Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity
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Publication:5153264
DOI10.1080/17415977.2020.1795151zbMath1470.65188arXiv1906.02194OpenAlexW3102759745MaRDI QIDQ5153264
T. Rezgui, Bastian Harrach, Sarah Eberle, H. Meftahi
Publication date: 29 September 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.02194
Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Monotonicity-based regularization for shape reconstruction in linear elasticity ⋮ Inverse problems on low-dimensional manifolds ⋮ A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method ⋮ Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods ⋮ Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem ⋮ Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability ⋮ Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials ⋮ Shape reconstruction in linear elasticity: standard and linearized monotonicity method ⋮ Monotonicity Principle in tomography of nonlinear conducting materials *
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