Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data
DOI10.1007/978-3-030-57784-1_6zbMath1487.65139arXiv1911.04855OpenAlexW2984134539MaRDI QIDQ3379561
Rebecca Klein, Thomas Schuster, Anne Wald
Publication date: 27 September 2021
Published in: Time-dependent Problems in Imaging and Parameter Identification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04855
Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Nonlinear elasticity (74B20) Plates (74K20) Transonic flows (76H05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Inverse problems for waves in solid mechanics (74J25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in dynamical solid mechanics (74H75)
Cites Work
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- Regularization methods in Banach spaces.
- Sequential subspace optimization for nonlinear inverse problems
- Iterative regularization methods for nonlinear ill-posed problems
- An iterative multi level algorithm for solving nonlinear ill-posed problems
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- Nonlinear interaction of waves in elastodynamics and an inverse problem
- The deal.II library, Version 9.1
- Improving the sensitivity to map nonlinear parameters for hyperelastic problems
- An iterative regularization method for nonlinear problems based on Bregman projections
- On the identifiability of the stored energy function of hyperelastic materials from sensor data at the boundary
- On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field
- Identifying Lamé parameters from time-dependent elastic wave measurements
- On the use of Lamb modes in the linear sampling method for elastic waveguides
- Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces
- Tomographic Terahertz Imaging Using Sequential Subspace Optimization
- A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification
- Identifying the stored energy of a hyperelastic structure by using an attenuated Landweber method
- Inverse problems in elasticity
- Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems
- Defect localization in fibre-reinforced composites by computing external volume forces from surface sensor measurements
- An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems
- Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms
- Uniqueness and stability result for Cauchy’s equation of motion for a certain class of hyperelastic materials
- A uniqueness result for a nonlinear hyperbolic equation
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