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Inverse Problems in Science and Engineering Volume 21, 2013 - Issue 2
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Original Articles

Application of the linear sampling method to identify cracks with impedance boundary conditions

Fahmi Ben HassenENIT-LAMSIN, Université de Tunis el-Manar, BP 37, 1002 Tunis, Tunisia
,
Yosra BoukariENIT-LAMSIN, Université de Tunis el-Manar, BP 37, 1002 Tunis, Tunisia;INRIA Saclay Ile de France/CMAP Ecole Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France
&
Houssem HaddarINRIA Saclay Ile de France/CMAP Ecole Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France
Pages 210-234 | Received 15 Jun 2011, Accepted 17 Apr 2012, Published online: 19 Jun 2012

Citations (17)

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Rencheng Song, Xiuzhu Ye & Xudong Chen. (2015) Reconstruction of scatterers with four different boundary conditions by T-matrix method. Inverse Problems in Science and Engineering 23:4, pages 601-616.
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Articles from other publishers (16)

Qianqian Zhang, Chengyou Yin & Anqi Li. (2023) Super-resolution imaging method assisted by a left-handed medium slab based on a neural network. Optics Express 31:20, pages 32134.
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Qian‐qian Zhang, Cheng‐you Yin, An‐qi Li & Han Liu. (2023) An inverse scattering reconstruction method for perfect electric conductor‐dielectric hybrid target based on physics‐inspired network. IET Radar, Sonar & Navigation 17:8, pages 1286-1298.
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Fan Yin, Chang Chen & Weidong Chen. (2022) Resolution Enhancement for Mixed Boundary Conditions in Inverse Scattering Problems. IEEE Transactions on Antennas and Propagation 70:5, pages 3643-3655.
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Fan Yin, Chang Chen & Weidong Chen. (2022) A Value Piking Method for Mixed Boundary Conditions in Inverse Scattering Problems. A Value Piking Method for Mixed Boundary Conditions in Inverse Scattering Problems.
J. Bannister, A. Gibbs & D. P. Hewett. (2022) Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation. Mathematical Models and Methods in Applied Sciences 32:02, pages 291-319.
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Fatemeh Pourahmadian. (2021) Experimental validation of differential evolution indicators for ultrasonic imaging in unknown backgrounds. Mechanical Systems and Signal Processing 161, pages 108029.
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Fatemeh Pourahmadian & Hao Yue. (2021) Laboratory application of sampling approaches to inverse scattering. Inverse Problems 37:5, pages 055012.
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Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola & Jeanne Besson. (2021) Boundary element methods for acoustic scattering by fractal screens. Numerische Mathematik 147:4, pages 785-837.
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L. Audibert, L. Chesnel, H. Haddar & K. Napal. (2021) Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves. SIAM Journal on Scientific Computing 43:2, pages B271-B297.
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Vahan Baronian, Laurent Bourgeois, Bastien Chapuis & Arnaud Recoquillay. (2018) Linear sampling method applied to non destructive testing of an elastic waveguide: theory, numerics and experiments. Inverse Problems 34:7, pages 075006.
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Fatemeh Pourahmadian, Bojan B Guzina & Houssem Haddar. (2017) Generalized linear sampling method for elastic-wave sensing of heterogeneous fractures. Inverse Problems 33:5, pages 055007.
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Qinghua Wu & Guozheng Yan. (2016) Mathematical basis for a mixed inverse scattering problem. Mathematics and Computers in Simulation 123, pages 37-52.
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Fioralba Cakoni, Irene de Teresa, Houssem Haddar & Peter Monk. (2016) Nondestructive Testing of the Delaminated Interface between Two Materials. SIAM Journal on Applied Mathematics 76:6, pages 2306-2332.
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Maya de Buhan & Marie Kray. (2013) A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods. Inverse Problems 29:8, pages 085009.
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Yosra Boukari & Houssem Haddar. (2013) The factorization method applied to cracks with impedance boundary conditions. Inverse Problems & Imaging 7:4, pages 1123-1138.
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Fatih Yaman, Valery G. Yakhno & Roland Potthast. (2013) A Survey on Inverse Problems for Applied Sciences. Mathematical Problems in Engineering 2013, pages 1-19.
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