Shape reconstruction in linear elasticity: standard and linearized monotonicity method
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Publication:5859740
DOI10.1088/1361-6420/abc8a9zbMath1461.74022arXiv2003.02598OpenAlexW3009285110MaRDI QIDQ5859740
Publication date: 20 April 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02598
Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Inverse problems in equilibrium solid mechanics (74G75) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Existence of solutions of equilibrium problems in solid mechanics (74G22)
Related Items (6)
Monotonicity-based regularization for shape reconstruction in linear elasticity ⋮ A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ Identification of cavities and inclusions in linear elasticity with a phase-field approach ⋮ Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation ⋮ Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity
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