Acceleration of convergence for the higher-order Whitney element FEM analysis of antennas and electromagnetic scattering

Traianos V. Yioultsis, Andreas C Cangellaris

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Abstract

A simple and efficient optimization scheme for second-order Whitney elements using appropriate material-dependent geometric transformations is introduced. A remarkable improvement of convergence is observed, especially when it comes to ill-conditioned linear systems. Such a scheme can be considered a kind of geometric preconditioning that not only provides an optimally-conditioned approximation but is also open to further improvements.

Original languageEnglish (US)
Pages (from-to)698-701
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume4
DOIs
StatePublished - Jan 1 2002

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Linear systems
Scattering
Antennas
Finite element method

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "A simple and efficient optimization scheme for second-order Whitney elements using appropriate material-dependent geometric transformations is introduced. A remarkable improvement of convergence is observed, especially when it comes to ill-conditioned linear systems. Such a scheme can be considered a kind of geometric preconditioning that not only provides an optimally-conditioned approximation but is also open to further improvements.",
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