Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued

Dag Lukkassen and Annette Meidell

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We consider generalized chessboard structures where the local conductivity takes two values a and b. All integer combinations of a and b which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite‐element method.

Date: 2012
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https://doi.org/10.1155/2012/874239

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:874239

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