An Explicit Formula for Computing the Sensitivity of the Effective Conductivity of Heterogeneous Composite Materials to Local Inclusion Transport Properties and Geometry

DOI10.1137/120884961zbMath1280.35115OpenAlexW2068380616MaRDI QIDQ2874203

Benoit Noetinger

Publication date: 29 January 2014

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120884961

zbMATH Keywords

variational formulationhomogenizationinclusionsporous mediaFréchet derivativelevel setsupscalingfacescomposite mediaeffective conductivity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Optimization of shapes other than minimal surfaces (49Q10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Sensitivity analysis for optimization problems on manifolds (49Q12)

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