A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
By Yogi A. Erlangga, Cornelis W. Oosterlee, Cornelis Vuik. SIAM Journal on Scientific Computing, 2005
360 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/4a00ef863d768097a3e0efdedacce22c64a51e05
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Computational Theory and Mathematics
- Achi Brandt
- Dan Kushnir
- Meirav Galun
- René-Edouard Plessix
- Charbel Farhat
- Q. Cao
- Jari Toivanen
- Radek Tezaur
In Electrical and Electronic Engineering
- Radek Tezaur
- Jari Toivanen
- René-Edouard Plessix
- Charbel Farhat
- Q. Cao
- Ted Belytschko
- Thomas-Peter Fries
- Yoel Shkolnisky
Citations in the corpus
- A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers (2009, methodology): “For traditional finite element discretizations, various iterative techniques have been proposed for the solution of such systems, including domain decomposition (DD) methods [7, 10, 11, 15, 19, 24], fictitious domain methods [16, 17], and multigrid methods [1, 2, 5, 6].”
- Efficient Multilevel Eigensolvers with Applications to Data Analysis Tasks (2010, background): “Other approaches tackling indefiniteness are suggested in several multigrid preconditioners for Helmholtz equation, such as [25], [26].”
- A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium (2011, methodology): “D iterative solver as described in Erlangga et al. (2006), Plessix (2007).”