Dimension and basis construction for C2-smooth isogeometric spline spaces over bilinear-like G2 two-patch parameterizations

作者：

Highlights：

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• Introduction of bilinear-like G2 two-patch parameterizations .

• Investigation of the C2 smooth isogeometric space over this specific geometry.

• Computation of dimension of the space.

• Construction of a simple explicitly given and well-conditioned basis of the space.

• Numerical experiments show optimal rates of convergence.

摘要

•Introduction of bilinear-like G2 two-patch parameterizations .•Investigation of the C2 smooth isogeometric space over this specific geometry.•Computation of dimension of the space.•Construction of a simple explicitly given and well-conditioned basis of the space.•Numerical experiments show optimal rates of convergence.

论文关键词：65D17,65N30,68U07,Isogeometric analysis,Geometric continuity,Second order continuity,Two-patch domain,Bilinear-like

论文评审过程：Received 20 July 2017, Revised 31 October 2017, Available online 15 December 2017, Version of Record 1 January 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2017.12.008