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- W4307486788 abstract "In this paper, we propose a pressure robust staggered discontinuous Galerkin method for the Stokes equations on general polygonal meshes by using piecewise constant approximations. We modify the right-hand side of the body force in the discrete formulation by exploiting a divergence preserving velocity reconstruction operator, which is the crux for pressure-independent velocity error estimates. The optimal convergence for the velocity gradient, velocity, and pressure is proved. In addition, we can establish the superconvergence of the velocity approximation by incorporating a divergence preserving velocity reconstruction operator in the dual problem, which is also an essential contribution of this paper. Finally, several numerical experiments are carried out to confirm the theoretical findings." @default.
- W4307486788 created "2022-11-02" @default.
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- W4307486788 date "2022-12-01" @default.
- W4307486788 modified "2023-10-16" @default.
- W4307486788 title "A pressure robust staggered discontinuous Galerkin method for the Stokes equations" @default.
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- W4307486788 doi "https://doi.org/10.1016/j.camwa.2022.10.019" @default.
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