Kirk, Keegan L.A.Rhebergen, Sander2022-05-162022-05-162019-08-30https://doi.org/10.1007/s10915-019-01040-yhttp://hdl.handle.net/10012/18285We present well-posedness and an a priori error analysis of the hybridized discontinuous Galerkin method for the stationary form of the Navier-Stokes problem proposed in (J Sci Comput, 76(3):1484{ 1501, 2018). This scheme was shown to result in an approximate velocity  eld that is pointwise divergence-free and divergence-conforming. As a consequence we show that the velocity error estimate is independent of the pressure. Furthermore, we show that estimates for both the velocity and pressure are optimal. Numerical examples demonstrate pressure-robustness and optimality of the scheme.enNavier-Stokesfinite element methodhybridizeddiscontinuous Galerkinpressure-robustArticle