Low Rank Methods of Approximationin an Electromagnetic Problemстатья
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Дата последнего поиска статьи во внешних источниках: 4 мая 2020 г.
Аннотация: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 kernelindependent
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.