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The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method (1607.05807v1)

Published 20 Jul 2016 in math.NA

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

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