Multi-level fast multipole solution of the scattering problem

By S. Amini, A. Profit. 2003

61 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/a2443c677ffdd3d3b02ffcb067145fa5083a0d03

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. Lehel Banjai
2. Wolfgang Hackbusch
3. Boris N. Khoromskij
4. Lars Grasedyck
5. David J. Biagioni

In Electrical and Electronic Engineering

1. Lehel Banjai
2. Wolfgang Hackbusch
3. Lars Grasedyck
4. David J. Biagioni
5. Francisco-Javier Sayas

Citations in the corpus

• Hierarchical matrix techniques for low- and high-frequency Helmholtz problems (2007, methodology): “Initially one or two level versions were recommended which gave O(n3/2) or O(n4/3) algorithms [40, 41], but recently multilevel implementations were reported on, both in 2D and 3D, with complexity O(nloga n) for some small constant a (see [ 4 , 19, 37]).”
• The discrete dipole approximation: an overview and recent developments (2007, unknown): “Application of the FMM to surface-integrals formulation of light scattering was reviewed by Dembart and Yip [132].”