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Application of Haar’s wavelets in the method of moments to solve electrostatic problems

Aldo Artur Belardi (Centro Universitário de FEI, São Paulo, Brazil)
José Roberto Cardoso (Escola Politécnica, Universidade de São Paulo, São Paulo, Brazil)
Carlos Antonio França Sartori (Escola Politécnica, Universidade de São Paulo, São Paulo, Brazil)

Abstract

Presents the mathematical basis and some results, concerning the application of Haar's wavelets, as an expansion function, in the method of moments to solve electrostatic problems. Two applications regarding the evaluation of linear and surface charge densities were carried out: the first one on a finite straight wire, and the second one on a thin square plate. Some optimization techniques were used, whose main computational performance aspects are emphasized. Presents comparative results related to the use of Haar's wavelets and the conventional expansion functions.

Keywords

Citation

Artur Belardi, A., Roberto Cardoso, J. and França Sartori, C.A. (2004), "Application of Haar’s wavelets in the method of moments to solve electrostatic problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 23 No. 3, pp. 606-612. https://doi.org/10.1108/03321640410540511

Publisher

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Emerald Group Publishing Limited

Copyright © 2004, Emerald Group Publishing Limited