, Inverse acoustic and electromagnetic scattering theory, vol.93, 2012.
Lectures on Cauchy's problem in linear partial differential equations, Courier Corporation, 2014. ,
Full seismic waveform modelling and inversion, 2010. ,
Inverse problem theory and methods for model parameter estimation, vol.89, 2005. ,
Principles of radar and sonar signal processing, 2002. ,
, The ray and wave theory of lenses, vol.15, 1995.
Obstacle identification using the TRAC algorithm with a second-order 620 ,
, International Journal for Numerical Methods in Engineering, vol.118, issue.2, pp.61-92, 2019.
Recent developments in inverse acoustic scattering theory, Siam Review, vol.42, issue.3, pp.369-414, 2000. ,
On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method, Inverse problems, vol.18, issue.5, p.1229, 2002. ,
Qualitative methods in inverse scattering theory: An introduction, 2005. ,
Shape reconstruction of acoustic obstacles from the modulus of the far field pattern, Inverse Problems and Imaging, vol.1, issue.4, p.609, 2007. ,
Computational methods for acoustics 630 problems, pp.263-294, 2008. ,
An optimization method in inverse acoustic scattering by an elastic obstacle, SIAM Journal on Applied Mathematics, vol.70, issue.1, pp.168-187, 2009. ,
Near field sampling type methods for the inverse fluid-solid interaction problem, Inverse Problems & Imaging, vol.5, issue.2, pp.465-483, 2011. ,
Qualitative methods in inverse electromagnetic scattering theory: Inverse scattering for anisotropic media, IEEE Antennas and Propagation Magazine, vol.59, issue.5, pp.24-33, 2017. ,
Reconstruction procedures for two inverse scattering problems without the phase information, SIAM Journal on Applied Mathematics, vol.76, issue.1, pp.178-196, 2016. ,
The linear sampling method for inhomogeneous medium and buried objects from far field measurements, Applied Numerical Mathematics, vol.105, pp.82-95, 2016. ,
Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion, Journal of Computational Physics, vol.370, pp.1-24, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01806544
Simultaneous scatterer shape estimation and partial aperture far-field pattern 645 denoising, Communications in Computational Physics, vol.11, issue.2, pp.271-284, 2012. ,
Iterative methods for approximate solution of inverse problems, vol.577, 2005. ,
A quasi-Newton method in inverse obstacle scattering, Inverse Problems, vol.10, issue.5, p.1145, 1994. ,
A Newton method for solving the inverse scattering problem for a sound-hard obstacle, Inverse Problems, vol.12, issue.3, p.309, 1996. ,
-Kantorovich method applied to two-dimensional inverse scattering for an exterior Helmholtz problem, Inverse Problems, vol.5, p.1173, 1989. ,
Inverse acoustic wave scattering in two dimensions from impenetrable targets, Inverse Problems, vol.5, issue.6, p.1131, 1989. ,
An efficient numerical method for exterior and interior inverse problems of Helmholtz equation, Wave Motion, vol.13, issue.4, pp.387-399, 1991. ,
Integral equation methods in inverse obstacle scattering, Engineering analysis with boundary 660 elements, vol.15, pp.171-179, 1995. ,
The three dimensional inverse scattering problem for acoustic waves, Journal of Differential Equations, vol.46, issue.1, pp.46-58, 1982. ,
Inverse problems for acoustic waves using the penalised likelihood method, Inverse Problems, vol.2, issue.4, p.461, 1986. ,
Convexification of a 3-d coefficient inverse scattering problem, Computers & Mathematics with Applications, vol.77, issue.6, pp.1681-1702, 2019. ,
Convexification method for an inverse scattering problem and its performance for experimental backscatter data for buried targets, SIAM Journal on Imaging Sciences, vol.12, issue.1, pp.576-603, 2019. ,
Linearized inverse scattering problems in acoustics and elasticity, Wave motion, vol.12, issue.1, pp.15-52, 1990. ,
Inverse material identification in coupled acousticstructure interaction using a modified error in constitutive equation functional, Computational mechanics, vol.54, issue.3, pp.645-659, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00977526
Lamé parameter estimation from static displacement field measurements in the framework of nonlinear inverse problems, SIAM Journal on Imaging Sciences, vol.11, issue.2, pp.1268-1293, 2018. ,
Identifying Lamé parameters from time-dependent elastic wave measurements, Inverse Problems in Science and Engineering, vol.25, issue.1, pp.2-26, 2017. ,
A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency, Multiscale Modeling & Simulation, vol.3, issue.3, pp.597-628, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00637498
Identification of sound-soft 3D obstacles from phaseless data, Inverse Problems and Imaging, vol.4, issue.1, pp.131-149, 2010. ,
An analytical approach to estimate the number of small scatterers in 2D inverse scattering problems, Inverse Problems, vol.28, issue.7, p.75012, 2012. ,
Solution of the time-harmonic viscoelastic inverse problem with interior data in two dimensions, International journal for numerical methods in engineering, vol.92, issue.13, pp.1100-1116, 2012. ,
A multifrequency MUSIC algorithm for locating small inhomogeneities in inverse scattering, Inverse Problems, vol.33, issue.3, p.35015, 2017. ,
Recovering scattering obstacles by multi-frequency phaseless far-field data, Journal of Computational Physics, vol.345, pp.58-73, 2017. ,
Uniqueness results on phaseless inverse acoustic scattering with a reference ball, p.695 ,
, Inverse Problems, vol.34, issue.8, p.85002, 2018.
On simultaneous identification of the shape and generalized impedance boundary condition in obstacle scattering, SIAM Journal on Scientific Computing, vol.34, issue.3, pp.1824-1848, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00741618
Combined arrival-time imaging and time reversal for scatterer identifi-700 cation, Computer Methods in Applied Mechanics and Engineering, vol.313, pp.279-302, 2017. ,
, Sound, structures, and their interaction, vol.225, 1986.
On the existence and the uniqueness of the solution of a fluidstructure interaction scattering problem, Journal of Mathematical Analysis and applications, vol.412, issue.2, pp.571-588, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00903365
Valeurs propres d'un corpsélastique, Comptes rendus de l'Académie des sciences. Série 1, Mathématique, vol.311, issue.13, pp.857-859, 1990. ,
Characterization of partial derivatives with respect to material parameters in a fluid-solid interaction problem, Journal of Mathematical Analysis and Appli-710 cations, vol.465, issue.2, pp.903-927, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01806939
Mathematical determination of the Fréchet 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.1010-1036, 2018. ,
Fluid-solid interaction: acoustic scattering by a smooth elastic obstacle, SIAM 715 Journal on Applied Mathematics, vol.55, issue.4, pp.904-922, 1995. ,
Contribution to the numerical reconstruction in inverse elasto-acoustic scattering, 2018. ,
URL : https://hal.archives-ouvertes.fr/tel-01956212
A simple method for solving inverse scattering problems in the resonance region, Inverse problems, vol.12, issue.4, p.383, 1996. ,
Inverse obstacle scattering with modulus of the far field pattern as data, Inverse problems in medical imaging and nondestructive testing, pp.75-92, 1997. ,
Inverse scattering for surface impedance from phase-less far field data, Journal of Computational Physics, vol.230, issue.9, pp.3443-3452, 2011. ,
, Regularization of inverse problems, vol.375, 1996.
Gol'dman, Regularization of ill-posed problems by iteration methods, vol.499, 2013. ,
Methods for solving ill-posed problems, 1977. ,
Regularization of incorrectly posed problems, Soviet Mathematics Doklady, vol.4, pp.1624-1627, 1963. ,
Fréchet differentiability of the elasto-acoustic scattered field with respect to Lipschitz domains, Mathematical Methods in the Applied Sciences, vol.40, issue.2, pp.404-414, 2017. ,
The finite element method for elliptic problems, vol.40, 2002. ,
Bayliss-turkel-like radiation conditions on surfaces of arbitrary 735 shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, pp.184-211, 1999. ,
Radiation boundary conditions for wave-like equations, Communications on Pure and applied Mathematics, vol.33, issue.6, pp.707-725, 1980. ,
An adaptive uniaxial perfectly matched layer method for time-harmonic scattering problems, Numer. Math. Theor. Meth. Appl, vol.1, pp.113-137, 2008. ,
Long-term stable acoustic absorbing boundary conditions for regularshaped surfaces, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00776058
Efficient DG-like formulation equipped with curved boundary edges for solving elasto-acoustic scattering problems, International Journal for Numerical Methods in Engineering, vol.98, issue.10, pp.747-780, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00931852
A fully asynchronous multifrontal solver using distributed dynamic scheduling, SIAM Journal on Matrix Analysis and Applications, vol.23, issue.1, pp.15-41, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00808293
Hybrid scheduling for the parallel solution of linear systems, Parallel computing, vol.32, issue.2, pp.136-156, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00070599
On the solution of functional equations by the method of regularization ,
, Russian Academy of Sciences, vol.167, pp.510-512, 1966.
Choice of parameter for the solution of functional equations by the regularization method, Russian Academy of Sciences, vol.8, pp.1000-1003, 1967. ,
, Spline models for observational data, vol.59, 1990.
The use of the L-curve in the regularization of discrete ill-posed problems, 755 SIAM Journal on Scientific Computing, vol.14, issue.6, pp.1487-1503, 1993. ,
Full determination of elastic scatterer characteristics from FFP measurements, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01976990