## 2 Citations

### Recovering source location, polarization, and shape of obstacle from elastic scattering data

- MathematicsArXiv
- 2023

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-ﬁeld measurements. A two-phase numerical method is proposed…

### A parallel domain decomposition algorithm for fluid-structure interaction simulations of the left ventricle with patient-specific shape

- Computer ScienceElectronic Research Archive
- 2022

A scalable parallel algorithm for simulating the cardiac fluid-structure interactions of a patient-specific human left ventricle provides an efficient forward solver to deal with the induced sub-problems in solving an inverse problem that can be used to quantify the interested parameters.

## References

SHOWING 1-10 OF 42 REFERENCES

### Solving the multi-frequency electromagnetic inverse source problem by the Fourier method

- MathematicsJournal of Differential Equations
- 2018

### Fourier method for solving the multi-frequency inverse source problem for the Helmholtz equation

- Mathematics
- 2015

We consider an inverse source problem for the Helmholtz equation. This is concerned with the reconstruction of an unknown source from multi-frequency data obtained from the radiated fields. Based on…

### Fourier method for recovering acoustic sources from multi-frequency far-field data

- Mathematics
- 2017

We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel…

### Inverse dipole source problem for time-harmonic Maxwell equations: algebraic algorithm and Hölder stability

- Mathematics
- 2012

In this paper, we investigate an inverse source problem of the time harmonic Maxwell equations at a fixed frequency, where the source consists of multiple point dipoles. An algebraic algorithm is…

### Inverse Random Source Scattering for Elastic Waves

- MathematicsSIAM J. Numer. Anal.
- 2017

The regularized block Kaczmarz method is developed to solve the ill-posed integral equations of the first kind and the convergence is proved for the method.

### Source Estimation by Full Wave Form Inversion

- GeologyJ. Sci. Comput.
- 2014

This work considers the inverse problem of estimating the parameters describing the source in a seismic event, using time-dependent ground motion recordings at a number of receiver stations, and compares four different gradient-based approaches for solving the constrained minimization problem.

### The inverse source problem for Maxwell's equations

- Mathematics
- 2006

The inverse source problem for Maxwell's equations is considered. We show that the problem of finding a volume current density from surface measurements does not have a unique solution, and…

### Inverse source identification for Poisson equation

- Mathematics
- 2005

A numerical method for identifying the unknown point sources for a two-dimensional Poisson problem from Dirichlet boundary data is proposed. Under an assumption that the total number and estimate…

### Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform II

- MathematicsSIAM J. Sci. Comput.
- 2013

The theoretical foundation of the method is provided, a numerical implementation of the fully three-dimensional algorithm is discussed, and a series of numerical examples, including an inverse scattering problem, are presented.

### Fast acoustic source imaging using multi-frequency sparse data

- MathematicsInverse Problems
- 2020

It is proved that some information of the source support can be recovered and a non-iterative method is proposed to image the source for the Helmholtz equation using multiple frequency far field data of one or several observation directions.