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 Source Problems for the Helmholtz Equation and the Windowed Fourier Transform
- MathematicsSIAM J. Sci. Comput.
This paper considers the inverse source problem for time-harmonic acoustic or electromagnetic wave propagation in the two-dimensional free space and sets up a filtered backprojection algorithm to recover information on the unknown source term from a single far field measurement.
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.
Identifying multipolar acoustic sources by the direct sampling method
- MathematicsApplicable Analysis
ABSTRACT This paper concerns the direct sampling method for solving the inverse problem of identifying point sources for the Helmholtz equation from far-field data. We develop some novel indicator…
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.
Time-reversal algorithms in viscoelastic media†
- MathematicsEuropean Journal of Applied Mathematics
In this paper we consider the problem of reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements. We first present a modified time-reversal imaging algorithm based on…
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…