6 citations · 15 across the 8 of their papers we have counts for
10 papers · 1 filter
A novel sampling method for reconstruction of a moving point acoustic source in
Guanqiu Ma, Shuang Li, Hongxia Guo
In this paper, we introduce a novel sampling method to recovering the trajectory of a moving point source in R^3, where both the spatial location and emission moment of the moving…
A frequency-domain method to inverse moving source problem with unknown radiating moment
Guanqiu Ma, Hongxia Guo, Guanghui Hu
This paper introduces a multi-frequency factorization method for imaging a time-dependent source, specifically to recover its spatial support and the associated excitation instants…
DDC-PINNs: A Predictor-Corrector Approach Based on Neural Network-Driven Domain Decomposition and Classical ODE Solvers for Time-Dependent PDEs
Xun Yang, Guanqiu Ma, Maohua Ran
When solving time-dependent partial differential equations (PDEs), traditional physics-informed neural networks (PINNs) may encounter several challenges. In particular, standard PI…
Imaging a moving point source in R^3 from the time of arrival at sparse observation points
Guanqiu Ma, Haonan Zhang, Hongxia Guo
In this paper, we introduce a novel numerical method for reconstructing the trajectory within three-dimensional space, where both the emission moment and spatial location of the po…
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…
Inverse wave-number-dependent source problems for the Helmholtz equation with partial information on radiating period
Hongxia Guo, Guanghui Hu, Guanqiu Ma
This paper addresses a factorization method for imaging the support of a wave-number-dependent source function from multi-frequency data measured at a finite pair of symmetric rece…
Imaging a moving point source from multi-frequency data measured at one and sparse observation points (part II): near-field case in 3D
Guanqiu Ma, Hongxia Guo, Guanghui Hu
In this paper, we introduce a frequency-domain approach to extract information on the trajectory of a moving point source. The method hinges on the analysis of multi-frequency near…
Imaging a moving point source from multi-frequency data measured at one and sparse observation directions (part I): far-field case
Hongxia Guo, Guanghui Hu, Guanqiu Ma
We propose a multi-frequency algorithm for imaging the trajectory of a moving point source from one and sparse far-field observation directions in the frequency domain. The startin…
Factorization method for inverse time-harmonic elastic scattering with a single plane wave
Guanqiu Ma, Guanghui Hu
This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach a…
Factorization method with one plane wave: from model-driven and data-driven perspectives
Guanqiu Ma, Guanghui Hu
The factorization method by Kirsch (1998) provides a necessary and sufficient condition for characterizing the shape and position of an unknown scatterer by using far-field pattern…