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math.FA2024
Matrix representation of the Neumann-Poincaré operator for a torus
Doosung Choi
We represent a matrix representation of the Neumann-Poincaré operator defined on the boundaries of a torus. A torus is a doubly connected domain in three dimensions. There is a wel…
math.AP2024
Analytic asymptotic formulas for effective parameters of planar elastic composites
Daehee Cho, Doosung Choi, Mikyoung Lim
We investigate the effective elastic properties of periodic dilute two-phase composites consisting of an homogeneous isotropic matrix and a periodic array of rigid inclusions. We a…
math.AP2024
A matrix formulation of the plane elastostatic inclusion problem via geometric function theory
Daehee Cho, Doosung Choi, Mikyoung Lim
We investigate the two-dimensional elastostatic inclusion problem in an unbounded medium. Building on the recent developments for rigid inclusions \cite{Mattei:2021:EAS} and conduc…