Fast direct solution of high-order MoM accelerated by local ACA

Author

Ma, Lianfeng ; Nie, Zaiping ; Hu, Jun ; He, Shiquan

Author_Institution

Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2009

fDate

7-10 Dec. 2009

Firstpage

80

Lastpage

83

Abstract

In this paper, the local adaptive cross approximation based on the compressed LDL^T factorization is proposed to directly solve the matrix equation obtained by high-order hierarchical MoM. By means of the local ACA algorithm, high accurate result with much higher compressed rate can be achieved. Because of using the hierarchical high-order basis functions (BFs), the number of the unknowns is rapidly reduced. We extensively investigate the compressed LDL^T factorization on the use of Local ACA algorithm, and provide remedial procedures to improve the efficiency of the implementations.

Keywords

approximation theory; electromagnetic wave scattering; matrix algebra; method of moments; LDL^T factorization; hierarchical high-order basis functions; high-order hierarchical MoM; local ACA; local adaptive cross approximation; matrix equation; Acceleration; Electromagnetic scattering; Gaussian processes; Helium; Integral equations; Iterative methods; Matrix decomposition; Moment methods; Partial response channels; Symmetric matrices; block LDL^T factorization; high-order hierarchical basis; local adaptive cross approximation; low-rank approximation;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2009. APMC 2009. Asia Pacific

Conference_Location

Singapore

Print_ISBN

978-1-4244-2801-4

Electronic_ISBN

978-1-4244-2802-1

Type

conf

DOI

10.1109/APMC.2009.5385327

Filename

5385327