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Stochastic estimation of the Frobenius norm in the ACA convergence criterion
Heldring, Alexander; Úbeda Farré, Eduard; Rius Casals, Juan Manuel
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. ANTENNALAB - Grup d'Antenes i Sistemes Radio
The adaptive cross approximation (ACA) algorithm has been used in many fast Integral Equation solvers for electromagnetic Radiation and Scattering problems. It efficiently computes a low rank approximation to the interaction matrix between mutually distant parts of a scattering object. The ACA is an iterative algorithm that needs an accurate and efficient convergence criterion. The evaluation of this criterion may consume a considerable part of the computational resources. This communication presents an efficient new way to evaluate the convergence criterion, using a stochastic approach.
Peer Reviewed
-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
-Convergencia (Telecommunication)
-Adaptive cross approximation (ACA)
-computational electromagnetics
-method of moments
-ADAPTIVE CROSS APPROXIMATION
-ALGORITHM
-Convergència (Telecomunicació)
Article - Submitted version
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