Solution for the geometric elastostatic inverse problem by means of not completely overdetermined boundary data
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Publication:2656476
DOI10.3103/S0025654420080117zbMath1461.74023OpenAlexW3133889827MaRDI QIDQ2656476
Elena A. Kasparova, Efim I. Shifrin
Publication date: 11 March 2021
Published in: Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0025654420080117
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Cites Work
- Unnamed Item
- An optimization approach for the Cauchy problem in linear elasticity
- An iterative method for solving the Cauchy problem for elliptic equations
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Application of invariant integrals to the problems of defect identification
- Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
- Reconstruction of small inhomogeneities from boundary measurements
- Identification of an ellipsoidal defect in an elastic solid using boundary measurements
- Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method
- Solution of the Cauchy problem using iterated Tikhonov regularization
- A level set method for inverse problems
- Linear sampling methods for 2D inverse elastic wave scattering
- Level set methods for geometric inverse problems in linear elasticity
- Identification of a spheroidal defect in an elastic solid using a reciprocity gap functional
- Relaxation of a variational method for impedance computed tomography
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
- Reciprocity principle and crack identification
- A simple method using Morozov's discrepancy principle for solving inverse scattering problems
- Identification of elastic inclusions and elastic moment tensors by boundary measurements
- Levenberg–Marquardt level set methods for inverse obstacle problems
- A regularized extraction formula in the enclosure method
- Identification of multiple cracks in 2D elasticity by means of the reciprocity principle and cluster analysis
- The factorization method for a class of inverse elliptic problems
- Inverse problems in elasticity
- A simple method for solving inverse scattering problems in the resonance region
- Identification of planar cracks by complete overdetermined data: inversion formulae
- Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
- Obstacle visualization via the factorization method for the mixed boundary value problem
- A moving pseudo‐boundary method of fundamental solutions for void detection
- Reconstruction of an ellipsoidal defect in anisotropic elastic solid, using results of one static test
- A survey on sampling and probe methods for inverse problems