The Haar wavelets used how expansion function in the method of the moments in the solution of some electrostatic problems

  • Authors:

  • Aldo Artur Belardi;José Roberto Cardoso;Carlos A. França Sartori

  • Affiliations:

  • Electrical Department, Centro Universitário da FEI, São Bernardo do Campo, Brazil;Electrical Department, Escola Politécnica da Universidade de São Paulo, São Paulo, Brazil;Electrical Department, Escola Politécnica da Universidade de São Paulo, São Paulo, Brazil

  • Venue:
  • WSEAS Transactions on Mathematics
  • Year:
  • 2010

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Abstract

This work presents the methodology from the determination the charge superficial density and electrical fields, in three simple structures to a finite straight wire, square plane plates and the capacitance between to plane plate, all finite and submitted to a constant potential. That involves the method of the moments using as expansion function the Haar wavelets instead of the pulse function, in order to reach a good precision and reducing the computational execution time. We also intend to take advantages of the wavelets application through the Cholesky decomposition, talking about formation of scattered matrixes, and the detection of nulls values.