74 citations · 285 across the 55 of their papers we have counts for
5 papers · 1 filter
Two unique Identifiability results for inverse scattering problems within polyhedral geometries
Xinlin cao, Huaian Diao, Hongyu Liu +1
We consider the unique determinations of impenetrable obstacles or diffraction grating profiles in by a single far-field measurement within polyhedral geometries. We…
An Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems
Bangti Jin, Zehui Zhou, Jun Zou
Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method…
An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem
Bowen Li, Jun Zou
In this work, an adaptive edge element method is developed for an H(curl)-elliptic constrained optimal control problem. We use the lowest-order Nedelec's edge elements of first fam…
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…
FFT-based free space Poisson solvers: why Vico-Greengard-Ferrando should replace Hockney-Eastwood
Junyi Zou, Eugenia Kim, Antoine J. Cerfon
Many problems in beam physics and plasma physics require the solution of Poisson's equation with free-space boundary conditions. The algorithm proposed by Hockney and Eastwood is a…