3 citations · 7 across the 5 of their papers we have counts for
6 papers
A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem for a wave-like partial differential equation. The presence o…
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis
Zhongjian Wang, Wenlong Zhang, Zhiwen Zhang
In this paper, we propose a data-driven model reduction method to solve parabolic inverse source problems efficiently. Our method consists of offline and online stages. In the off-…
Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems
Zhiming Chen, Wenlong Zhang, Jun Zou
In this work, we investigate the regularized solutions and their finite element solutions to the inverse source problems governed by partial differential equations, and establish t…
Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
For the first time, we develop a convergent numerical method for the llinear integral equation derived by M.M. Lavrent'ev in 1964 with the goal to solve a coefficient inverse probl…
Convexification for an Inverse Parabolic Problem
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
A convexification-based numerical method for a Coefficient Inverse Problem for a parabolic PDE is presented. The key element of this method is the presence of the so-called Carlema…
Convexification for the inversion of a time dependent wave front in a heterogeneous medium
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
An inverse scattering problem for the 3D acoustic equation in time domain is considered. The unknown spatially distributed speed of sound is the subject of the solution of this pro…