149 citations · 390 across the 15 of their papers we have counts for
15 papers
A two-grid method with dispersion matching for finite-element Helmholtz problems
Christiaan C. Stolk
This work is about a new two-level solver for Helmholtz equations discretized by finite elements. The method is inspired by two-grid methods for finite-difference Helmholtz problem…
A time-domain preconditioner for the Helmholtz equation
Christiaan C. Stolk
Time-harmonic solutions to the wave equation can be computed in the frequency or in the time domain. In the frequency domain, one solves a discretized Helmholtz equation, while in…
Understanding the combined effect of -space undersampling and transient states excitation in MR Fingerprinting reconstructions
Christiaan C. Stolk, Alessandro Sbrizzi
Magnetic resonance fingerprinting (MRF) is able to estimate multiple quantitative tissue parameters from a relatively short acquisition. The main characteristic of an MRF sequence…
A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory
Christiaan C. Stolk
We develop a new dispersion minimizing compact finite difference scheme for the Helmholtz equation in 2 and 3 dimensions. The scheme is based on a newly developed ray theory for di…
An improved sweeping domain decomposition preconditioner for the Helmholtz equation
Christiaan C. Stolk
In this paper we generalize and improve a recently developed domain decomposition preconditioner for the iterative solution of discretized Helmholtz equations. We introduce an impr…
A multigrid method for the Helmholtz equation with optimized coarse grid corrections
Christiaan C. Stolk, Mostak Ahmed, Samir K. Bhowmik
We study the convergence of multigrid schemes for the Helmholtz equation, focusing in particular on the choice of the coarse scale operators. Let G_c denote the number of points pe…