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

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• 作者：Mario Kapl^a ; ^{mario.kapl@ricam.oeaw.ac.at} ; Vito Vitrih^b ; ^c ; ^d ; ^{vito.vitrih@upr.si}
• 关键词：Isogeometric analysis ; Geometric continuity ; Geometrically continuous isogeometric functions ; Triharmonic equation ; Second order continuity
• 刊名：Computers & Mathematics with Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：73
• 期：1
• 页码：37-59
• 全文大小：3013 K
• 卷排序：73

文摘

The space of C2C2-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 C2C2-smooth geometrically continuous isogeometric functions on such domains is presented. In addition, C2C2-smooth isogeometric functions are constructed to be used for performing L2L2-approximation and for solving triharmonic equation on different two-patch geometries. The numerical results indicate optimal approximation order.