A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers

作者：

Highlights：

• A local projection stabilization term is introduced to keep the scheme stable for time-fractional Burgers equation with high Reynolds number.

• Construct the virtual element scheme for time-fractional Burgers equation on polygonal meshes in spatial.

• Based on scheme on a graded mesh in time direction, the error estimates are -robust.

• Numerical experiments are effective for time fractional Burgers equation with high Reynolds number.

摘要

•A local projection stabilization term is introduced to keep the scheme stable for time-fractional Burgers equation with high Reynolds number.•Construct the virtual element scheme for time-fractional Burgers equation on polygonal meshes in spatial.•Based on scheme on a graded mesh in time direction, the error estimates are -robust.•Numerical experiments are effective for time fractional Burgers equation with high Reynolds number.

论文关键词：Virtual element method,Time-fractional Burgers equation,Local projection stabilization,Polygonal meshes,High Reynolds number

论文评审过程：Received 29 November 2021, Revised 10 July 2022, Accepted 24 August 2022, Available online 5 September 2022, Version of Record 5 September 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127509