Generalized chessboard structures whose effective conductivities are integer valued

DOI10.1155/2012/874239zbMath1238.80002DBLPjournals/jam/LukkassenM12OpenAlexW2049662788WikidataQ58907529 ScholiaQ58907529MaRDI QIDQ411116

Annette Meidell, Dag Lukkassen

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/874239

zbMATH Keywords

boundary value problemminimum principlefinite-element methodstationary heat conductionconductivity matrix

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Homogenization for problems in thermodynamics and heat transfer (80M40)

Cites Work

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• Power means with integer values
• A new method for numerical solution of checkerboard fields
• Four-Phase Checkerboard Composites
• Proof of a conjecture on the conductivity of checkerboards
• Periodic Heterogeneous Structures: New Explicit Solutions and Effective Characteristics of Refraction of an Imposed Field

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