Recovering source location, polarization, and shape of obstacle from elastic scattering data
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
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.
SHOWING 1-10 OF 42 REFERENCES
Solving the multi-frequency electromagnetic inverse source problem by the Fourier method
- MathematicsJournal of Differential Equations
Fourier method for solving the multi-frequency inverse source problem for the Helmholtz equation
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
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
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.
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.
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
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
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.
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
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.