3 papers
math.NA2010
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…
math.NA2010
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…
math.NA2009
On the indefinite Helmholtz equation: complex stretched absorbing boundary layers, iterative analysis, and preconditioning
Bram Reps, Wim Vanroose, Hisham bin Zubair
This paper studies and analyzes a preconditioned Krylov solver for Helmholtz problems that are formulated with absorbing boundary layers based on complex coordinate stretching. The…