In this paper we analyze a pressure-robust method based on divergence-free mixed finite element methods with continuous interior penalty stabilization. The main goal is to prove an $O(h^{k+1/2})$ error estimate for the $L^2$ norm of the velocity in the convection dominated regime. This bound is pressure robust (the error bound of the velocity does not depend on the pressure) and also convection robust (the constants in the error bounds are independent of the Reynolds number).

翻译：本文分析了一种基于无散混合有限元方法和连续内部罚款稳定的压力鲁棒方法。主要目的是证明在对流主导的情况下，对速度的$L^2$模的$O(h^{k+1/2})$误差估计。该界限具有压力鲁棒性（速度的误差界限不依赖于压力），同时具有对流鲁棒性（误差界限中的常数不依赖于雷诺数）。