DocumentCode
71006
Title
On the Convergence of the ACA Algorithm for Radiation and Scattering Problems
Author
Heldring, Alex ; Ubeda, Eduard ; Rius, J.M.
Author_Institution
Dept. of Signal Process. & Telecommun., Univ. Politec. de Catalunya, Barcelona, Spain
Volume
62
Issue
7
fYear
2014
fDate
Jul-14
Firstpage
3806
Lastpage
3809
Abstract
The adaptive cross approximation (ACA) algorithm, when used to accelerate the numerical solution of integral equations for radiation and scattering problems, sometimes suffers from inaccuracies. These inaccuracies occur when the ACA convergence criterion, which is based on an approximation of the residual relative error, is prematurely satisfied. This paper identifies the two sources of this problem and proposes adaptations of the algorithm that remedy them.
Keywords
approximation theory; electromagnetic wave scattering; integral equations; ACA algorithm; ACA convergence criterion; adaptive cross approximation algorithm; integral equations; numerical solution; radiation problems; residual relative error; scattering problems; Accuracy; Approximation algorithms; Approximation methods; Convergence; Kernel; Matrix decomposition; Signal processing algorithms; Adaptive cross approximation (ACA); computational electromagnetics; method of moments;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/TAP.2014.2316293
Filename
6785981
Link To Document