Hierarchical basis preconditioners and their application to the PMWCHT integral equation

J. E.Ortiz Guzman, S. B. Adrian, R. Mitharwal, Y. Beghein, T. F. Eibert, K. Cools, F. P. Andriulli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present an analysis of the application of (general) hierarchical basis preconditioners developed for preconditioning the electric field integral equation (EFIE) to the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) integral equation on simply and multiply-connected geometries. First, we discuss the correct choice of the rescaling factors for the solenoidal and non-solenoidal hierarchical bases. Then we consider the harmonic subspace that appears on multiply-connected domains: it turns out that differently from the combined field integral equation (CFIE), the global loops must not be rescaled in frequency. The numerical results confirm the theoretically predicted results.

Original languageEnglish
Title of host publication2016 10th European Conference on Antennas and Propagation, EuCAP 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9788890701863
DOIs
StatePublished - 31 May 2016
Event10th European Conference on Antennas and Propagation, EuCAP 2016 - Davos, Switzerland
Duration: 10 Apr 201615 Apr 2016

Publication series

Name2016 10th European Conference on Antennas and Propagation, EuCAP 2016

Conference

Conference10th European Conference on Antennas and Propagation, EuCAP 2016
Country/TerritorySwitzerland
CityDavos
Period10/04/1615/04/16

Keywords

  • PMCHWT
  • hierarchical basis
  • integral equation
  • multiresolution
  • preconditioner
  • wavelet

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