Advances in Iterative Methods and Preconditioners for the Helmholtz Equation

By Yogi A. Erlangga. 2008

194 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/042973392ca5ddad74d372d05b7e38732d97aca5

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. Satya N. Atluri
2. Weichung Yeih
3. Chein-Shan Liu
4. Oliver G. Ernst
5. Martin J. Gander
6. Wen Chen
7. Yan Gu
8. L. Thompson

In Computational Theory and Mathematics

1. Satya N. Atluri
2. Oliver G. Ernst
3. Chein-Shan Liu
4. Weichung Yeih
5. Martin J. Gander
6. Daniel B. Szyld

In Electrical and Electronic Engineering

1. Satya N. Atluri
2. Oliver G. Ernst
3. Weichung Yeih
4. Chein-Shan Liu
5. Martin J. Gander
6. Wen Chen
7. Zhuojia Fu
8. Yan Gu

Citations in the corpus

• On Solving the Ill-Conditioned System Ax=b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales (2009, methodology): “…Erlangga and his coworkers [Erlangga, Vuik and Oosterlee (2004, 2006); Erlangga, Oosterlee and Vuik (2006); van Gijzen, Erlangga and Vuik (2007); Erlangga (2008)] extended the method of the Laplacian preconditioner first advocated by Bayliss, Goldstein and Turkel (1983) for the Helmholtz…”
• Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods (2012, methodology): “The subject of this paper is exclusively th e indefinite Helmholtz equation (1), which is much harder to solve with classical it era ive methods than equation (2), see also the recent review [20].”