Space of C-2-smooth geometrically continuous isogeometric functions on two-patch geometries

作者：Kapl Mario^*; Vitrih Vito

来源：Computers & Mathematics with Applications, 2017, 73(1): 37-59.

DOI：10.1016/j.camwa.2016.10.014

• Isogeometric analysis
• Geometric continuity
• Geometrically continuous isogeometric functions
• Triharmonic equation
• Second order continuity

The space of C-2-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains is considered. The investigation of the dimension of the spaces of biquintic and bisixtic C-2-smooth geometrically continuous isogeometric functions on such domains is presented. In addition, C-2-smooth isogeometric functions are constructed to be used for performing L-2-approximation and for solving triharmonic equation on different two-patch geometries. The numerical results indicate optimal approximation order.

• 出版日期2017-1