| Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping |
| English |
| 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] |
| 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 |
