期刊论文

Liu, Xiao-Yan

英文

Mathematics and Computers in Simulation

0378-4754

2020

177

487-499

10.1016/j.matcom.2020.05.006

The third author acknowledges the support of the National Natural Science Foundation of China (Grant No. 11771321 ). The fourth author thanks for the support of Hunan Provincial Natural Science Foundation of China (Grant No. 2018JJ3519 ) and Scientific Research Project of Hunan Provincial Office of Education (Grant no. 17B003 ). The third author acknowledges the support of the National Natural Science Foundation of China (Grant No. 11771321). The fourth author thanks for the support of Hunan Provincial Natural Science Foundation of China (Grant No. 2018JJ3519) and Scientific Research Project of Hunan Provincial Office of Education (Grant no. 17B003).

本校为其他机构

In this paper, two localized meshless methods based on polynomial basis functions are utilized to solve axisymmetric problems. In the first approach, we applied the localized method of particular solutions (LMPS) and the closed-form particular solution to simplify the two-stage approach using Chebyshev polynomial as the basis functions for solving axisymmetric problems. We also propose the modified local Pascal polynomial method (MLPM) to compare the results with LMPS. Since only the low order polynomial basis functions are used, no preconditio...