References
- Chen Q, Haddar H, Lechleiter A, Monk P. A sampling method for inverse scattering in the time domain. Inverse Problems. 2010, 26 (8), pp. 085001, 17.
- Thánh NT, Sini M. Accuracy of the linear sampling method for inverse obstacle scattering: effect of geometrical and physical parameters. Inverse Problems. 2010;2(6):25004.
- Cakoni F, Colton D. Qualitative methods in inverse scattering theory. An introduction. Berlin: Springer; 2006.
- Guzina B, Cakoni F, Bellis C. On the multi-frequency obstacle reconstruction via the linear sampling method. Inverse Problems. 2010;26:125005 (29pp).
- Luke DR, Potthast R. The point source method for inverse scattering in the time domain. Mathematical Methods in the Applied Sciences. 2006;29:1501–1521.
- Ammari H. An introduction to mathematics of emerging biomedical imaging. Springer, Series: Springer, Series: Mathématiques et Applications, 2008;Vol. 62.
- Burkard C, Potthast R. A time-domain probe method for three-dimensional rough surface reconstructions. Inverse Problems and Imaging. 2009;3:259–274.
- Griesmaier R. Multi-frequency orthogonality sampling for inverse obstacle scattering problems. Inverse Problems. 2011;2(7):085005.
- Borcea L, Papanicolaou GC, Tsogka C, Berryman J. Imaging and time reversal in random media. Inverse Problems. 2002;18:1247–1279.
- Bingham K, Kurylev Y, Lassas M, Siltanen S. Iterative time-reversal control for inverse problems. Inverse Problems and Imaging. 2008;2:63–81.
- Oksanen L. Inverse obstacle problem for the non-stationary wave equation with an unknown background, Preprint, http://arxiv.org/abs/1106.3204, 2011.
- Bamberger A, Duong TH. Formulation variationnelle espace-temps pour le calculpar potentiel retardé de la diraction d’une onde acoustique. Mathematical Methods in the Applied Science. 1986;8:405–435.
- Ha-Duong T. On retarded potential boundary integral equations and their discretisations. In: Ainsworth M, Davies P, Duncan D, Martin P, Rynne B, editors. Topics in computational wave propagation: direct and inverse problems. Springer-Verlag; 2003. p. 301–336.
- Filipe M, Forestier A, Ha-Duong T. A time-dependent acoustic scattering problem. In: Cohen GC, editor. Third International Conference on Mathematical and Numerical Aspects of Wave Propagation. SIAM, Philadelphia, PA, Philadelphia, PA; 1995. p. 140–150.
- Treves F. Basic linear partial differential equations. Academic Press, New York-London; 1975.
- Dautray R, Lions J. Analyse mathématiques et calcul numérique pour les sciences et techniques. Masson, Paris; 1985.
- McLean W. Strongly elliptic systems and boundary integral equations. Cambridge University Press Cambridge; 2000.
- Costabel M. Time-dependent problems with the boundary integral equation method. Encyclopedia of Computational Mechanics. 2004.
- Lubich C. On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Numerische Mathematik. 1994;67:365–389.
- Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. Springer; 1992.
- Kirsch A, Grinberg N. The factorization method for inverse problems. Oxford Lecture Series in Mathematics and Its Applications. 2008.
- Haddar H, Lechleiter A, Marmorat S. Une méthode d’échantillonnage linéaire dans le domaine temporel : le cas des obstacles de type Robin-Fourier, Research Report RR-7835, INRIA, 2011 Nov.
- Frigo M, Johnson SG. The design and implementation of FFTW3. Proceedings of the IEEE. 2005;93:216–231.