Reference : Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel c...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/12115
Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
English
Natarajan, S. [GE-India Technology Center, Bangalore-560066, India]
Bordas, Stéphane mailto [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]
2009
International Journal for Numerical Methods in Engineering
80
1
103-134
Yes (verified by ORBilu)
International
00295981
[en] Conformal mapping ; Discontinuities ; Finite element method ; Integration rule ; Natural element method ; Numerical integration ; Polygonal finite element ; Quadrature ; Schwarz-Christoffel mapping ; Wachspress shape functions ; XFEM ; Disks (structural components) ; Function evaluation ; Integration
[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.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/12115
10.1002/nme.2589

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