Lagrange nodal discontinuous Galerkin method for fractional Navier-Stokes equations

作者：

Highlights：

• The existence and uniqueness of weak solutions are obtained for the fractional Navier-Stokes equations.

• An efficient Lagrange nodal discontinuous Galerkin method is proposed.

• Stability and error estimates are analyzed rigorously.

摘要

•The existence and uniqueness of weak solutions are obtained for the fractional Navier-Stokes equations.•An efficient Lagrange nodal discontinuous Galerkin method is proposed.•Stability and error estimates are analyzed rigorously.

论文关键词：Fractional Navier-Stokes equation,Lagrange nodal discontinuous Galerkin method,Stability,Error estimate

论文评审过程：Received 8 March 2020, Revised 23 August 2020, Accepted 20 September 2020, Available online 6 October 2020, Version of Record 6 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125697