Low Rank Methods of Approximation in an Electromagnetic Problem
- Autores: Aparinov A.1, Setukha A.2, Stavtsev S.3
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Afiliações:
- Central Aerohydrodynamic Institute (TsAGI)
- Lomonosov Moscow State University
- Marchuk Institute of Numerical Mathematics
- Edição: Volume 40, Nº 11 (2019)
- Páginas: 1771-1780
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206045
- DOI: https://doi.org/10.1134/S1995080219110064
- ID: 206045
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Resumo
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.
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Sobre autores
A. Aparinov
Central Aerohydrodynamic Institute (TsAGI)
Autor responsável pela correspondência
Email: andrey.aparinov@gmail.com
Rússia, Zhukovsky, Moscow oblast, 140180
A. Setukha
Lomonosov Moscow State University
Autor responsável pela correspondência
Email: setuhaav@rambler.ru
Rússia, Moscow, 119991
S. Stavtsev
Marchuk Institute of Numerical Mathematics
Autor responsável pela correspondência
Email: sstass2000@mail.ru
Rússia, Moscow, 119333