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

Codecasa Lorenzo | Zendy; Gentili Gian Guido | Zendy; Khosronejad Misagh | Zendy; Pelosi Giuseppe | Zendy; Selleri Stefano | Zendy

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Exact 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 , coordinate system , transformation (genetics) , section (typography) , arc (geometry) , finite element method , elliptic coordinate system , geometry , mathematical analysis , mathematics , engineering , computer science , structural engineering , 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.

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