38 citations · 242 across the 36 of their papers we have counts for
6 papers · 1 filter
Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems
Siegfried Cools, Wim Vanroose
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed…
Improved convergence of scattering calculations in the oscillator representation
Yuriy Bidasyuk, Wim Vanroose
The Schrödinger equation for two and tree-body problems is solved for scattering states in a hybrid representation where solutions are expanded in the eigenstates of the harmonic o…
A Microscopic Cluster Description of 12C
V. S. Vasilevsky, F. Arickx, W. Vanroose +1
We investigate both bound and resonance states in 12C embedded in a three-α-cluster continuum using two distinct three-cluster microscopic models. The first one relies on the Hyper…
Numerical extraction of a macroscopic pde and a lifting operator from a lattice Boltzmann model
Ynte Vanderhoydonc, Wim Vanroose
Lifting operators play an important role in starting a lattice Boltzmann model from a given initial density. The density, a macroscopic variable, needs to be mapped to the distribu…
Analyzing the wave number dependency of the convergence rate of a multigrid preconditioned Krylov method for the Helmholtz equation with an absorbing layer
Bram Reps, Wim Vanroose
This paper analyzes the Krylov convergence rate of a Helmholtz problem preconditioned with Multigrid. The multigrid method is applied to the Helmholtz problem formulated on a compl…
Numerical bifurcation study of superconducting patterns on a square
Nico Schlömer, Daniele Avitabile, Wim Vanroose
This paper considers the extreme type-II Ginzburg-Landau equations that model vortex patterns in superconductors. The nonlinear PDEs are solved using Newton's method, and propertie…