Bayesian experimental design for linear elasticity
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Publication:6617205
DOI10.3934/ipi.2024015MaRDI QIDQ6617205
Publication date: 10 October 2024
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
inverse problemlinear elasticityBayesian experimental designLamé parameters\(\mathrm{A}\)-optimality
Optimal statistical designs (62K05) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Inverse problems in equilibrium solid mechanics (74G75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
- On Bayesian A- and D-optimal experimental designs in infinite dimensions
- Some geometric inverse problems for the Lamé system with applications in elastography
- On the inverse problem of identifying Lamé coefficients in linear elasticity
- Global uniqueness for an inverse boundary problem arising in elasticity
- Bayesian experimental design: A review
- Statistical and computational inverse problems.
- Planar crack identification in 3D linear elasticity by the reciprocity gap method
- Monotonicity-based regularization for shape reconstruction in linear elasticity
- The coupled adjoint-state equation in forward and inverse linear elasticity: incompressible plane stress
- Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain
- Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations
- A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification
- Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
- Reciprocity principle for the detection of planar cracks in anisotropic elastic material
- Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection
- A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
- Reciprocity principle and crack identification
- Layer Stripping for a Transversely Isotropic Elastic Medium
- Identification of Lame Parameters by Boundary Measurements
- Solution of inverse problems in elasticity imaging using the adjoint method
- Elastic modulus imaging: on the uniqueness and nonuniqueness of the elastography inverse problem in two dimensions
- On the inverse boundary value problem for linear isotropic elasticity
- Uniqueness in the Inverse Boundary Value Problem for Piecewise Homogeneous Anisotropic Elasticity
- Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity
- Boundary determination of the Lamé moduli for the isotropic elasticity system
- Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems
- Inverse Problems at the Boundary for an Elastic Medium
- Identification of the shape of the inclusion in the anisotropic elastic body
- Regularized boundary element solution for an inverse boundary value problem in linear elasticity
- Simultaneous inversion of shear modulus and traction boundary conditions in biomechanical imaging
- Sequentially optimized projections in x-ray imaging *
- Series reversion in Calderón’s problem
- Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know
- Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity
- Optimizing Electrode Positions in Electrical Impedance Tomography
- Mathematical Methods in Elasticity Imaging
- Boundary element-Landweber method for the Cauchy problem in linear elasticity
- On reconstruction of Lamé coefficients from partial Cauchy data
- Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review
- Shape reconstruction in linear elasticity: standard and linearized monotonicity method
- An Offline-Online Decomposition Method for Efficient Linear Bayesian Goal-Oriented Optimal Experimental Design: Application to Optimal Sensor Placement
- A Review of Modern Computational Algorithms for Bayesian Optimal Design
- Stability estimates for the expected utility in Bayesian optimal experimental design
- A Fast and Scalable Computational Framework for Large-Scale High-Dimensional Bayesian Optimal Experimental Design
- Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods
- Modern Bayesian experimental design
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