Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems

作者：

Highlights：

• Motivated by structure of the graph, the controllers of the child nodes are designed step by step.

• The connectivity preservation is guaranteed by using the proposed potential functions.

• The controller design has achieved the energy consumption on information exchange.

摘要

•Motivated by structure of the graph, the controllers of the child nodes are designed step by step.•The connectivity preservation is guaranteed by using the proposed potential functions.•The controller design has achieved the energy consumption on information exchange.

论文关键词：Meshless methods,Moving least squares approximation,Element-free Galerkin method,General second-order elliptic problem,Error estimates

论文评审过程：Received 13 January 2020, Revised 30 March 2020, Accepted 12 April 2020, Available online 18 April 2020, Version of Record 18 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125306