Error analysis of the meshless finite point method

作者：

Highlights：

• A new error estimation is established theoretically for the meshlessnite point method.

• The error bound is directly related to the nodal spacing and the order of basis functions.

• Theoretical and numerical results show that the present estimation improves the previously reported estimations.

摘要

•A new error estimation is established theoretically for the meshlessnite point method.•The error bound is directly related to the nodal spacing and the order of basis functions.•Theoretical and numerical results show that the present estimation improves the previously reported estimations.

论文关键词：Meshless methods,Finite point method,Moving least squares approximation,Error estimates,Condition number

论文评审过程：Received 9 December 2019, Revised 29 March 2020, Accepted 19 April 2020, Available online 6 May 2020, Version of Record 6 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125326