116 citations · 194 across the 35 of their papers we have counts for
4 papers · 1 filter
The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory
Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon +1
We consider the Dirichlet and Neumann eigenvalues of the Laplacian for a planar, simply connected domain. The eigenvalues admit a characterization in terms of a layer potential of…
Shape reconstruction of a conductivity inclusion using the Faber polynomials
Doosung Choi, Junbeom Kim, Mikyoung Lim
We consider the shape reconstruction of a conductivity inclusion in two dimensions. We use the concept of Faber polynomials Polarization Tensors (FPTs) introduced in \cite{choi:201…
Geometric multipole expansion and its application to semi-neutral inclusions of general shape
Doosung Choi, Junbeom Kim, Mikyoung Lim
This paper presents a new concept of geometric multipole expansion for the conductivity or anti-plane elasticity problem in two dimensions by using the Faber polynomials. As an app…
A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media
Jaejun Yoo, Younghoon Jung, Mikyoung Lim +2
A robust algorithm is proposed to reconstruct the spatial support and the Lamé parameters of multiple inclusions in a homogeneous background elastic material using a few measuremen…