向建立｜三峡大学｜学者主页

期刊论文

2026

Monotonicity-Based Regularization of Inverse Medium Scattering for Shape Reconstruction

Roland Griesmaier, Bastian Harrach, Jianli Xiang

SIAM Journal on Imaging Sciences

DOI

2026

The monotonicity method for the inverse elastic scattering on unbounded domains

Bastian Harrach, Jianli Xiang

Journal of Differential Equations

DOI

2025

Absence of the analytic continuation of elastic transmission eigenfunctions at rectangular corners

Jianli Xiang, G. Hu

Inverse Problems

DOI

2025

Uniqueness in determining a convex polygonal source of an elastic body

Jianli Xiang

Proceedings of the American Mathematical Society

DOI

2025

Modified transmission eigenvalues for inverse fluid-solid interaction scattering

Jianli Xiang, G. Z. Yan

Applicable Analysis

DOI

2024

Modified linear sampling method for inverse scattering by a partially coated dielectric

Jianli Xiang, Guozheng Yan

Journal of Inverse and Ill-Posed Problems

DOI

2023

The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary

Jianli Xiang, Guozheng Yan

Acta Mathematica Scientia

DOI

2023

Uniqueness in determining rectangular grating profiles with a single incoming wave (part II): TM polarization case

Jianli Xiang, Guanghui Hu

Inverse Problems

DOI

2023

Uniqueness in determining rectangular grating profiles with a single incoming wave (Part I): TE polarization case

Jianli Xiang, Guanghui Hu

Inverse Problems

DOI

2023

Uniqueness of refractive indices and transmission coefficients by an inhomogeneous medium in acoustic scattering

Jianli Xiang, Guozheng Yan

IMA Journal of Applied Mathematics

DOI

2022

Uniqueness of Inverse Transmission Scattering with a Conductive Boundary Condition by Phaseless Far Field Pattern

Jianli Xiang, Guozheng Yan

Acta Mathematica Scientia

DOI

2022

The factorization method for a mixed inverse elastic scattering problem

Jianli Xiang, Guozheng Yan

IMA Journal of Applied Mathematics

DOI

2021

几类复杂混合逆散射问题分解方法的理论分析与数值实现

向建立

《华中师范大学》

2021

UNIQUENESS OF THE INVERSE TRANSMISSION SCATTERING WITH A CONDUCTIVE BOUNDARY CONDITION

向建立，严国政

Acta Mathematica Scientia

2021

The uniqueness of the inverse transmission problem with phaseless far field data at a fixed frequency

Jianli Xiang, Guozheng Yan

Journal of Mathematical Analysis and Applications

DOI

2021

The factorization method for inhomogeneous medium with an impenetrable obstacle

Jianli Xiang, Guozheng Yan

Computational and Applied Mathematics

DOI

2021

The factorization method for the scattering by a mixed inhomogeneous medium

Jianli Xiang, Guozheng Yan

IMA Journal of Applied Mathematics

DOI

2020

积分方程方法在层状散射问题中的应用研究

邓霞，向建立，叶建国

《应用数学》

DOI

预印本

2026

Limiting absorption principle for time-harmonic elastic scattering of plane waves from diffraction gratings

Jianli Xiang, Guanghui Hu

arXiv (Cornell University)

DOI

2025

On the Scattering of Electromagnetic Wave by a Chiral Scatterer

Jun Guo, Xiwen Wang, Jianli Xiang

SSRN Electronic Journal

DOI

2024

Uniqueness to inverse acoustic and elastic medium scattering problems with hyper-singular source method

Chun Liu, Guanghui Hu, Jianli Xiang, Jiayi Zhang

arXiv (Cornell University)

DOI

2021

Uniqueness in determining binary grating profiles and refractive indices with a single incoming wave

Jianli Xiang, Guanghui Hu

arXiv (Cornell University)

DOI

向建立

精选作品

期刊论文

Monotonicity-Based Regularization of Inverse Medium Scattering for Shape Reconstruction

The monotonicity method for the inverse elastic scattering on unbounded domains

Absence of the analytic continuation of elastic transmission eigenfunctions at rectangular corners

Uniqueness in determining a convex polygonal source of an elastic body

Modified transmission eigenvalues for inverse fluid-solid interaction scattering

Modified linear sampling method for inverse scattering by a partially coated dielectric

The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary

Uniqueness in determining rectangular grating profiles with a single incoming wave (part II): TM polarization case

Uniqueness in determining rectangular grating profiles with a single incoming wave (Part I): TE polarization case

Uniqueness of refractive indices and transmission coefficients by an inhomogeneous medium in acoustic scattering

Uniqueness of Inverse Transmission Scattering with a Conductive Boundary Condition by Phaseless Far Field Pattern

The factorization method for a mixed inverse elastic scattering problem

几类复杂混合逆散射问题分解方法的理论分析与数值实现

UNIQUENESS OF THE INVERSE TRANSMISSION SCATTERING WITH A CONDUCTIVE BOUNDARY CONDITION

The uniqueness of the inverse transmission problem with phaseless far field data at a fixed frequency

The factorization method for inhomogeneous medium with an impenetrable obstacle

The factorization method for the scattering by a mixed inhomogeneous medium

积分方程方法在层状散射问题中的应用研究

预印本

Limiting absorption principle for time-harmonic elastic scattering of plane waves from diffraction gratings

On the Scattering of Electromagnetic Wave by a Chiral Scatterer

Uniqueness to inverse acoustic and elastic medium scattering problems with hyper-singular source method

Uniqueness in determining binary grating profiles and refractive indices with a single incoming wave

研究方向