Reference : A novel numerical integration technique over arbitrary polygons
Scientific congresses, symposiums and conference proceedings : Unpublished conference
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
A novel numerical integration technique over arbitrary polygons
Natarajan, Sundararajan []
Mahapatra, D Roy []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Guo, Zaoyang []
17th. UK Conference on Computational Mechanics (ACME-UK)
6-8 April 2009
[en] Conformal mapping ; Polygonal finite element method ; Numerical integration ; isoparametric mapping
[en] In this paper, a new numerical integration technique [1] on arbitrary polygons is presented. The polygonal do- main is mapped conformally to the unit disk using Schwarz-Christoffel mapping [2] and a midpoint quadrature rule defined on the unit circle is used. This method eliminates the need for a two level isoparametric mapping usuall required [3]. Moreover the positivity of the Jacobian is guaranteed. We present numerical results for a few benchmark problems in the context of polygonal finite elements that show the effectiveness of the method.
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