Although isogeometric analysis exploits smooth B-spline and NURBS basis functions for the definition of discrete function spaces as well as for the geometry representation, the global smoothness in so-called multipatch parametrizations is an issue. Especially, if strong C1 regularity is required, the introduction of function spaces with good convergence properties is not straightforward. However, in 2D there is the special class of analysis-suitable G1 (AS-G1) parametrizations that are suitable for patch coupling. In this contribution we show that the concept of scaled boundary isogeometric analysis fits to the AS-G1 idea and the former is appropriate to define C1-smooth basis functions. The proposed method is applied to Kirchhoff plates and its capability is demonstrated utilizing several numerical examples. Its applicability to non-trivial and trimmed shapes is demonstrated.

翻译：尽管等几何分析利用光滑的B样条和NURBS基函数来定义离散函数空间及几何表示，但在所谓的多片参数化中，全局光滑性仍是一个问题。特别是，当需要强C1正则性时，引入具有良好收敛性的函数空间并不直接。然而，在二维情形下，存在一类特殊的分析适用G1（AS-G1）参数化方法，适用于片状耦合。本文表明，标量边界等几何分析的概念与AS-G1思想相契合，且前者适用于定义C1光滑基函数。将所提方法应用于Kirchhoff板，并通过多个数值算例验证其能力。此外，还证明了该方法在非平凡及裁剪形状上的适用性。