Transport properties of two-dimensional tilings with corners
Johan Helsing · Physical review. B, Condensed matter · 1991
A method for numerical calculation of the effective conductivity of a periodic array of cells is presented. Knowledge of bases for the space of solutions to the electrostatic equation in a cell is assumed. The method involves projection of the electric potential on these bases. Applications are made on two-dimensional two-phase tilings where polygons meet in bow-tie-shaped corners and the conductivity ratio between the phases is high. Examples of numerical accuracy are given.