7 papers
Faber-Walsh field expansions for the planar conductivity problem with multiple inclusions
Doosung Choi, Mikyoung Lim
We derive an explicit Faber-Walsh representation for the planar conductivity problem with finitely many disjoint inclusions of general shape and independently chosen positive condu…
Conformal mapping based Physics-informed neural networks for designing neutral inclusions
Daehee Cho, Hyeonmin Yun, Jaeyong Lee +1
We address the neutral inclusion problem with imperfect boundary conditions, focusing on designing interface functions for inclusions of arbitrary shapes. Traditional Physics-Infor…
Single-qubit quantum gate at an arbitrary speed
Seongjin Ahn, Kichan Park, Daehee Cho +3
Quantum information processing comprises physical processes, which obey the quantum speed limit (QSL): high speed requires strong driving. Single-qubit gates using Rabi oscillation…
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…
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…
Analytic shape recovery of an elastic inclusion from elastic moment tensors
Daehee Cho, Mikyoung Lim
In this paper, we present an analytic non-iterative approach for recovering a planar isotropic elastic inclusion embedded in an unbounded medium from the elastic moment tensors (EM…
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…