Finite Element Concepts and Bezier Extraction in Hierarchical Isogeometric Analysis

Isogeometric analysis is an emerging approach combining computer aided geometric design and numerical analysis. Still local refinement techniques for isogeometric analysis are a major issue. One solution is proposed in Vuong et al. (Comput. Methods Appl. Mech. Eng. 200:3554–3567, 2011) and employs a hierarchical concept. This paper is an extension of this work and will discuss the corresponding element concept and apply the Bezier extraction to illustrate the connection to standard finite elements.