Formulation of equation error estimator using measured displacement de-noised by temporal–spatial filter for system identification of elastic solids

DOI10.1080/17415977.2020.1725501zbMath1465.74029OpenAlexW3006064149MaRDI QIDQ4991527

Hae Sung Lee, Kwang-Yeun Park

Publication date: 3 June 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2020.1725501

zbMATH Keywords

sensitivitysystem identificationfinite element methodregularizationresidual errorequation error estimator

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Elastic materials (74B99) Inverse problems in dynamical solid mechanics (74H75)

Uses Software

• UTV

Cites Work

• Unnamed Item
• A Monte Carlo strategy for data-based mathematical modeling
• A non-linear inverse vibration problem of estimating the time-dependent stiffness coefficients by conjugate gradient method
• Determination of an optimal regularization factor in system identification with Tikhonov regularization for linear elastic continua
• Finite element formulation for shear modulus reconstruction in transient elastography
• Design of an FIR filter for the displacement reconstruction using measured acceleration in low-frequency dominant structures
• 1-Norm-based regularization scheme for system identification of structures with discontinuous system parameters
• Optimal Choice of a Truncation Level for the Truncated SVD Solution of Linear First Kind Integral Equations When Data are Noisy
• Rank-Deficient and Discrete Ill-Posed Problems
• A new spatial regularization scheme for the identification of the geometric shape of an inclusion in a finite body