A local projection stabilization virtual element method for convection-diffusion-reaction equation

作者：

Highlights：

• A new local projection stabilization term is introduced to keep the scheme stable in the convective-dominated regime.

• Compared with residual stabilization, the local projection stabilization is simpler in format and saves computation.

• Error estimates do not depend on the inverse of ϵ, which means that the method is effective for small viscosity coefficient.

• We have carried out numerical simulations for variable coefficients and constant coefficients, and obtained ideal results.

摘要

•A new local projection stabilization term is introduced to keep the scheme stable in the convective-dominated regime.•Compared with residual stabilization, the local projection stabilization is simpler in format and saves computation.•Error estimates do not depend on the inverse of ϵ, which means that the method is effective for small viscosity coefficient.•We have carried out numerical simulations for variable coefficients and constant coefficients, and obtained ideal results.

论文关键词：Virtual element method,Local projection stabilization,Convection-diffusion-reaction equation

论文评审过程：Received 30 July 2020, Revised 9 February 2021, Accepted 13 July 2021, Available online 1 August 2021, Version of Record 1 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126536