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arXiv · 1607.05807

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

Hongwei Lin·Yunyang Xiong·Qianqian Hu
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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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Hongwei Lin, Yunyang Xiong, Qianqian Hu. 2016-07-20. The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method. https://arxiv.org/abs/1607.05807

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