3 citations · 5 across the 7 of their papers we have counts for
9 papers
Dispersion-corrected compact finite difference discretizations for the elastic Helmholtz equation in two and three dimensions
Rachel Yovel, Eli Turkel, Eran Treister
We develop a family of compact, dispersion-corrected marker-and-cell (MAC)-based finite-difference discretizations for the elastic Helmholtz equation. While dispersion correction i…
Asymptotic dispersion correction for the isotropic elastic Helmholtz equation discretized with a MAC scheme
Pierre-Henri Cocquet, Antoine Tonnoir, Rachel Yovel
The numerical simulation of time-harmonic wave propagation in elastic media plays an important role in applications such as geophysics and non-destructive testing. Accurate discret…
Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
Rachel Yovel, Eran Treister
We present a convergent and scalable multigrid solver for high-frequency Helmholtz equations. Standard multigrid methods do not converge for high-frequency Helmholtz problems, and…
Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
Rachel Yovel, Yunhui He, Eran Treister
We present an improved multigrid preconditioner for the acoustic Helmholtz equation with enhanced scalability. Standard multigrid fails to converge for the Helmholtz equation, and…
A SIMPLE-Based Preconditioned Solver for the Direct-Forcing Immersed Boundary Method
Rachel Yovel, Eran Treister, Yuri Feldman
We present a robust and scalable solver for direct-forcing immersed boundary simulations, based on a preconditioned SIMPLE algorithm. The method applies block elimination to the pr…
A block-acoustic preconditioner for the elastic Helmholtz equation
Rachel Yovel, Eran Treister
We present a novel block-preconditioner for the elastic Helmholtz equation, based on a reduction to acoustic Helmholtz equations. Both versions of the Helmholtz equations are chall…
LFA-tuned matrix-free multigrid method for the elastic Helmholtz equation
Rachel Yovel, Eran Treister
We present an efficient matrix-free geometric multigrid method for the elastic Helmholtz equation, and a suitable discretization. Many discretization methods had been considered in…
Strong convexity for harmonic functions on compact symmetric spaces
Gabor Lippner, Dan Mangoubi, Zachary McGuirk +1
Let be a harmonic function defined on a spherical disk. It is shown that is nonnegative for all where is the Laplace-Beltrami operator. This f…
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…