116 citations · 194 across the 35 of their papers we have counts for
4 papers · 2 filters
Geometric series expansion of the Neumann-Poincaré operator: application to composite materials
Elena Cherkaev, Minwoo Kim, Mikyoung Lim
The Neumann-Poincaré operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary inte…
Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings
Ornella Mattei, Mikyoung Lim
We provide an analytical solution for the elastic fields in a two-dimensional unbounded isotropic body with a rigid inclusion. Our analysis is based on the boundary integral formul…
Shape monotonicity of the first Steklov-Dirichlet eigenvalue on eccentric annuli
Jiho Hong, Mikyoung Lim, Dong-Hwi Seo
In this paper, we investigate the monotonicity of the first Steklov--Dirichlet eigenvalue on eccentric annuli with respect to the distance, namely , between the centers of the i…
Analytical shape recovery of a conductivity inclusion based on Faber polynomials
Doosung Choi, Junbeom Kim, Mikyoung Lim
A conductivity inclusion, inserted in a homogeneous background, induces a perturbation in the background potential. This perturbation admits a multipole expansion whose coefficient…