1 citations · 1 across the 9 of their papers we have counts for
11 papers
On the Uniqueness of a Nonlinear Discrete Calderón Problem
Elena Beretta, Maolin Deng, Alberto Gandolfi +1
The discrete Calderón problem aims at recovering the conductivity on the edges of a graph from boundary measurements, encoded by the discrete Dirichlet-to-Neumann (DtN) map. The pr…
Stability and Reconstruction of a Nonlinearity in a Parabolic Equation from Partial Boundary Data
Jason Choy, Maolin Deng, Bangti Jin +1
In this work, we investigate the inverse problem of determining a semilinear term in a nonlinear parabolic equation from one single boundary flux measurement taken on an arbitrary…
Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
Siyu Cen, Bangti Jin, Yavar Kian +1
In this work, we propose an easy-to-implement fixed-point algorithm for reconstructing a space-time dependent source in a subdiffusion model from lateral boundary measurements. The…
Identification of a Point Source in the Heat Equation from Sparse Boundary Measurements
Fangyu Gong, Bangti Jin, Yavar Kian +1
In this work we investigate the inverse problem of recovering one point source in the heat equation from sparse boundary measurement, i.e., the flux data at several points on the b…
Stability Estimates for the Inverse Problem of Reconstructing Point sources in Parabolic Equations
Kuang Huang, Bangti Jin, Yavar Kian +1
In this work, we investigate the stability issue of the inverse problem of determining the locations and time-dependent amplitudes of point sources in a parabolic equation with a n…
Unique Determination of Variable Order in Subdiffusion from a Single Measurement
Jiho Hong, Bangti Jin, Yavar Kian
We study the inverse problem of recovering a spatially dependent variable order in a time-fractional diffusion model from the boundary flux measurement generated by a single bounda…
On the uniqueness of the discrete Calderon problem on multi-dimensional lattices
Maolin Deng, Bangti Jin
In this work, we investigate the discrete Calderón problem on grid graphs of dimension three or higher, formed by hypercubic structures. The discrete Calderón problem is concerned…
Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement
Maolin Deng, Ali Feizmohammadi, Bangti Jin +1
This article is devoted to the detection of parameters in anomalous diffusion from a single passive measurement. More precisely, we consider the simultaneous identification of coef…
Stable Determination and Reconstruction of a Quasilinear Term in an Elliptic Equation
Jason Choy, Maolin Deng, Bangti Jin +1
In this work, we investigate the inverse problem of determining a quasilinear term appearing in a nonlinear elliptic equation from the measurement of the conormal derivative on the…
The discrete inverse conductivity problem solved by the weights of an interpretable neural network
Elena Beretta, Maolin Deng, Alberto Gandolfi +1
In this work, we develop a novel neural network (NN) approach to solve the discrete inverse conductivity problem of recovering the conductivity profile on network edges from the di…
Galerkin FEM for fractional order parabolic equations with initial data in
Bangti Jin, Raytcho Lazarov, Joseph Pasciak +1
We investigate semi-discrete numerical schemes based on the standard Galerkin and lumped mass Galerkin finite element methods for an initial-boundary value problem for homogeneous…