Optimal Numerical Integration Schemes for a Family of Polygonal Finite Elements with Schwarz–Christoffel Conformal Mapping

This paper presents optimal numerical integration schemes for a family of Polygonal Finite Elements with Schwarz–Christoffel (SC) conformal mapping with improved convergence properties. With Wachspress interpolation, the arbitrary polygons of a finite element mesh are first mapped to regular polygons using isoparametric mapping and then to the unit-disk using SC mapping. Numerical integration is done over this unit-disk by determining...