The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-06-16 DOI:10.1007/s11766-022-4587-2

Hong-wei Lin, Yun-yang Xiong, Hui Hu, Jia-cong Yan, Qian-qian Hu

引用次数: 1

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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等距配置法的收敛速度及一致性的充要条件

等几何配置法(IGA-C)由于其简单、高效的特点，在实际应用中得到了成功的应用，但在对IGA-C法进行数值分析的基础上，理论研究成果较少。本文推导了IGA-C方法一致性的收敛速度。此外，根据收敛速率公式，给出了IGA-C方法一致性的充分必要条件。这些结果为IGA-C方法的数值分析提供了理论依据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.