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.
@article{arxiv.1607.05807,
title = {The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method},
author = {Hongwei Lin and Yunyang Xiong and Qianqian Hu},
journal= {arXiv preprint arXiv:1607.05807},
year = {2016}
}