Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models
DOI10.1515/jiip-2020-0142zbMath1495.35209OpenAlexW3197203607MaRDI QIDQ2162409
Publication date: 5 August 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2020-0142
optimal controlstability analysisbiological tissuesmagnetic resonance elastographyshear modulus reconstruction
Stability in context of PDEs (35B35) Nonlinear elasticity (74B20) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
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Cites Work
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- Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
- Stability analysis in magnetic resonance elastography. II.
- An introduction to mathematics of emerging biomedical imaging
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- Overdetermined elliptic boundary-value problems
- Unique determination of sound speeds for coupled systems of semi-linear wave equations
- Stability analysis for magnetic resonance elastography
- Current density impedance imaging
- Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements
- Anisotropic elastic moduli reconstruction in transversely isotropic model using MRE
- Stabilizing inverse problems by internal data
- Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields
- Interior estimates for elliptic systems of partial differential equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Hybrid inverse problems and redundant systems of partial differential equations
- A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements
- Mathematics of thermoacoustic tomography
- Calculating tissue shear modulus and pressure by 2D log-elastographic methods
- Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems
- Uniqueness and stability for the inverse medium problem with internal data
- Stability in the linearized problem of quantitative elastography
- Hybrid inverse problems and internal functionals
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