Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 382, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125326
Keywords
Meshless methods; Finite point method; Moving least squares approximation; Error estimates; Condition number
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Funding
- National Natural Science Foundation of China [11971085, 11701055]
- Chongqing Municipal Education Commission [CXQT19018, KJZD-M201800501]
- Chongqing Research Program of Basic Research and Frontier Technology [cstc2018jcyjAX0266]
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The finite point method (FPM) is a notable truly meshless method based on the moving least squares (MLS) approximation and the point collocation technique. In this paper, the error of the FPM is analyzed theoretically. Theoretical results show that the present error bound is directly related to the nodal spacing and the order of basis functions used in the MLS approximation. The present error estimation is independent of the condition number of the coefficient matrix and improves the previously reported estimations. Numerical examples with more than 160000 nodes are given to confirm the theoretical result. (C) 2020 Elsevier Inc. All rights reserved.
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