11 citations · 11 across the 1 of their papers we have counts for
7 papers
Complex additive geometric multilevel solvers for Helmholtz equations on spacetrees
Bram Reps, Tobias Weinzierl
We introduce a family of implementations of low order, additive, geometric multilevel solvers for systems of Helmholtz equations. Both grid spacing and arithmetics may comprise com…
A new level-dependent coarsegrid correction scheme for indefinite Helmholtz problems
Siegfried Cools, Bram Reps, Wim Vanroose
In this paper we construct and analyse a level-dependent coarsegrid correction scheme for indefinite Helmholtz problems. This adapted multigrid method is capable of solving the Hel…
An efficient multigrid calculation of the far field map for Helmholtz and Schrödinger equations
Siegfried Cools, Bram Reps, Wim Vanroose
In this paper we present a new highly efficient calculation method for the far field amplitude pattern that arises from scattering problems governed by the d-dimensional Helmholtz…
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…
GMRES-based multigrid for the complex scaled preconditoner for the indefinite Helmholtz equation
Bram Reps, Wim Vanroose, Hisham bin Zubair
Multigrid preconditioners and solvers for the indefinite Helmholtz equation suffer from non-stability of the stationary smoothers due to the indefinite spectrum of the operator. In…
A preconditioned iterative solver for the scattering solutions of the Schrödinger equation
Hisham bin Zubair, Bram Reps, Wim Vanroose
The Schrödinger equation defines the dynamics of quantum particles which has been an area of unabated interest in physics. We demonstrate how simple transformations of the Schrödin…