53 citations · 214 across the 16 of their papers we have counts for
5 papers · 1 filter
Restoring the Discontinuous Heat Equation Source Using Sparse Boundary Data and Dynamic Sensors
Guang Lin, Na Ou, Zecheng Zhang +1
This study focuses on addressing the inverse source problem associated with the parabolic equation. We rely on sparse boundary flux data as our measurements, which are acquired fro…
Solving the inverse potential problem in the parabolic equation by the deep neural networks method
Mengmeng Zhang, Zhidong Zhang
In this work, we consider an inverse potential problem in the parabolic equation, where the unknown potential is a space-dependent function and the used measurement is the final ti…
Identification of potential in diffusion equations from terminal observation: analysis and discrete approximation
Zhengqi Zhang, Zhidong Zhang, Zhi Zhou
The aim of this paper is to study the recovery of a spatially dependent potential in a (sub)diffusion equation from overposed final time data. We construct a monotone operator one…
Theoretical and numerical studies of inverse source problem for the linear parabolic equation with sparse boundary measurements
Guang Lin, Zecheng Zhang, Zhidong Zhang
We consider the inverse source problem in the parabolic equation, where the unknown source possesses the semi-discrete formulation. Theoretically, we prove that the flux data from…
Recovering an Unknown Source in a Fractional Diffusion Problem
William Rundell, Zhidong Zhang
A standard inverse problem is to determine a source which is supported in an unknown domain from external boundary measurements. Here we consider the case of a time-dependent s…