On a class of preconditioners for solving the Helmholtz equation

By Yogi A. Erlangga, Cornelis Vuik, Cornelis W. Oosterlee. 2004

317 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e25e9fec93f323be65769d165323608dc24de863

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

1. L. Thompson
2. Yogi A. Erlangga
3. Oliver G. Ernst
4. Martin J. Gander

In Computational Theory and Mathematics

1. L. Thompson
2. Yogi A. Erlangga
3. Oliver G. Ernst
4. Martin J. Gander

In Mechanics of Materials

1. L. Thompson
2. Yogi A. Erlangga
3. Stephen Kirkup

Citations in the corpus

• Advances in Iterative Methods and Preconditioners for the Helmholtz Equation (2008, background): “By evaluating (63) [41], it can be concluded that κ2 is minimal if β1 = 0 and β2 =±1.”
• A review of finite-element methods for time-harmonic acoustics (2006, methodology): “A similar idea is used in [57] with a Shifted-Laplace preconditioner built on the modified Helmholtz equation which is a generalization of the preconditioners introduced in [18].”