3 papers
math.AP2025
Simultaneously recover two constant coefficients and a polygon with a single pair of Cauchy data for the Helmholtz equation
Xiaoxu Xu, Guanghui Hu
This paper is concerned with an inverse boundary value problem for the Helmholtz equation over a bounded domain. The aim is to reconstruct two constant coefficients together with t…
math.AP2024
An inverse obstacle problem with a single pair of Cauchy data: Laplace's equation case
Xiaoxu Xu, Guanghui Hu
This paper is concerned with an inverse obstacle problem for the Laplace's equation. The aim is to recover the constant conductivity coefficient in the equation and the boundary of…
math.NA2024
Detection of a piecewise linear crack with one incident wave
Xiaoxu Xu, Guanqiu Ma, Guanghui Hu
This paper is concerned with inverse crack scattering problems for time-harmonic acoustic waves. We prove that a piecewise linear crack with the sound-soft boundary condition in tw…