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：本文分析了基于连续内部罚稳定化的散度自由混合有限元方法的压力鲁棒方法。主要目标是证明在对流主导区域中，速度在$L^2$范数下的$O(h^{k+1/2})$误差估计。该界是压力鲁棒的（速度的误差界不依赖于压力），同时也是输运鲁棒的（误差界中的常数与雷诺数无关）。