activity
20172024
most citedGeometric multipole expansion and its application to semi-neutral inclusions of general shape

1 citations · 1 across the 10 of their papers we have counts for

collaborators

11 papers

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…

math.SP2023

Spectral analysis of the Neumann-Poincaré operator for thin doubly connected domains

Doosung Choi, Mikyoung Lim, Stephen P. Shipman

We analyze the spectrum of the Neumann-Poincaré (NP) operator for a doubly connected domain lying between two level curves defined by a conformal mapping, where the inner boundary…

math.AP2023

Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces

Doosung Choi, Mikyoung Lim

We investigate the problem of planar conductivity inclusion with imperfect interface conditions. We assume that the inclusion is simply connected. The presence of the inclusion cau…

math.AP2022

Inverse problem for a planar conductivity inclusion

Doosung Choi, Johan Helsing, Sangwoo Kang +1

This paper concerns the inverse problem of determining a planar conductivity inclusion. Our aim is to analytically recover from the generalized polarization tensors (GPTs), which c…