, Z.Q. Zhang, T.T. Wang, J.A. Bryan, G.A. Ybarra, L.W. Nolte, and W.T. Joines,

Active microimaging I-2-D forward and inverse scattering methods, IEEE Trans. Micr. Theor.

Tech. 50 (2002), pp. 123–133.

[10] H.T. Liu, L.Z. Sun, G. Wang, and M.W. Vannier, Analytic modeling of breast elastography,

Med. Phys. 30 (2003), pp. 2340–2349.

[11] A. Carpio and M.L. Rapu´ n, Domain reconstruction by photothermal techniques, J. Comput.

Phys. 227 (2008), pp. 8083–8106.

[12] F. Santosa, A level set approach for inverse problems involving obstacles, ESAIM Control, Optim.

Calculus Variations 1 (1996), pp. 17–33.

[13] A. Carpio and M.L. Rapu´ n, Topological Derivatives for Shape Reconstruction, Lecture Notes in

Mathematics, Vol. 1943, Springer, Berlin, 2008, pp. 85–131.

[14] A. Carpio and M.L. Rapu´ n, Topological derivative based methods for non-destructive testing,

in Numerical Mathematics and Advanced Applications, K. Kunisch, G. Of, and O. Steinbach,eds., Springer, Berlin, 2008, pp. 687–694.

[15] M.L. Rapu´ n and F.J. Sayas, A mixed-FEM and BEM coupling for the approximation of the

scattering of thermal waves in locally non-homogeneous media, ESAIM Math. Model. Numer.

Anal. 40 (2006), pp. 871–896.

[16] O. Dorn and D. Lesselier, Level set methods for inverse scattering, Inverse Probl. 22 (2006),

pp. R67–R131.

[17] A. Litman, D. Leselier, and F. Santosa, Reconstruction of a two-dimensional binary obstacle by

controlled evolution of a level-set, Inverse Probl. 14 (1998), pp. 68–706.

[18] M.L. Rapu´ n and F.J. Sayas, Indirect methods with Brakhage–Werner potentials for Helmholtz

transmission problems, in Numerical Mathematics and Advanced Applications, A. Bermu´ dez de

Castro, D. Go´ mez, P. Quintela, and P. Salgado, eds., Springer, Berlin, 2006, pp. 1146–1154.