Normal directional NURBS arithmetic of conformal PML

Y. J. Zhang, X. H. Zhang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Conformal Perfectly Matched Layer (PML) is a high-efficiency absorbing boundary condition for the finite element analysis of electromagnetic fields. Accurate calculation of normal direction of conformal PML is essential for the geometric modelling of conformal shell elements and constitutive parameters of conformal PML, especially for sophisticated and arbitrary shape scatterers. Consequently, a Non-Uniform Rational B-Splines (NURBS) arithmetic is proposed for describing the conformal surface accurately in this study. Based on the NURBS arithmetic, four weighted average formulas are presented for calculating the common normal direction of adjacent surface elements of conformal shell. Numerical experiments show the availability of NURBS arithmetic and precision of weighted average formulas in the geometrical modelling of conformal PML.

Original languageEnglish
Pages (from-to)904-910
Number of pages7
JournalApplied Computational Electromagnetics Society Journal
Volume29
Issue number11
StatePublished - 1 Nov 2014

Keywords

  • Common normal direction
  • Conformal PML
  • Finite element modeling
  • NURBS arithmetic

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