Error analysis of the meshless finite point method

Xiaolin Li and Haiyun Dong

Applied Mathematics and Computation, 2020, vol. 382, issue C

Abstract: 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.

Keywords: Meshless methods; Finite point method; Moving least squares approximation; Error estimates; Condition number (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:382:y:2020:i:c:s0096300320302927

DOI: 10.1016/j.amc.2020.125326

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