Low Rank Methods of Approximation in an Electromagnetic Problem
- Authors: Aparinov A.A.1, Setukha A.V.2, Stavtsev S.L.3
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Affiliations:
- Central Aerohydrodynamic Institute (TsAGI)
- Lomonosov Moscow State University
- Marchuk Institute of Numerical Mathematics
- Issue: Vol 40, No 11 (2019)
- Pages: 1771-1780
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206045
- DOI: https://doi.org/10.1134/S1995080219110064
- ID: 206045
Cite item
Abstract
In this article authors present a new method to construct low-rank approximations of dense huge-size matrices. The method develops mosaic-skeleton method and belongs to kernel-independent methods. In distinction from a mosaic-skeleton method, the new one utilizes the hierarchical structure of matrix not only to define matrix block structure but also to calculate factors of low-rank matrix representation. The new method was applied to numerical calculation of boundary integral equations that appear from 3D problem of scattering monochromatic electromagnetic wave by ideal-conducting bodies. The solution of model problem is presented as an example of method evaluation.
About the authors
A. A. Aparinov
Central Aerohydrodynamic Institute (TsAGI)
Author for correspondence.
Email: andrey.aparinov@gmail.com
Russian Federation, Zhukovsky, Moscow oblast, 140180
A. V. Setukha
Lomonosov Moscow State University
Author for correspondence.
Email: setuhaav@rambler.ru
Russian Federation, Moscow, 119991
S. L. Stavtsev
Marchuk Institute of Numerical Mathematics
Author for correspondence.
Email: sstass2000@mail.ru
Russian Federation, Moscow, 119333