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- W3120785212 abstract "In this paper, we mainly consider the velocity error analysis of H(div)-conforming DG method for the semi-discrete time-dependent Navier–Stokes equations. Firstly, we prove that the L∞(0,T;L2(Ω)) error of the velocity is optimal and pressure-robust, but the constants in the velocity error bound are dependent on the inverse power of the viscosity, so it is not semi-robust. Secondly, we focus on pressure-robust and semi-robust velocity error analysis at high Reynolds numbers. By introducing the Raviart–Thomas interpolation operator, we prove that when the condition ν<Ch is satisfied, the L∞(0,T;L2(Ω)) error of the velocity, which is pressure-robust and semi-robust, is quasi-optimal. Numerical experiments are carried out to verify the analytical results." @default.
- W3120785212 created "2021-01-18" @default.
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- W3120785212 date "2021-07-01" @default.
- W3120785212 modified "2023-09-23" @default.
- W3120785212 title "Robust error analysis of H(div)-conforming DG method for the time-dependent incompressible Navier–Stokes equations" @default.
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- W3120785212 doi "https://doi.org/10.1016/j.cam.2020.113365" @default.
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