On pressure estimates for the Navier-Stokes equations
arXiv:1803.04366
Abstract
This paper presents a simple, general technique to prove finite element method (FEM) pressure stability and convergence. Typically, pressure estimates are ignored in the literature. However, full reliability of a numerical method is not established unless the solution pair is treated. The simplicity of the proposed technique puts pressure estimates within reach of many existing and future numerical methods and lends itself to the numerical analyst's toolbox.