Inverse conductivity problem for spherical particles

V Mityushev, N Rylko, Z Zhunussova… - Mechanics and Physics of …, 2022 - Elsevier
Randomly distributed nonoverlapping perfectly conducting n spheres of radii rk (k= 1, 2,…,
n) are embedded in a conducting matrix occupying a large ball of the normalized unit radius.
The potential and the normal flux are given on the boundary of large ball. The locations of
inclusions ak are not known. A perturbation term induced by inclusions is constructed in
general case and studied up to O (R 4) for equal spheres when R= r k. It includes the
unknown centers of inclusions in symbolic form. The inverse problem is reduced to …
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