We consider generalized chessboard structures where the local conductivity takes two values and . All integer combinations of and 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.
Dag Lukkassen. Annette Meidell. "Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued." J. Appl. Math. 2012 1 - 7, 2012. https://doi.org/10.1155/2012/874239