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20012021
most citedDirect sampling methods for inverse elastic scattering problems

26 citations · 81 across the 17 of their papers we have counts for

collaborators

17 papers

math.NA2021

A simple low-degree optimal finite element scheme for the elastic transmission eigenvalue problem

Yingxia Xi, Xia Ji, Shuo Zhang

The paper presents a finite element scheme for the elastic transmission eigenvalue problem written as a fourth order eigenvalue problem. The scheme uses piecewise cubic polynomials…

math.AP2020★ 12 cited

Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data

Tilo Arens, Xia Ji, Xiaodong Liu

This paper is dedicated to design a direct sampling method of inverse electromagnetic scattering problems, which uses multi-frequency sparse backscattering far field data for recon…

math.AP2020

Identification of point like objects with multi-frequency sparse data

Xia Ji, Xiaodong Liu

The inverse acoustic scattering of point objects using multi-frequency sparse measurements are studied. The objects may be a sum of point sources or point like scatterers. We show…

math.NA2020

Lowest-degree piecewise polynomial de Rham complex on general quadrilateral grids

Qimeng Quan, Xia Ji, Shuo Zhang

This paper is devoted to the construction of finite elements on grids that consist of general quadrilaterals not limited in parallelograms. Two finite elements defined as Ciarlet's…

math.AP2019★ 1 cited

Inverse electromagnetic source scattering problems with multi-frequency sparse phased and phaseless far field data

Xia Ji, Xiaodong Liu

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for solving inverse electromagnetic source scattering problems with multi-frequency sparse…

math.AP2019★ 2 cited

Inverse acoustic scattering problems with multi-frequency sparse backscattering far field data

Xia Ji, Xiaodong Liu

The inverse acoustic scattering problems using multi-frequency backscattering far field patterns at isolated directions are studied. The underlying object could be point like scatt…