The Convergence Rate and Necessary-and-Sufficient Condition for the Consistency of Isogeometric Collocation Method
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2016
- DOI:
- 10.48550/arXiv.1607.05807
- arXiv:
- arXiv:1607.05807
- Bibcode:
- 2016arXiv160705807L
- Keywords:
-
- Mathematics - Numerical Analysis;
- 65D07
- E-Print:
- 19 pages, 3 figures