Fast finite element calculation of effective conductivity of random continuum microstructures: the recursive Poincaré-Steklov operator method

DOI10.1016/j.jcp.2017.04.021zbMath1376.78017OpenAlexW2606244297MaRDI QIDQ1686601

Christopher A. Schuh, Thomas J. Hardin

Publication date: 15 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.021

zbMATH Keywords

domain decompositionhomogenizationpercolationeffective mediumcompositereduction to the interface

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Composite media; random media in optics and electromagnetic theory (78A48) Homogenization in optics and electromagnetic theory (78M40)

Uses Software

• Eigen

Cites Work

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• The effective conductivity of random checkerboards
• The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios
• Spectral measure computations for composite materials
• Determination of the inertia of a partitioned Hermitian matrix
• Electrostatics and heat conduction in high contrast composite materials
• The Ising model and critical behavior of transport in binary composite media
• FFT‐based homogenization for microstructures discretized by linear hexahedral elements

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