A three-step stabilized algorithm for the Navier-Stokes type variational inequality

作者：

Highlights：

• A novel three-step stabilized algorithm for the Navier-Stokes type variational inequality is proposed.

• The stabilized algorithm utilizes the lowest equal-order elements for the velocity and pressure.

• Errors of the approximates solutions in H1 and L2 norms are derived.

• Superiority of the three-step stabilized algorithm to both the one- and two-step stabilized algorithms is illustrated by numerical examples.

摘要

•A novel three-step stabilized algorithm for the Navier-Stokes type variational inequality is proposed.•The stabilized algorithm utilizes the lowest equal-order elements for the velocity and pressure.•Errors of the approximates solutions in H1 and L2 norms are derived.•Superiority of the three-step stabilized algorithm to both the one- and two-step stabilized algorithms is illustrated by numerical examples.

论文关键词：Navier-Stokes equations,Nonlinear slip boundary conditions,Stabilized method,Three-step method,Finite element

论文评审过程：Received 27 January 2022, Revised 22 June 2022, Accepted 1 August 2022, Available online 16 August 2022, Version of Record 16 August 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127463