Small amplitude homogenization applied to inverse problems

DOI10.1007/s00466-007-0225-3zbMath1162.74359OpenAlexW2067468402MaRDI QIDQ1021121

Sergio Gutiérrez, Joaquin Mura

Publication date: 8 June 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-007-0225-3

zbMATH Keywords

inverse problemshomogenization\(H\)-measures

Mathematics Subject Classification ID

Inverse problems in equilibrium solid mechanics (74G75) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items

A Two-Scale Homogenization Approach for the Estimation of Porosity in Elastic Media ⋮ A method based on non-steady heat diffusion problems for detecting the location of inclusions ⋮ Small‐amplitude homogenization of elastic plates via H‐measures ⋮ Detection of weak defects in elastic bodies through small amplitude homogenization ⋮ On the effective properties of composite elastic plate ⋮ A method based on small amplitude homogenization for detecting defects using elastic waves ⋮ Multiscale Modeling of Weakly Compressible Elastic Materials in the Harmonic Regime and Applications to Microscale Structure Estimation ⋮ Small-amplitude homogenization of elastic plate equation

Uses Software

• FreeFem++

Cites Work

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• Microlocal defect measures
• Topological derivative for the inverse scattering of elastic waves
• Inverse problems in elasticity
• Inverse problem of aircraft structural parameter estimation: application of neural networks
• A survey on level set methods for inverse problems and optimal design
• Shape optimization by the homogenization method

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