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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 2
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Articles

Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces

Johannes ElschnerWeierstrass Institute, Mohrenstr. 39, 10117Berlin, Germany.Correspondence[email protected]
&
Guanghui HuWeierstrass Institute, Mohrenstr. 39, 10117Berlin, Germany.
Pages 251-278 | Received 17 Aug 2013, Accepted 22 Jan 2014, Published online: 24 Feb 2014

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Peijun Li, Yuliang Wang & Yue Zhao. (2016) Convergence analysis in near-field imaging for elastic waves. Applicable Analysis 95:11, pages 2339-2360.
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Articles from other publishers (15)

Tao Yin, Lu Zhang & Xiaopeng Zhu. (2024) Helmholtz decomposition based windowed Green function methods for elastic scattering problems on a half-space. Journal of Computational Physics 502, pages 112818.
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Jianli Xiang & Guozheng Yan. (2022) The factorization method for a mixed inverse elastic scattering problem. IMA Journal of Applied Mathematics 87:3, pages 407-437.
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Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde & Sonia Fliss. (2022) On the Half-Space Matching Method for Real Wavenumber. SIAM Journal on Applied Mathematics 82:4, pages 1287-1311.
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Tielei Zhu & Jiaqing Yang. (2022) A non-iterative sampling method for inverse elastic wave scattering by rough surfaces. Inverse Problems and Imaging 16:4, pages 997.
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Oscar P. Bruno & Tao Yin. (2021) A windowed Green function method for elastic scattering problems on a half-space. Computer Methods in Applied Mechanics and Engineering 376, pages 113651.
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Jianli Xiang & Guozheng Yan. (2021) The inverse elastic scattering by an impenetrable obstacle and a crack. IMA Journal of Applied Mathematics 86:1, pages 1-29.
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Guanghui Hu, Peijun Li & Yue Zhao. (2020) Elastic scattering from rough surfaces in three dimensions. Journal of Differential Equations 269:5, pages 4045-4078.
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Guanghui Hu, Xiaoli Liu, Bo Zhang & Haiwen Zhang. (2019) A non-iterative approach to inverse elastic scattering by unbounded rigid rough surfaces. Inverse Problems 35:2, pages 025007.
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Xiaoli Liu, Bo Zhang & Haiwen Zhang. (2019) Near-Field Imaging of an Unbounded Elastic Rough Surface with a Direct Imaging Method. SIAM Journal on Applied Mathematics 79:1, pages 153-176.
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Gang Bao, Guanghui Hu & Tao Yin. (2018) Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes. SIAM Journal on Applied Mathematics 78:5, pages 2672-2691.
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Zewen Wang & Shufang Qiu. (2017) A numerical approximation of the two-dimensional elastic wave scattering problem via integral equation method. Applied Numerical Mathematics 113, pages 156-167.
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Peijun Li, Yuliang Wang & Yue Zhao. (2016) Near-field imaging of biperiodic surfaces for elastic waves. Journal of Computational Physics 324, pages 1-23.
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Guanghui Hu, Andreas Rathsfeld & Tao Yin. (2015) Finite element method to fluid–solid interaction problems with unbounded periodic interfaces. Numerical Methods for Partial Differential Equations 32:1, pages 5-35.
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Peijun Li, Yuliang Wang & Yue Zhao. (2015) Inverse elastic surface scattering with near-field data. Inverse Problems 31:3, pages 035009.
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Masahiro Yamamoto, Guanghui Hu & Johannes Elschner. (2015) Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Inverse Problems and Imaging 9:1, pages 127-141.
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