A comparison of accuracy and computational efficiency between the Finite Element Method and the Isogeometric Analysis for two-dimensional Poisson Problems

Abstract

For small error the isogeometric analysis is more efficient than the finite element method. The condition number is lower in the isogeometric analysis than the finite element method. The isogeometric analysis produce general and robust implementation methods. The isogeometric analysis basis has higher continuity than the finite element method basis, and is more suitable to represent different geometries.