Jun 26, 2015 · Specifically, there is often a set of modes that is not damped by the shifted Laplacian preconditioner. These components are close to the null- ...
Jun 26, 2015 · Discrete representations of the Helmholtz operator generally give rise to extremely difficult linear systems from an iterative solver ...
Augmented the shifted Laplacian with a GMRES coarse solve can give large run time improvements, but …. - must not over solve GMRES coarse problem. - not always ...
This paper proposes augmenting the algebraic multigrid shifted Laplacian with a two‐grid error correction step and results indicate that augmentation can ...
Discrete representations of the Helmholtz operator generally give rise to extremely difficult linear systems from an iterative solver perspective.
Apr 1, 2014 · Augmented AMG-shifted laplacian preconditioners for indefinite helmholtz problems.. United States: N. p., 2014. Web. doi:10.1002/nla.1997.
The use of shifted Laplacians has become a popular method for preconditioning linear systems coming from the discretization of time-harmonic wave equations.
In this paper, an iterative solution method for a fourth-order accurate discretization of the Helmholtz equation is presented.
In this paper we present a comprehensive spectral analysis of the Helmholtz operator preconditioned with a shifted Laplacian.
A shifted Laplacian operator is obtained from the Helmholtz operator by adding a complex damping. It serves as a basic tool in the most successful multigrid.
Missing: Augmented AMG-