IET Microwaves, Antennas & Propagation (Jul 2021)

Exact conic section arc elements in 2D and 2.5D FEM using a coordinate transformation

  • Lorenzo Codecasa,
  • Gian Guido Gentili,
  • Misagh Khosronejad,
  • Giuseppe Pelosi,
  • Stefano Selleri

DOI
https://doi.org/10.1049/mia2.12107
Journal volume & issue
Vol. 15, no. 9
pp. 1108 – 1116

Abstract

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Abstract This study introduces the conic section arc elements in 2D and 2.5D finite element method (FEM). Elements are obtained by deforming an edge in a standard triangular element through a coordinate transformation. This allows to completely eliminate the geometrical error in structures composed of circular, elliptical, hyperbolic and parabolic arcs. The element order is defined independently of the geometrical description of the boundary, allowing the use of simple meshers. Previously available FEM codes can be straightforwardly modified to introduce the conic section boundaries.