Showing papers by "Sundararajan Natarajan published in 2009"
••
TL;DR: Numerical results presented for a few benchmark problems in the context of polygonal finite elements show that the proposed method yields accurate results.
Abstract: This paper presents a new numerical integration technique oil arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using Schwarz-Christoffel mapping and a midpoint quadrature rule defined oil 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.
186 citations
01 Jan 2009
3 citations