R. Potthast, Fr??chet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain, Journal of Inverse and Ill-Posed Problems, vol.4, issue.1, pp.67-84, 1996.
DOI : 10.1515/jiip.1996.4.1.67

R. Djellouli, C. Farhat, J. Mandel, and P. Vanek, Continuous Frechet differentiability with respect to a Lipschitz domain and a stability estimate for direct acoustic scattering problems, IMA Journal of Applied Mathematics, vol.63, issue.1, pp.51-69, 1999.
DOI : 10.1093/imamat/63.1.51
URL : http://www-math.cudenver.edu/ccmreports/rep133.ps.gz

F. L. Louër, On the Fr??chet Derivative in Elastic Obstacle Scattering, SIAM Journal on Applied Mathematics, vol.72, issue.5, pp.1493-1507, 2012.
DOI : 10.1137/110834160

A. Charalambopoulos, On the Frechet differentiability of boundary integral operators in the inverse elastic scattering problem, Inverse Problems, vol.11, issue.6, p.1137, 1995.
DOI : 10.1088/0266-5611/11/6/002

S. Hubmer, E. Sherina, A. Neubauer, and O. Scherzer, Lamé parameter estimation from static displacement field measurements in the framework of nonlinear inverse problems, arXiv preprint
DOI : 10.1137/17m1154461
URL : http://arxiv.org/pdf/1710.10446

E. Beretta, E. Francini, A. Morassi, E. Rosset, and S. Vessella, Lipschitz continuous dependence of piecewise constant Lam?? coefficients from boundary data: the case of non-flat interfaces, Inverse Problems, vol.30, issue.12, p.125005, 2014.
DOI : 10.1088/0266-5611/30/12/125005

A. Kirsch and A. Rieder, On the linearization of operators related to the full waveform inversion in seismology, Mathematical Methods in the Applied Sciences, vol.29, issue.18, pp.2995-3007, 2014.
DOI : 10.1007/978-1-4419-8474-6

A. Lechleiter and J. W. Schlasche, Identifying Lam?? parameters from time-dependent elastic wave measurements, Inverse Problems in Science and Engineering, vol.167, issue.1, pp.2-26, 2017.
DOI : 10.1515/jnum-2012-0013

H. Barucq, R. Djellouli, and E. Estecahandy, On the existence and the uniqueness of the solution of a fluid???structure interaction scattering problem, Journal of Mathematical Analysis and Applications, vol.412, issue.2, pp.571-588, 2014.
DOI : 10.1016/j.jmaa.2013.10.081
URL : https://hal.archives-ouvertes.fr/hal-00903365

H. Barucq, R. Djellouli, and E. Estecahandy, Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems, International Journal for Numerical Methods in Engineering, vol.62, issue.6, pp.747-780, 2014.
DOI : 10.1121/1.381680
URL : https://hal.archives-ouvertes.fr/hal-00931852

H. Barucq, R. Djellouli, E. Estecahandy, and M. Moussaoui, Mathematical Determination of the Fr??chet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains, SIAM Journal on Mathematical Analysis, vol.50, issue.1, pp.1-29, 2017.
DOI : 10.1137/16M1094749

H. Barucq, R. Djellouli, and E. Estecahandy, Characterization of the Fr??chet derivative of the elasto-acoustic field with respect to Lipschitz domains, Journal of Inverse and Ill-Posed Problems, vol.22, issue.1, pp.1-8, 2014.
DOI : 10.1515/jip-2012-0098

H. Barucq, R. Djellouli, and E. Estecahandy, Fr??chet differentiability of the elasto-acoustic scattered field with respect to Lipschitz domains, Mathematical Methods in the Applied Sciences, vol.77, issue.13, pp.404-414, 2017.
DOI : 10.1090/S0025-5718-08-02108-X

R. Potthast, Frechet differentiability of boundary integral operators in inverse acoustic scattering, Inverse Problems, vol.10, issue.2, p.431, 1994.
DOI : 10.1088/0266-5611/10/2/016

M. Costabel and F. L. Louër, Shape Derivatives of Boundary Integral Operators in Electromagnetic Scattering. Part I: Shape Differentiability of Pseudo-homogeneous Boundary Integral Operators, Integral Equations and Operator Theory, vol.4, issue.4, pp.509-535, 2012.
DOI : 10.1007/978-3-642-58106-9
URL : https://hal.archives-ouvertes.fr/hal-00453948

F. and L. Louër, Optimisation de forme d'antennes lentilles intégrées aux ondes millimétriques, 2009.

R. Potthast, Domain Derivatives in Electromagnetic Scattering, Mathematical Methods in the Applied Sciences, vol.10, issue.15, pp.1157-1175, 1996.
DOI : 10.1007/978-3-642-87722-3

L. Päivärinta and R. Kress, On the Far Field in Obstacle Scattering, SIAM Journal on Applied Mathematics, vol.59, issue.4, pp.1413-1426, 1999.
DOI : 10.1137/S0036139997332257

H. Haddar and R. Kress, On the Fr??chet Derivative for Obstacle Scattering with an Impedance Boundary Condition, SIAM Journal on Applied Mathematics, vol.65, issue.1, pp.194-208, 2004.
DOI : 10.1137/S0036139903435413
URL : http://epubs.siam.org/doi/pdf/10.1137/S0036139903435413

T. Hohage, Iterative methods in inverse obstacle scattering: regularization theory of linear and nonlinear exponentially ill-posed problems, 1999.

C. J. Alves and R. Kress, On the far-field operator in elastic obstacle scattering, IMA Journal of Applied Mathematics, vol.67, issue.1, pp.1-21, 2002.
DOI : 10.1093/imamat/67.1.1

W. C. Mclean, Strongly elliptic systems and boundary integral equations, 2000.

P. Monk and V. Selgas, An inverse fluid?solid interaction problem, Inverse Problems & Imaging, vol.3, issue.2, pp.173-198, 2009.

G. C. Hsiao, R. E. Kleinman, and G. F. Roach, Weak Solutions of Fluid-Solid Interaction Problems, Mathematische Nachrichten, vol.84, issue.1, pp.139-163, 2000.
DOI : 10.1098/rspa.1982.0133

A. Buffa, Trace theorems on non-smooth boundaries for functional spaces related to Maxwell equations: an overview, Lecture notes in computational science, pp.28-51, 2003.
DOI : 10.1007/978-3-642-55745-3_3

D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, 2012.
DOI : 10.1007/978-1-4614-4942-3
URL : http://cds.cern.ch/record/1499488/files/9781461449416_TOC.pdf

F. Ihlenburg, Finite element analysis of acoustic scattering, 2006.
DOI : 10.1007/b98828

X. Antoine, H. Barucq, and A. Bendali, Bayliss???Turkel-like Radiation Conditions on Surfaces of Arbitrary Shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, pp.184-211, 1999.
DOI : 10.1006/jmaa.1998.6153
URL : https://doi.org/10.1006/jmaa.1998.6153

X. Antoine, Conditions de radiation sur le bord, 1997.

F. Cakoni and D. Colton, Qualitative methods in inverse scattering theory: An introduction, 2005.

D. Baskin, E. A. Spence, and J. Wunsch, Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations, SIAM Journal on Mathematical Analysis, vol.48, issue.1, pp.229-267, 2016.
DOI : 10.1137/15M102530X
URL : http://arxiv.org/pdf/1504.01037

A. Kimeswenger, O. Steinbach, and G. Unger, Coupled Finite And Boundary Element Methods for Fluid-Solid Interaction Eigenvalue Problems, SIAM Journal on Numerical Analysis, vol.52, issue.5, pp.2400-2414, 2014.
DOI : 10.1137/13093755x

P. Monk and E. Süli, The Adaptive Computation of Far-Field Patterns by A Posteriori Error Estimation of Linear Functionals, SIAM Journal on Numerical Analysis, vol.36, issue.1, pp.251-274, 1998.
DOI : 10.1137/S0036142997315172

T. Huttunen, J. Kaipio, and P. Monk, An ultra-weak method for acoustic fluid???solid interaction, Journal of Computational and Applied Mathematics, vol.213, issue.1, pp.166-185, 2008.
DOI : 10.1016/j.cam.2006.12.030
URL : https://doi.org/10.1016/j.cam.2006.12.030