2 papers
math.NA2026
High-Resolution Solvers for 3D Helmholtz Scattering Problems Using PFFT and Eigenvector-Based Preconditioning
Yury Gryazin, Ron Gonzales, Xiaoye Sherry Li
This paper presents an efficient Krylov subspace iterative solver for the three-dimensional (3D) Helmholtz equation with non-constant coefficients and absorbing boundary conditions…
math.NA2019
Scalable Algorithms for High-Order Approximations on Three-Dimensional Compact Stencils
Ronald Gonzales, Yury Gryazin, Yun Teck Lee
This paper presents an efficient parallel direct algorithm with near-optimal complexity for the compact fourth and sixth-order approximation of the three-dimensional Helmholtz equa…