293 citations · 1.8k across the 110 of their papers we have counts for
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A Convergent Adaptive Finite Element Method for Electrical Impedance Tomography
Bangti Jin, Yifeng Xu, Jun Zou
In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for…
An Analysis of the Crank-Nicolson Method for Subdiffusion
Bangti Jin, Buyang Li, Zhi Zhou
In this work, we analyze a Crank-Nicolson type time stepping scheme for the subdiffusion equation, which involves a Caputo fractional derivative of order in time. It h…
Discrete maximal regularity of time-stepping schemes for fractional evolution equations
Bangti Jin, Buyang Li, Zhi Zhou
In this work, we establish the maximal -regularity for several time stepping schemes for a fractional evolution model, which involves a fractional derivative of order $α\in…
The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography
Giovanni S. Alberti, Habib Ammari, Bangti Jin +2
This paper provides an analysis of the linearized inverse problem in multifrequency electrical impedance tomography. We consider an isotropic conductivity distribution with a finit…
Group Sparse Recovery via the Penalty: Theory and Algorithm
Yuling Jiao, Bangti Jin, Xiliang Lu
In this work we propose and analyze a novel approach for group sparse recovery. It is based on regularized least squares with an penalty, which penalizes the numbe…