Asymptotic formuli for steady state voltage potentials in the presence of conductivity imperfections of small area
نویسندگان
چکیده
We derive asymptotic formuli for two dimensional steady state voltage potentials associated with thin, “curve-like” conductivity imperfections. Our derivation is formal, and based on asymptotic matching of terms in an appropriate set of integral equations. In combination with the formuli (rigorously) derived in [3] for imperfections of small diameter, these new formuli cover the generic imperfections of small area in two dimensions.
منابع مشابه
High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter
We derive high-order terms in the asymptotic expansions of the steadystate voltage potentials in the presence of a finite number of diametrically small inhomogeneities with conductivities different from the background conductivity. Our derivation is rigorous, and based on layer potential techniques. The asymptotic expansions in this paper are valid for inhomogeneities with Lipschitz boundaries ...
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