Space of C2-smooth geometrically continuous isogeometric functions on two-patch geometries

Abstract 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.

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