4 papers
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…
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…
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…