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Viscosity robust weak Galerkin finite element methods for Stokes problems

  • Received: 01 April 2020 Revised: 01 July 2020 Published: 16 September 2020
  • Primary: 65N15, 65N30; Secondary: 35B45, 35J50, 35J35

  • In this paper, we develop a viscosity robust weak Galerkin finite element scheme for Stokes equations. The major idea for achieving pressure-independent energy-error estimate is to use a divergence preserving velocity reconstruction operator in the discretization of the right hand side body force. The optimal convergence results for velocity and pressure have been established in this paper. Finally, numerical examples are presented for validating the theoretical conclusions.

    Citation: Bin Wang, Lin Mu. Viscosity robust weak Galerkin finite element methods for Stokes problems[J]. Electronic Research Archive, 2021, 29(1): 1881-1895. doi: 10.3934/era.2020096

    Related Papers:

  • In this paper, we develop a viscosity robust weak Galerkin finite element scheme for Stokes equations. The major idea for achieving pressure-independent energy-error estimate is to use a divergence preserving velocity reconstruction operator in the discretization of the right hand side body force. The optimal convergence results for velocity and pressure have been established in this paper. Finally, numerical examples are presented for validating the theoretical conclusions.



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