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Although the isogeometric collocation (IGA-C) method has been successfullyutilized in practical applications due to its simplicity and efficiency, only alittle theoretical results have been established on the numerical analysis ofthe IGA-C method. In this paper, we deduce the convergence rate of theconsistency of the IGA-C method. Moreover, based on the formula of theconvergence rate, the necessary and sufficient condition for the consistency ofthe IGA-C method is developed. These results advance the numerical analysis ofthe IGA-C method.

The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method