A Two-Scale Homogenization Approach for the Estimation of Porosity in Elastic Media

DOI10.1007/978-3-319-32013-7_6zbMath1404.35029OpenAlexW2504914662MaRDI QIDQ4555552

Alfonso Caiazzo, Joaquin Mura

Publication date: 20 November 2018

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32013-7_6

zbMATH Keywords

adjoint problemmagnetic resonance elastographycell problemnumerical interpolationsmall porosity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Computational multiscale methods for linear poroelasticity with high contrast ⋮ Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media

Uses Software

• FreeFem++

Cites Work

• Small amplitude homogenization applied to inverse problems
• Homogenization techniques for composite media. Lectures delivered at the CISM, International Center for Mechanical Sciences, Udine, Italy, July 1- 5, 1985
• Non-homogeneous media and vibration theory
• Homogenization and porous media
• Multiscale Finite Element Methods
• Multiscale Modeling of Elastic Waves: Theoretical Justification and Numerical Simulation of Band Gaps
• Homogenization of Elastic Media with Gaseous Inclusions
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Homogenization in perforated domains with rapidly pulsing perforations
• New development in freefem++
• Multiscale Modeling of Weakly Compressible Elastic Materials in the Harmonic Regime and Applications to Microscale Structure Estimation

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