A novel hybrid difference method for an elliptic equation

作者：

Highlights：

• A new hybrid difference method is presented along with a simple postprocessing.

• The proposed method is shown to be stable and locally conservative.

• A reliable and efficient a posteriori error estimate is established for computational efficiency.

• Several numerical experiments are carried out to confirm the theoretical findings.

摘要

•A new hybrid difference method is presented along with a simple postprocessing.•The proposed method is shown to be stable and locally conservative.•A reliable and efficient a posteriori error estimate is established for computational efficiency.•Several numerical experiments are carried out to confirm the theoretical findings.

论文关键词：Hybrid difference,Discontinuous Galerkin,Mass conservation,Post-processing,Error analysis,Adaptivity

论文评审过程：Received 25 March 2021, Revised 24 August 2021, Accepted 26 September 2021, Available online 17 October 2021, Version of Record 17 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126702