Conformal mapping; Polygonal finite element method; Numerical integration; isoparametric mapping
Abstract :
[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Natarajan, Sundararajan
Mahapatra, D Roy
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Guo, Zaoyang
Language :
English
Title :
A novel numerical integration technique over arbitrary polygons
Publication date :
April 2009
Event name :
17th. UK Conference on Computational Mechanics (ACME-UK)
