Low Rank Methods of Approximation in an Electromagnetic Problem

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...

Full description

Saved in:
Bibliographic Details
Published in:Lobachevskii journal of mathematics 2019-11, Vol.40 (11), p.1771-1780
Main Authors: Aparinov, A. A., Setukha, A. V., Stavtsev, S. L.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Approximation
Boundary integral method
Electromagnetic radiation
Geometry
Integral equations
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Matrix representation
Probability Theory and Stochastic Processes
Structural hierarchy
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219110064