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Isogeometric finite element data structures based on Bézier extraction of NURBS. (English) Zbl 1242.74097
Summary: We present the B’ezier extraction operator and isogeometric Bézier elements for non-uniform rational B-Spline (NURBS)-based isogeometric analysis. The Bézier extraction operator allows numerical integration of smooth functions to be performed on $$C^{0}$$ Bézier elements. We show how the Bézier extraction operator is computed for NURBS. We then show that the extraction operator and Bézier elements provide an element structure for isogeometric analysis that can be easily incorporated into existing finite element codes, without any changes to element form and assembly algorithms, and standard data processing arrays. All significant changes may be implemented in a shape function subroutine.

##### MSC:
 74S05 Finite element methods applied to problems in solid mechanics 65D17 Computer-aided design (modeling of curves and surfaces)
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