Bounds for effective parameters of heterogeneous media by analytic continuation
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- Golden, K. & Papanicolaou, G. Commun.Math. Phys. (1983) 90: 473. doi:10.1007/BF01216179
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We give a mathematical formulation of a method for obtaining bounds on effective parameters developed by D. Bergman and G. W. Milton. This method, in contrast to others used before, does not rely on a variational principle, but exploits the properties of the effective parameter as an analytic function of the component parameters. The method is at present restricted to two-component media.