Open AccessExact conic section arc elements in 2D and 2.5D FEM using a coordinate transformation
Author(s) -
Codecasa Lorenzo,
Gentili Gian Guido,
Khosronejad Misagh,
Pelosi Giuseppe,
Selleri Stefano
Publication year - 2021
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/mia2.12107
Subject(s) - conic section , finite element method , coordinate system , section (typography) , geometry , arc (geometry) , transformation (genetics) , elliptic coordinate system , enhanced data rates for gsm evolution , boundary (topology) , mathematics , mathematical analysis , structural engineering , computer science , engineering , telecommunications , biochemistry , chemistry , gene , operating system
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.