78 citations · 215 across the 52 of their papers we have counts for
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Full waveform inversion using extended and simultaneous sources
Sagi Buchatsky, Eran Treister
PDE-constrained optimization problems are often treated using the reduced formulation where the PDE constraints are eliminated. This approach is known to be more computationally fe…
A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations
Eran Treister, Rachel Yovel
In this work we extend the shifted Laplacian approach to the elastic Helmholtz equation. The shifted Laplacian multigrid method is a common preconditioning approach for the discret…
A multigrid solver to the Helmholtz equation with a point source based on travel time and amplitude
Eran Treister, Eldad Haber
The Helmholtz equation arises when modeling wave propagation in the frequency domain. The equation is discretized as an indefinite linear system, which is difficult to solve at hig…
A fast marching algorithm for the factored eikonal equation
Eran Treister, Eldad Haber
The eikonal equation is instrumental in many applications in several fields ranging from computer vision to geoscience. This equation can be efficiently solved using the iterative…
Full waveform inversion guided by travel time tomography
Eran Treister, Eldad Haber
Full waveform inversion (FWI) is a process in which seismic numerical simulations are fit to observed data by changing the wave velocity model of the medium under investigation. Th…