Abstract :
[en] This paper presents a new numerical integration technique on arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using Schwarz-Christoffel mapping and a midpoint quadrature rule defined on this unit disk is used. This method eliminates the need for a two-level isoparametric mapping usually required. Moreover, the positivity of the Jacobian is guaranteed. Numerical results presented for a few benchmark problems in the context of polygonal finite elements show that the proposed method yields accurate results. © 2009 John Wiley & Sons, Ltd.
Natarajan, S.; GE-India Technology Center, Bangalore-560066, India
Bordas, Stéphane ;
University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit Roy mahapatra, D.; Department of Aerospace Engineering, Indian Institute of Science, Bangalore-560012, India
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