1 citations · 2 across the 6 of their papers we have counts for
6 papers
Global boundedness of a two-species attraction-attraction chemotaxis model with bilinear boundary influx
Gurusamy Arumugam, Silvia Frassu, Kwancheol Shin +1
Since its introduction, the Keller--Segel model has become a cornerstone in the mathematical theory of chemotaxis and it has generated extensive analytical activity. Most studies c…
Learning-Enhanced Variational Regularization for Electrical Impedance Tomography via Calderón's Method
Kai Li, Kwancheol Shin, Zhi Zhou
This paper aims to numerically solve the two-dimensional electrical impedance tomography (EIT) with Cauchy data. This inverse problem is highly challenging due to its severe ill-po…
Determining a Time-Varying Potential in Time-Fractional Diffusion from Observation at a Single Point
Siyu Cen, Kwancheol Shin, Zhi Zhou
We discuss the identification of a time-dependent potential in a time-fractional diffusion model from a boundary measurement taken at a single point. Theoretically, we establish a…
Numerical Recovery of a Time-Dependent Potential in Subdiffusion
Bangti Jin, Kwancheol Shin, Zhi Zhou
In this work we investigate an inverse problem of recovering a time-dependent potential in a semilinear subdiffusion model from an integral measurement of the solution over the dom…
Electrical Impedance Tomography with Deep Calderón Method
Siyu Cen, Bangti Jin, Kwancheol Shin +1
Electrical impedance tomography (EIT) is a noninvasive medical imaging modality utilizing the current-density/voltage data measured on the surface of the subject. Calderón's method…
A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón's method in the plane
Rashmi Murthy, Yi-Hsuan Lin, Kwancheol Shin +1
A direct reconstruction algorithm based on Calderón's linearization method for the reconstruction of isotropic conductivities is proposed for anisotropic conductivities in two-dime…