High-frequency Helmholtz
High-frequency Helmholtz
Publications
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation
We present the first fast solver for the high-frequency Helmholtz equation that scales optimally in parallel, for a single right-hand …
L-Sweeps 2D: Scalable Parallel Helmholtz Solver
Public release of code for the 2D experiments in the L-Sweeps paper.
The authors thank Total E&P Research and Technology USA for …
L-Sweeps Experimental Models and Configurations
Public release of model and configuration data for the 2D experiments in the L-Sweeps paper.
The authors thank Total E&P Research …
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
The recently developed Hierarchical Poincaré-Steklov (HPS) method is a high-order discretization technique that comes with a direct …
The method of polarized traces for the 3D Helmholtz equation
We present a faster solver for the 3D Helmholtz equation at high frequencies, including derivations of the preconditioner, and analysis …
Pollution-free and fast hybridizable discontinuous Galerkin solvers for the high-frequency Helmholtz equation
In this work we propose a hybridizable discontinuous Galerkin (hdG) discretization of the high-frequency Helmholtz equation in the …
A short note on a pipelined polarized-trace algorithm for 3D Helmholtz
We present a fast solver for the 3D high-frequency Helmholtz equation in heterogeneous, constant density, acoustic media. The solver is …
Preconditioning the 2D Helmholtz equation with polarized traces
We present a domain decomposition solver for the 2D Helmholtz equation, with a special choice of integral transmission condition that …
Time-stepping beyond CFL: A locally one-dimensional scheme for acoustic wave propagation
In this abstract, we present a case study in the application of a time-stepping method, unconstrained by the CFL condition, for …
Talks
Fast and Scalable Solvers for High-frequency Wave Propagation
In this talk, I will review recent progress on fast solvers for the high-frequency Helmholtz equation. The problem is harder than in …
