Boundary-Mapping Parametrization in Isogeometric Analysis

Abstract

In isogeometric analysis (IGA), parametrization is an important and difficult issue that greatly influences the numerical accuracy and efficiency of the numerical solution. One of the problems facing the parametrization in IGA is the existence of the singular points in the parametrization domain. To avoid producing singular points, boundary-mapping parametrization is given by mapping the computational domain to a polygon domain which may not be a square domain and mapping each segment of the boundary in computational domain to a corresponding boundary edge of the polygon. Two numerical examples in finite element analysis are presented to show the novel parametrization is efficient.

Keywords

Isogeometric analysis / Finite element analysis / PHT-splines / Parametrization