activity
20172022
most citedFast acoustic source imaging using multi-frequency sparse data

10 citations · 29 across the 13 of their papers we have counts for

collaborators

19 papers

math.NA20221 cited

Deterministic-Statistical Approach for an Inverse Acoustic Source Problem using Multiple Frequency Limited Aperture Data

Yanfang Liu, Zhizhang Wu, Jiguang Sun +1

We propose a deterministic-statistical method for an inverse source problem using multiple frequency limited aperture far field data. The direct sampling method is used to obtain a…

math.NA20212 cited

FE-Holomorphic Operator Function Method for Nonlinear Plate Vibrations with Elastically Added Masses

Xiangying Pang, Jiguang Sun, Zhimin Zhang

Vibrations of structures subjected to concentrated point loads have many applications in mechanical engineering. Experiments are expensive and numerical methods are often used for…

math.ST2021

Local estimators and Bayesian inverse problems with non-unique solutions

Jiguang Sun

The Bayesian approach is effective for inverse problems. The posterior density distribution provides useful information of the unknowns. However, for problems with non-unique solut…

math.NA2021

A deterministic-statistical approach to reconstruct moving sources using sparse partial data

Yanfang Liu, Yukun Guo, Jiguang Sun

We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first step, an approximate direct sa…

math.NA2020

An extended sampling-ensemble Kalman filter approach for partial data inverse elastic problems

Zhaoxing Li, Jiguang Sun, Liwei Xu

Inverse problems are more challenging when only partial data are available in general. In this paper, we propose a two-step approach combining the extended sampling method and the…

math.NA20201 cited

A Novel Computational Method for Band Structures of Dispersive Photonic Crystals

Wenqiang Xao, Jiguang Sun

We propose a new method to compute band structures of dispersive photonic crystals. It can treat arbitrarily frequency-dependent, lossy or lossless materials. The band structure pr…