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

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. Bec...

Full description

Saved in:
Bibliographic Details
Main Authors: Lianfeng Ma, Zaiping Nie, Jun Hu, Shiquan He
Format: Conference Proceeding
Language:English
Subjects:
Acceleration
block LDL T factorization
Electromagnetic scattering
Gaussian processes
Helium
high-order hierarchical basis
Integral equations
Iterative methods
local adaptive cross approximation
low-rank approximation
Matrix decomposition
Moment methods
Partial response channels
Symmetric matrices
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2165-4727
2165-4743
DOI:10.1109/APMC.2009.5385327