Green’s kernels for transmission problems in bodies with small inclusions
Vladimir Gilelevich Maz'ya, A. B. Movchan, Michael J. Nieves · Translations - American Mathematical Society/Translations · 2010
The uniform asymptotic approximation of Green's kernel for the transmission problem of antiplane shear is obtained for domains with small inclusions. The remainder estimates are provided. Numerical simulations are presented to illustrate the effectiveness of the approach.