74 citations · 285 across the 55 of their papers we have counts for
55 papers
Finite Element Method for a Nonlinear PML Helmholtz Equation with High Wave Number
Run Jiang, Yonglin Li, Haijun Wu +1
A nonlinear Helmholtz equation (NLH) with high wave number and Sommerfeld radiation condition is approximated by the perfectly matched layer (PML) technique and then discretized by…
A family of immersed finite element spaces and applications to three dimensional interface problems
Long Chen, Ruchi Guo, Jun Zou
Maxwell interface problems are of great importance in many electromagnetic applications. Unfitted mesh methods are especially attractive in 3D computation as they can circumvent ge…
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation
Hongjie Li, Hongyu Liu, Jun Zou
Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonanc…
Least-Squares Method for Inverse Medium Problems
Kazufumi Ito, Ying Liang, Jun Zou
We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is a…
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…