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
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2014.2316293
