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