Multilevel approximation of boundary integral operators

By Klaus Gibermann. 2001

51 citations recorded by the source corpus.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5488f3e06cc4cf3a050e9f604d8c08cfa5590e51

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Wolfgang Hackbusch
2. Lars Grasedyck
3. Steffen Börm
4. I. Benedetti
5. M. H. Aliabadi
6. G. Davì

In Atomic and Molecular Physics, and Optics

1. Lars Grasedyck
2. Wolfgang Hackbusch
3. Steffen Börm
4. I. Benedetti
5. M. H. Aliabadi
6. G. Davì
7. Boris N. Khoromskij
8. Joel A. Tropp

In Mathematical Physics

1. Wolfgang Hackbusch
2. Lars Grasedyck
3. Steffen Börm
4. I. Benedetti
5. M. H. Aliabadi
6. G. Davì

Citations in the corpus

• Introduction to Hierarchical Matrices with Applications (2003, methodology): “While the former paper applies the Taylor expansion to approximate the kernel function, our presentation will be based on the interpolation approaches described in [8, 5].”
• A fast 3D dual boundary element method based on hierarchical matrices (2008, methodology): “It is similar to the one introduced by Giebermann (2001) and used in Grasedyck (2005) and is aimed at generating a geometrically balanced cluster tree, after the initial subdivision between boundary nodes, displacement crack nodes and traction crack nodes.”