Fast evaluation of singular BEM integrals based on tensor approximations
By Jonas Ballani. 2012
13 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Computational Mathematics, Mechanics of Materials
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
- Reinhold Schneider
- Boris N. Khoromskij
- André Uschmajew
- Stefan A. Sauter
- Alexander Veit
- Wolfgang Hackbusch
- Venera Khoromskaia
- Ivan V. Oseledets
In Computational Mathematics
- André Uschmajew
- Reinhold Schneider
- Boris N. Khoromskij
- Stefan A. Sauter
- Alexander Veit
- Christine Tobler
- Ivan V. Oseledets
- Jonas Ballani
In Mechanics of Materials
- Reinhold Schneider
- André Uschmajew
- Stefan A. Sauter
- Boris N. Khoromskij
- Alexander Veit
- Ivan V. Oseledets
Citations in the corpus
- A literature survey of low‐rank tensor approximation techniques (2013, neutral): “In this case, it can be advantageous to subdivide the domain and approximate f on each subdomain separately with a low-rank tensor decomposition, see [11, 14, 15] for examples.”
- Fast Evaluation of Near-Field Boundary Integralsusing Tensor Approximations (2012, background): “Wir können jedoch auf viele positive Erfahrungen verweisen, die sich unter anderem auf die numerischen Ergebnisse aus [2, 1] stützen.”
- Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation (2011, methodology): “Notice that the hierarchical Tucker format was recently applied in the same spirit to computation of certain multivariate integrals arising in boundary element methods [1].”
- Approximation rates for the hierarchical tensor format in periodic Sobolev spaces (2014, methodology): “In [4] efficient tensor approximation is used for the fast evaluation of singular integrals appearing in the Galerkin discretization of boundary integral equations.”